Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use...

18
Copyright © 3P Learning Pty Ltd 33 Series G Topic 1 Assessment Label these angles as reflex, right, obtuse, acute, straight or revoluon: Complete the following: Lines and angles Name ____________________ Use a ruler and pencil to draw: 2 3 1 a 2 parallel lines a draw in the diagonals on this shape b 2 intersecng lines b mark the interior angles on this shape c 2 perpendicular lines c mark equal sides on this isosceles triangle a angle d angle b angle e angle c angle f angle

Transcript of Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use...

Page 1: Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use the clues to draw and name this mystery quadrilateral: 1 My opposite sides are parallel.

Copyright © 3P Learning Pty Ltd

33Series G Topic 1 Assessment

Label these angles as reflex, right, obtuse, acute, straight or revolution:

Complete the following:

Lines and angles Name ____________________

Use a ruler and pencil to draw:

2

3

1

a 2 parallel lines

a draw in the diagonals on this shape

b 2intersectinglines

b mark the interior angles on this shape

c 2 perpendicular lines

c mark equal sides on this isosceles triangle

a

angle

d

angle

b

angle

e

angle

c

angle

f

angle

Page 2: Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use the clues to draw and name this mystery quadrilateral: 1 My opposite sides are parallel.

Copyright © 3P Learning Pty Ltd

34Series G Topic 1 Assessment

Label these angles as reflex, right, obtuse, acute, straight or revolution:

Complete the following:

Lines and angles Name ____________________

Use a ruler and pencil to draw:

2

3

1

a 2 parallel lines

a draw in the diagonals on this shape

b 2intersectinglines

b mark the interior angles on this shape

c 2 perpendicular lines

c mark equal sides on this isosceles triangle

a

angle

d

angle

b

angle

e

angle

c

angle

f

angle

straight

right

acute

obtuse

revolution

reflex

Page 3: Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use the clues to draw and name this mystery quadrilateral: 1 My opposite sides are parallel.

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35Series G Topic 1 Assessment

Use a protractor, ruler, pencil and strategy of your choice to measure this exterior angle:

Use a protractor, ruler and pencil to complete the following angles:

Lines and angles Name ____________________

5

6

4 Use a protractor to measure the interior angles of the following angles. Label each measured angle:

a b c

____°____°____°

a 45°

b 33°

c 90°

d 125°

Skills Not yet Kind of Got it

• Knowstermsparallel,perpendicular,intersecting,diagonalandinterior,andidentifiesandmarksequalsides

• Recognisesandlabelsacute,obtuse,straight,rightangled,revolutionandreflexangles

• Measures and draws acute, right angled and obtuse angles

• Measuresreflexanglesusingstrategyofchoice

______°

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36Series G Topic 1 Assessment

Use a protractor, ruler, pencil and strategy of your choice to measure this exterior angle:

Use a protractor, ruler and pencil to complete the following angles:

Lines and angles Name ____________________

5

6

4 Use a protractor to measure the interior angles of the following angles. Label each measured angle:

a b c

____°____°____°

a 45°

b 33°

c 90°

d 125°

Skills Not yet Kind of Got it

• Knowstermsparallel,perpendicular,intersecting,diagonalandinterior,andidentifiesandmarksequalsides

• Recognisesandlabelsacute,obtuse,straight,rightangled,revolutionandreflexangles

• Measures and draws acute, right angled and obtuse angles

• Measuresreflexanglesusingstrategyofchoice

______°

3510055

335

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37

Draw a polygon with 6 straight sides and 4 right angles. You may like to sketch some practice shapes on scrap paper first.

Use the clues to draw and name this mystery quadrilateral:

1 Myoppositesidesareparallel.

2 Allmysidesareofequallength.

3 All4interioranglesarerightangles.

4 Ifyoudrawinmydiagonals,rightanglesareformedattheintersection. Iama

Name the mystery polygons:

Series G Topic 2 Assessment

2D shapes Name ____________________

What is a polygon? Use words and diagrams to explain your answer:

2

3

4

5

1

a I have 4 equal sides and 4equalangles.Iama

_____________________

d Ihave8sidesand8angles.I am an

_____________________

b Iama3sidedpolygon.I have 2 equal sides and angles.Iama

_____________________

e Ihave6sidesand6angles.Myanglesumis720˚. I am a

_____________________

c I have 4 sides and 4angles.Ihave1pairofparallellines.Iama

_____________________

f Iamaquadrilateral.Bothpairsofoppositesidesareparallel.Iama

_____________________

Look at the regular pentagon on the right:

What is its angle sum?

