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

2. 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 Course 2 7-7 Quadrilaterals

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

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

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

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 is a parallelogram with 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 is a parallelogram with at least one right angle.

9. Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A square is a rectangle with all sides congruent.

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

13. Insert Lesson Title Here Course 2 7-7 Quadrilaterals

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

15. Give all the names that apply to the quadrilateral. Additional Example 1B: Identifying Types of Quadrilaterals Course 2 7-7 Quadrilaterals 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.

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

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

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

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

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

21. Tell whether the statement is true or false. Explain your answer. Additional Example 2B: Recognizing Relationships Between Quadrilaterals Course 2 7-7 Quadrilaterals 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.

22. Tell whether the statement is true or false. Explain your answer. Additional Example 2C: Recognizing Relationships Between Quadrilaterals Course 2 7-7 Quadrilaterals 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.

23. Tell whether the statement is true or false. Explain your answer. Try This: Example 2A Course 2 7-7 Quadrilaterals 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.

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

25. Tell whether the statement is true or false. Explain your answer. Try This: Example 2C Course 2 7-7 Quadrilaterals 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.

26. Lesson Quiz: Part 1 Insert Lesson Title Here Course 2 7-7 Quadrilaterals 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

27. Lesson Quiz: Part 2 Insert Lesson Title Here Course 2 7-7 Quadrilaterals 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.