7-6 Quadrilaterals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the...
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Transcript of 7-6 Quadrilaterals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the...
7-6 Quadrilaterals
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Warm UpThe lengths of three sides of a triangle are given. Classify the triangle.
1. 12, 12, 12
2. 18, 10, 14
3. 15, 15, 26
4. 23, 36, 16
equilateral
scalene
isosceles
Course 1
7-6 Quadrilaterals
scalene
Problem of the Day
How many different rectangles are in the figure.
10; if the rectangles are marked 1-5 clockwise from upper left, they are 1; 2; 3; 4; 5; 1-2; 3-4; 4-5; 3-5; 1-2-3-4-5.
Course 1
7-6 Quadrilaterals
Vocabulary
quadrilateralparallelogramrectanglerhombussquaretrapezoid
Insert Lesson Title Here
Course 1
7-6 Quadrilaterals
Course 1
7-6 Quadrilaterals
A quadrilateral is a plane figure with four sides and four angles.
Five special types of quadrilaterals and their properties will be shown in this lesson. The same mark on two or more sides of a figure indicates that the sides are congruent.
Course 1
7-6 Quadrilaterals
Parallelogram
Opposite sides are parallel and congruent. Opposite angles are congruent.
RectangleParallelogram with four right angles.
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7-6 Quadrilaterals
Rhombus Parallelogram with four congruent sides.
SquareRectangle with four congruent sides.
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7-6 Quadrilaterals
TrapezoidQuadrilateral with exactly two parallel sides. May have two right angles.
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7-6 Quadrilaterals
Additional Example 1A: Naming Quadrilaterals
Give the most descriptive name for each figure.
The figure is a quadrilateral and a trapezoid.
Trapezoid is the most descriptive name.
A.
Course 1
7-6 Quadrilaterals
Additional Example 1B: Naming Quadrilaterals
Give the most descriptive name for each figure.
B.
The figure is a quadrilateral, a parallelogram, and a rectangle.
Rectangle is the most descriptive name.
Course 1
7-6 Quadrilaterals
Additional Example 1C: Naming Quadrilaterals
Give the most descriptive name for each figure.
C.The figure is a plane figure with three congruent sides.
Equilateral triangle is the most descriptive name.
Course 1
7-6 Quadrilaterals
Additional Example 1D: Naming Quadrilaterals
Give the most descriptive name for each figure.
D.The figure is a quadrilateral, parallelogram, and rhombus.
Rhombus is the most descriptive name.
Course 1
7-6 Quadrilaterals
Try This: Additional Example 1A
Give the most descriptive name for each figure.
A.The figure is a quadrilateral and a trapezoid.
Trapezoid is the most descriptive name.
Course 1
7-6 Quadrilaterals
Try This: Additional Example 1B
Give the most descriptive name for each figure.
B.
The figure is a quadrilateral.
Parallelogram is the most descriptive name.
Course 1
7-6 Quadrilaterals
Try This: Additional Example 1C
Give the most descriptive name for each figure.
C.The figure is a plane figure, but it has more than 4 sides.
This figure is not a quadrilateral. It is a hexagon.
Course 1
7-6 Quadrilaterals
Try This: Additional Example 1D
Give the most descriptive name for each figure.
D.The figure is a quadrilateral and a parallelogram.
Parallelogram is the most descriptive name.
Course 1
7-6 Quadrilaterals
You can draw a diagram to classify quadrilaterals based on their properties.
Course 1
7-6 Quadrilaterals
Additional Example 2A & 2B: Classifying Quadrilaterals
Complete each statement.
A. A rectangle can also be called a ________.
B. A parallelogram cannot be a __________.
A rectangle has opposite sides that are parallel; it can be called a parallelogram.
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A parallelogram has opposite sides that are parallel; it cannot be called a trapezoid.
Course 1
7-6 Quadrilaterals
Try This: Example 2A & 2B
Complete each statement.
A. A rhombus with four right angles is a ________.
B. A trapezoid has exactly _______ parallel sides, and may have _____ right angles.
A rhombus has four congruent sides, and the opposite sides are parallel. If it has four right angles, then it is a square.
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A trapezoid is a quadrilateral with exactly two parallel sides and it may have two right angles.
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Lesson QuizComplete each statement.
1. A quadrilateral with four right angles is a
_________.
2. A parallelogram with four right angles and four
congruent sides is a _______.
3. A figure with 4 sides and 4 angles is a ______.
4. Give the most descriptive name for this
quadrilateral.
square
square or rectangle
Insert Lesson Title Here
quadrilateral
trapezoid
Course 1
7-6 Quadrilaterals
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