1. Outcome F Quadrilaterals
Flash Card Review

2. Question 1 What is the sum of the interior angles of a hexagon?
Hint: how many sides does a hexagon have?

3. Answer 1 What is the sum of the interior angles of a hexagon?
Hexagon has 6 sides.
n = 6
Hint: how many sides does a hexagon have?

4. Question 2 What is the sum of the exterior angles of a hexagon?
Hint: how many sides does a hexagon have?

5. Answer 2 What is the sum of the exterior angles of a hexagon?
The sum of the exterior angles of any polygon is 360°
Number of sides
Used to find the measure of 1 ext. angle
Measure of 1 ext. angle
Hint: how many sides does a hexagon have?

6. Question 3
Find the measure of one exterior and one interior angle of a regular decagon.
Hint: how many sides does a decagon have?

7. Answer 3
Find the measure of one exterior and one interior angle of a regular decagon.

8. Question 4

9. Answer 4

10. Question 5 Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms

11. Answer 5 Determine if the following figure is a parallelogram.
Yes, a pair of opposite sides are both congruent AND parallel.
Hint: Tests for Parallelograms

12. Question 6 Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms

13. Answer 6 Determine if the following figure is a parallelogram.
No, only have one pair of parallel lines and another pair of congruent sides.
Hint: Tests for Parallelograms

14. Question 7 Determine if the following figure is a parallelogram.
120°
Hint: Tests for Parallelograms

15. Answer 7 Determine if the following figure is a parallelogram.
120°
No, only given on pair of congruent sides and one interior angle measure. Not given enough information
Hint: Tests for Parallelograms

16. Question 8
What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?
Hint: Tests for Parallelograms

17. Answer 8
What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?
Slope Formula: both pairs of opposite sides have to be PARALLEL
Distance Formula: Both pairs of opposite sides have to be CONGRUENT
Midpoint Formula: DIAGONALS need to intersect at the same MIDPOINT
Distance & Slope Formula: One pair of opposite sides has to be PARALLEL and CONGRUENT
Hint: Tests for Parallelograms

18. Question 9 A B C D E
35°
37°
Hint: Consecutive angles of a parallelogram are supplementary

19. Answer 9 A B C D E
35°
37°
180 – ( ) = 108
Hint: Consecutive angles of a parallelogram are supplementary

20. Question 10
Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD M D C B A

21. Answer 10
Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD
2x + 1 = 5x – 5
6 = 3x
2 = x
DM = 5(2) – 5
DM = 5
DB = 5(2) = 10 M D C B A

22. Question 11 M A T R S

23. Answer 11 4x + 5 + 9x + 20 = 90 13x + 25 = 90 13x = 65 x = 13 M A T R

24. Question 12
Given the m∠CAB = 30° and BC = 17 in rectangle ABCD, find AB. M D C B A
Hint: Special Right Triangles

25. Answer 12
Given the m∠CAB = 30° and BC = 17 in rectangle ABCD, find AB. M D C B A C A B
30° 17

26. Question 13 If TA =16 in square TEAM, find MA.
Hint: Special Right Triangles

27. Answer 13 If TA =16 in square TEAM, find MA.
Hint: Special Right Triangles

28. Question 14
Solve for x and y. Find the most descriptive name for parallelogram UVWX.

29. Square: diagonals are congruent and all 4 sides are congruent.
Answer 14
Solve for x and y. Find the most descriptive name for parallelogram UVWX.
4x + 1 = 2x + 5
2x = 4
x = 2
5y + 4 = 3y + 6
2y = 2
y = 1
UV = 9 WX = 9
UX = 9 VW = 9
Square: diagonals are congruent and all 4 sides are congruent.

30. Question 15
In rhombus ABCD, find BD if AB = 5 and AC = 8 A D B C E

31. Answer 15 In rhombus ABCD, find BD if AB = 5 and AC = 8 A 5 4 3 E B D

32. Question 16 A D B C E

33. Answer 16

34. Question 17
Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

35. Answer 17
Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

36. Question 18
Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply

37. Answer 18
Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply
Square