108˚

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38

Draw a polygon with 6 straight sides and 4 right angles. You may like to sketch some practice shapes on scrap paper first.

Use the clues to draw and name this mystery quadrilateral:

1 Myoppositesidesareparallel.

2 Allmysidesareofequallength.

3 All4interioranglesarerightangles.

4 Ifyoudrawinmydiagonals,rightanglesareformedattheintersection. Iama

Name the mystery polygons:

Series G Topic 2 Assessment

2D shapes Name ____________________

What is a polygon? Use words and diagrams to explain your answer:

2

3

4

5

1

a I have 4 equal sides and 4equalangles.Iama

_____________________

d Ihave8sidesand8angles.I am an

_____________________

b Iama3sidedpolygon.I have 2 equal sides and angles.Iama

_____________________

e Ihave6sidesand6angles.Myanglesumis720˚. I am a

_____________________

c I have 4 sides and 4angles.Ihave1pairofparallellines.Iama

_____________________

f Iamaquadrilateral.Bothpairsofoppositesidesareparallel.Iama

_____________________

Look at the regular pentagon on the right:

What is its angle sum?

108˚

Answers will vary and may include:

straight sided closed shape

square

octagon

scalene triangle

hexagon

trapezium

rhombus or parallelogram

or square

540º

square

Answers will vary.

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39

If the radius of a circle is 8cm, what is its diameter?

Match the correct term with the parts of a circle:

Use a protractor to help you draw a triangle where one of the angles is double one of the others. Label each measurement.

Series G Topic 2 Assessment

2D shapes Name ____________________

Match the triangles with their correct names:

7

8

9

6

isosceles

radius centre circumference sector diameter

right angle scalene equilateral

Skills Not yet Kind of Got it

• Recognisespropertiesofsimplepolygonsandusesthesetodrawandname shapes

• Recognisesdifferenttypesoftriangles

• Knowsthattheanglesumofatriangleis180˚andusesthisknowledgeto construct a triangle

• Namespartsofacircle

• Understandsrelationshipbetweenradiusanddiameter

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40

If the radius of a circle is 8 cm, what is its diameter?

Match the correct term with the parts of a circle:

Use a protractor to help you draw a triangle where one of the angles is double one of the others. Label each measurement.

Series G Topic 2 Assessment

2D shapes Name ____________________

Match the triangles with their correct names:

7

8

9

6

isosceles

radius centre circumference sector diameter

right angle scalene equilateral

Skills Not yet Kind of Got it

• Recognisespropertiesofsimplepolygonsandusesthesetodrawandname shapes

• Recognisesdifferenttypesoftriangles

• Knowsthattheanglesumofatriangleis180˚andusesthisknowledgeto construct a triangle

• Namespartsofacircle

• Understandsrelationshipbetweenradiusanddiameter

Answers will vary.

16 cm

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41Series G Topic 3 Assessment

Do these pictures have rotational symmetry? If so, to which order?

Draw a shape that has 4 lines of symmetry. You may like to sketch out some ideas on scrap paper first.

Transformations, tessellations and symmetry Name ____________________

In each example, shade 8 more dots to make the dotted line a line of symmetry:

2

3

1

a b

a b c d

Yes / No

Order:___________

Yes / No

Order:___________

Yes / No

Order:___________

Yes / No

Order:___________

Page 10: Lines and angles Name - 3P Learningstatic.3plearning.com/mathletics/www/PrintableMaterials/...Use the clues to draw and name this mystery quadrilateral: 1 My opposite sides are parallel.

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42Series G Topic 3 Assessment

Do these pictures have rotational symmetry? If so, to which order?

Draw a shape that has 4 lines of symmetry. You may like to sketch out some ideas on scrap paper first.

