1. Classifying Quadrilaterals
8-7
Classifying Quadrilaterals
Course 2
Warm Up
Problem of the Day
Lesson Presentation

2. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Warm Up
Identify the triangle based on the given measurements.
1. 3 ft, 4 ft, 6 ft
2. 46°, 90°, 44°
3. 7 in., 7 in., 10 in.
scalene
right
isosceles

3. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Problem of the Day
One angle of a parallelogram measures 90°. What are the measures of the other angles?
all 90°

4. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Learn to name and identify, and draw types of quadrilaterals.

5. Insert Lesson Title Here
Course 2
8-7
Classifying Quadrilaterals
Insert Lesson Title Here
Vocabulary
parallelogram
rectangle
rhombus
square
trapezoid

6. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A parallelogram has both pairs of opposite sides parallel and congruent. Both pairs of opposite angles are congruent.

7. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
A rectangle has four right angles.
A rhombus has four congruent sides.

8. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
A square has four congruent sides
and four right angles.
A trapezoid has exactly one pair
of parallel sides.

9. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Quadrilaterals can have more than one
name because the special quadrilaterals
sometimes share properties.

10. Additional Example 1A: Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 1A: Classifying Quadrilaterals
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
This figure has two pairs of parallel sides, so it is a parallelogram.
It has four congruent sides, so it is also a rhombus.
Rhombus best describes this quadrilateral.

11. Additional Example 1B: Identifying Types of Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 1B: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
The figure has exactly one pair of opposite sides that is parallel, so it is a trapezoid.
Trapezoid best describes this quadrilateral.

12. Additional Example 1C: Identifying Types of Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 1C: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
The figure has two pairs of parallel sides, so it is a parallelogram.
It has four right angles, so it is also a rectangle.
Rectangle best describes this quadrilateral.

13. Additional Example 1D: Identifying Types of Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 1D: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
The figure has two pairs of parallel sides and both pairs of opposite angles are congruent, so it is a parallelogram.
Parallelogram best describes this quadrilateral.

14. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Check It Out: Example 1A
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
This figure has two pairs of parallel sides, so it is called a parallelogram.
It has four right angles, so it is also a rectangle.
Rectangle best describes this quadrilateral.

15. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Check It Out: Example 1B
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
The figure has two pairs of parallel sides, so it is a parallelogram.
It has four congruent sides, so it is also a rhombus. It does not have four right angles, so it is not a square or rectangle.
Rhombus best describes this quadrilateral.

16. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Check It Out: Example 1C
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
The figure has two pairs of opposite sides that are parallel, so it is a parallelogram.
It has four right angles, so it is also a rectangle. It has four congruent sides, so it is also a rhombus and a square.
Square best describes this quadrilateral.

17. Additional Example 2A: Drawing Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 2A: Drawing Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
a rectangle that is not a square.
Possible answer:
The figure has opposite sides parallel and four right angles but does not have four congruent sides.

18. Additional Example 2B: Drawing Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Additional Example 2B: Drawing Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
a square that is not a rhombus.
Not possible; all squares are rhombi because they have 4 congruent sides.

19. Classifying Quadrilaterals
Course 2
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Classifying Quadrilaterals
Check It Out: Example 2A
Draw each figure. If it is not possible to draw explain why.
a trapezoid that is a rectangle.
Not possible; A rectangle has four right angles and a trapezoid does not.

20. Classifying Quadrilaterals
Course 2
8-7
Classifying Quadrilaterals
Check It Out: Example 2B
Draw each figure. If it is not possible to draw explain why.
a rhombus that is not a square.
Possible answer:
The figure has four congruent sides but no right angles.

21. Classifying Quadrilaterals Insert Lesson Title Here
Course 2
8-7
Classifying Quadrilaterals
Insert Lesson Title Here
Lesson Quiz
1. Give all the names that apply to the quadrilateral. Then give the name that best describes it.
rhombus,
quadrilateral,
parallelogram; rhombus
Draw each figure. If it is not possible to draw, explain why.
2. 4 right angles, 4 congruent sides
square
3. only one pair of parallel sides
trapezoid