Date:Name:

Geometry Period 7-1 Practice

Part 1: Identify Properties

*Note: Starting tomorrow in class you will be taking property quizzes, You will be provided a specific quadrilateral and

will be quizzed on how well you know it's properties.

1) What quadrilateral has only one set of parallel sides? 1' s03C.Q)Wb

2) Which quadrilateral(s) has all 4 sides congruent?

evol 3) What quadrilateral(s) has diagonals which are congruent and bisect each other?S ctuovrC

4) What must a quadrilateral be if it has one set of sides both parallel and congruent?

colos) What quadrilateral has diagonals that are congruent, but have different midpoints?

Frank says all rhombuses are parallelograms. Is this true?

Fiorella says all trapezoids are isosceles trapezoids. Do you agree? No-t-

anuel says that a rectangle is a square, always. Is he correct? NO

at quadrilateral has opposite sides with equal slopes and adjacent sides with opposite reciprocal slopes?

ink about what the relationship is with the e slope relationships)

QUICK! Go check your answers with the key before you continue on!

Part 2: Applying the Properties

Answer ALL parts of each question to complete.

1. In the accompanying diagram of parallelogram ABCD, diagonals AC and BD intersect at E, BE = 3x,and ED = x+10.

c

a) What is the value of x?

b) State the property of a parallelogram that you used to answer this question. (use your property sheet)

2) As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E.

Æ=x+2 BD=4x-16

a) Solve for the length of AC

zx+t

c

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b) State the property/properties of a rectangle that you used to answer this question. (use your property sheet)

3) In the diagram below of rhombus ABCD, tnZC= 100.a) What do you know about the relationship between BC and CD? Why?

6 C CD IVY

b) Mark the relationship you stated in a) into the diagram. 1000

cc) What type of triangle is ADBC (classify by sides)?

100d) What is tnZDBC?

4) In the diagram below of isosceles trapezoid DEFG, DE Il GF, DE—-4x-2, EF=3x+2, 51-3, and GD=21+5.(Hint: There may be too much information)!

a) Find the value of x. 4x-2 E

2X+5

G 5x-3 F

i) State the property/properties of an isosceles trapezoid that you used to answer this question. (use your

property sheet)

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5) In the diagram below, AB and CD are bases of trapezoid ABCD.

a) IfmZB= 123 and tnZD= 75, what ismZC?

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b) State the property of a trapezoid that you used to answer this question. (use your property sheet)

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i) The perimeter of a square is 24. In simplest radical form, find the length of the diagonal of the square.

72 --(o

COGState the property/properties of an isosceles trapezoid that you used to answe IS question. (use your

property sheet)

Part 3: Name that quad! What is MATH?

Examine the coordinates of the following quadrilateral and decide what type of quadrilateral is it and EXPLAIN how

you arrived at your answer, Use of the grid is optional.

(hint: start by solving the slopes of all 4 sides)

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BackFront

1) 2 sets of opposite sides are

Parallelogram (4) parallel

e flashcards on your quad properties: Example2 sets of opposite sides arecongruent

3) Diagonals bisect each other

4) One pair of opposite sides are

congruent parallel