Transformations, tessellations and symmetry Name ____________________

In each example, shade 8 more dots to make the dotted line a line of symmetry:

2

3

1

a b

a b c d

Yes / No

Order:___________

Yes / No

Order:___________

Yes / No

Order:___________

Yes / No

Order:___________

a b

Answers will vary.

3 3

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43

Shade shapes a and b to show:

Continue this tessellation across the page:

5

6

4

a

b

c

d

Look at each pair of figures. Decide if Shape A has been reflected, translated or rotated to arrive at Shape B.

reflection 180˚rotation

Series G Topic 3 Assessment

Transformations, tessellations and symmetry Name ____________________

a b

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44

Continue this tessellation across the page:6

4

a

b

c

d

Look at each pair of figures. Decide if Shape A has been reflected, translated or rotated to arrive at Shape B.

reflection 180˚rotation

Series G Topic 3 Assessment

Transformations, tessellations and symmetry Name ____________________

Shade shapes a and b to show:5

a b

reflected

reflected

translated

rotated

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45

Recreate this diagram so that it is twice as big:

Series G Topic 3 Assessment

Transformations, tessellations and symmetry Name ____________________

Why do quadrilaterals tessellate? Choose a quadrilateral to use as an example and explain using words and diagrams:

8

7

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

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� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

Skills Not yet Kind of Got it

• Identifiesanddrawslinesofsymmetry

• Identifiesrotationalsymmetryandorder

• Visualises,recognisesandrepresentstransformations–reflections,translationsandrotations

• Continuestessellations

• Demonstratesunderstandingofwhyshapestessellate

• Enlarges simple drawings

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46

Recreate this diagram so that it is twice as big:

Series G Topic 3 Assessment

Transformations, tessellations and symmetry Name ____________________

Why do quadrilaterals tessellate? Choose a quadrilateral to use as an example and explain using words and diagrams:

8

7

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

Skills Not yet Kind of Got it

• Identifiesanddrawslinesofsymmetry

• Identifiesrotationalsymmetryandorder

• Visualises,recognisesandrepresentstransformations–reflections,translationsandrotations

• Continuestessellations

• Demonstratesunderstandingofwhyshapestessellate

• Enlarges simple drawings

Answers will vary.

The core reason is that the vertices form 360º when they meet.

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47Series G Topic 4 Assessment

Demonstrate Euler’s Formula using this triangular prism as an example:

F+V–E=

How are prisms and pyramids similar? How are they different? Explain using words and/or diagrams:

3D shapes Name ____________________

Name the following 3D shapes and list their properties:

2

3

1

triangular prism

a

___________________

___________________

______ faces

______ edges

______ vertices

b

___________________

___________________

______ faces

______ edges

______ vertices

c

___________________

___________________

______ faces

______ edges

______ vertices

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48Series G Topic 4 Assessment

Demonstrate Euler’s Formula using this triangular prism as an example:

F+V–E=

How are prisms and pyramids similar? How are they different? Explain using words and/or diagrams:

3D shapes Name ____________________

Name the following 3D shapes and list their properties:

2

3

1

a

___________________

___________________

______ faces

______ edges

______ vertices

b

___________________

___________________

______ faces

______ edges

______ vertices

c

___________________

___________________

______ faces

______ edges

______ vertices

triangular prism

2

5 + 6– 9 = 2

pentagonal rectangular square based

pyramid prism pyramid

6 6 5

10 12 8

6 8 5

Answers will vary and may include:

Similiarities:

– straight edges

– 3D shapes

– 5 vertices

Differences:

– pyramids come to 1 point at the top

– prisms have 2 matching ends

– the faces of a pyramid are triangles, the faces of a prism are rectangles

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49

Use the dots to draw a triangular prism and a triangular pyramid:

Finish the drawings using the dots to guide you:

Series G Topic 4 Assessment

3D shapes Name ____________________

Circle the nets that will fold to make this square based pyramid:

5

6

4

a b c d e

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

Skills Not yet Kind of Got it

• Identifiesandnamessimplepolyhedrons

• Listsfaces,edgesandverticesofsimplepolyhedrons

• Describessimilaritiesanddifferencesbetweenpyramidsandprisms

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