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

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

4. 7-7 Quadrilaterals Learn to name and identify types of quadrilaterals.
Course 2
7-7
Quadrilaterals
Learn to name and identify types of quadrilaterals.

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

6. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A parallelogram has two pairs of
parallel sides.

7. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A rhombus has four congruent sides.

8. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A rectangle has four right angles.

9. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A square has four congruent sides
and four right angles.

10. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A trapezoid has exactly one pair
of parallel sides.

11. Course 2
7-7
Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A kite has exactly two pairs of congruent adjacent sides.

12. 7-7 Quadrilaterals Quadrilaterals can have more than one
Course 2
7-7
Quadrilaterals
Quadrilaterals can have more than one
name because the special quadrilaterals
sometimes share properties.

13. Additional Example 1A: Identifying Types of Quadrilaterals
Course 2
7-7
Quadrilaterals
Additional Example 1A: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral.
This figure has two pairs of parallel sides, so it is a parallelogram.
It has four congruent sides, so it is also a rhombus.

14. Additional Example 1B: Identifying Types of Quadrilaterals
Course 2
7-7
Quadrilaterals
Additional Example 1B: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral.
The figure has exactly two pairs of congruent, adjacent sides, so it is a kite.
It does not fit the definitions of any of the other special quadrilaterals.

15. Additional Example 1C: Identifying Types of Quadrilaterals
Course 2
7-7
Quadrilaterals
Additional Example 1C: Identifying Types of Quadrilaterals
Give all the names that apply to the quadrilateral.
The figure has two pairs of parallel sides, so it is a parallelogram.
It has four right angles, so it is also a rectangle.

16. Course 2
7-7
Quadrilaterals
Try This: Example 1A
Give all the names that apply to the quadrilateral.
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.

17. Course 2
7-7
Quadrilaterals
Try This: Example 1B
Give all the names that apply to the quadrilateral.
The figure has two pairs of parallel sides, so it is a parallelogram.
6 ft
6 ft
6 ft
6 ft
It has four congruent sides, so it is also a rhombus.

18. Course 2
7-7
Quadrilaterals
Try This: Example 1C
Give all the names that apply to the quadrilateral.
The figure has exactly one pair of parallel sides, so it is a trapezoid.
It does not fit the definitions of any of the other special quadrilaterals.

19. 7-7 Quadrilaterals A. All rhombuses are squares.
Course 2
7-7
Quadrilaterals
Additional Example 2A: Recognizing Relationships Between Quadrilaterals
Tell whether the statement is true or false. Explain your answer.
A. All rhombuses are squares.
A rhombus has four congruent sides, but some may or may not have right angles. The statement is false.

20. 7-7 Quadrilaterals B. Not all squares are rectangles.
Course 2
7-7
Quadrilaterals
Additional Example 2B: Recognizing Relationships Between Quadrilaterals
Tell whether the statement is true or false. Explain your answer.
B. Not all squares are rectangles.
A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement
is false.

21. 7-7 Quadrilaterals C. Some parallelograms are squares.
Course 2
7-7
Quadrilaterals
Additional Example 2C: Recognizing Relationships Between Quadrilaterals
Tell whether the statement is true or false. Explain your answer.
C. Some parallelograms are squares.
A square has all the properties of a parallelogram, so some parallelograms do have equal sides and right angles; however, some do not. The statement is true.

22. 7-7 Quadrilaterals A. All squares are rectangles.
Course 2
7-7
Quadrilaterals
Try This: Example 2A
Tell whether the statement is true or false. Explain your answer.
A. All squares are rectangles.
A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is true.

23. 7-7 Quadrilaterals B. Some rectangles are squares.
Course 2
7-7
Quadrilaterals
Try This: Example 2B
Tell whether the statement is true or false. Explain your answer.
B. Some rectangles are squares.
If the rectangle has four congruent sides, then it is a square. The statement is true.

24. 7-7 Quadrilaterals C. Some trapezoids are squares.
Course 2
7-7
Quadrilaterals
Try This: Example 2C
Tell whether the statement is true or false. Explain your answer.
C. Some trapezoids are squares.
A square has two sets of parallel sides, but a trapezoid has only one set of parallel sides. The statement is false.

25. Insert Lesson Title Here
Course 2
7-7
Quadrilaterals
Insert Lesson Title Here
Lesson Quiz: Part 1
1. Give all the names that apply to the quadrilateral.
rhombus
quadrilateral
parallelogram
Identify the quadrilateral described.
2. 4 right angles, 4 congruent sides
square
3. only one pair of parallel sides
trapezoid

26. Insert Lesson Title Here
Course 2
7-7
Quadrilaterals
Insert Lesson Title Here
Lesson Quiz: Part 2
Tell if each statement is true or false. Explain.
4. All quadrilaterals are parallelograms.
False; a quadrilateral is any 4-sided polygon.
5. Every parallelogram is a rectangle.
False; a rectangle is a specific kind of parallelogram with four right angles.