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ANSWER KEY
Honors Geometry Chapter 6 Review Guide #2
1. Draw, and label, a regular octagon.
2. Draw a non-convex pentagon.
Find the area of each quadrilateral.
3.
168 cm 2
4.
240 ft 2
6.
73.5 in 2
7.
480 yd 2
5.
127.75 mm 2
Tell whether the polygon is best described as EQUIANGULAR, EQUILATERAL, REGULAR or NONE.
8.
NONE
9. EQUIANGULAR
10. REGULAR
11.
EQUILATERAL
Name the special type of quadrilateral.
12. It has two pairs of consecutive congruent sides and has one pair of opposite congruent angles.
KITE
13. It has two pairs of consecutive congruent angles and one pair of opposite congruent sides.
ISOSCELES TRAPEZOID
14. It is equiangular but not equilateral.
RECTANGLE
15. In quadrilateral CRZY, CY || RZ and
What type of quadrilateral could it be?
∠C and ∠Y are supplementary.
TRAPEZOID
16. Find the area of the triangle with vertices
17. Solve for x.
x = 17
19. Solve for x.
x=7
N ( −3, −2 ) , F ( −3, 6 ) , and L ( 4,3) .
18. Solve for x
20. Solve for x.
28
x = 9 and y y = 5
x=6
Decide whether the statement is ALWAYS, SOMETIMES or NEVER true.
21. A kite is a quadrilateral.
ALWAYS
SOMETIMES
NEVER
22. A rectangle is a square.
ALWAYS
SOMETIMES
NEVER
23. A trapezoid is a kite.
ALWAYS
SOMETIMES
NEVER
24. A parallelogram is a square.
ALWAYS
SOMETIMES
NEVER
25. Solve for x.
x = 121
26. Solve for x.
x = 16
Remember the following to prove a quadrilateral is a parallelogram:
⦁ If both pairs of opposite sides are congruent.
⦁ If both pairs of opposite sides are parallel.
⦁ If both pairs of opposite angles are congruent.
⦁ If the diagonals bisect each other.
⦁ If one angle is supplementary to its consecutive angles.
⦁ If one pair of sides is parallel and congruent.
27. Find the area of a parallelogram with vertices
A ( 2,3) , B (10,3) , C (15,9 ) and D ( 7,9 ) .
48
28. What type of quadrilateral has vertices
29. The figure is a trapezoid. Find x.
A ( 3, 4 ) , B ( 0, −6 ) , C ( −3, 4 ) and D ( 0, 7 ) . KITE
x = 30
Are these polygons?
30. NO
31.
YES
32.
NO
33.
NO