gh ch 5 test review
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8/8/2019 GH CH 5 Test Review
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Geometry Honors Name ________________________________
Chapter 5
Test Review
Classify each statement as TRUE or FALSE
1. All squares are rectangles _______
2. All rhombuses are squares. _______
3. All squares are rhombuses _______
4. Some rhombuses are rectangles. _______
5. Some parallelograms are trapezoids _______
Classify each statement as SOMETIME, ALWAYS, or NEVER true.
6. If the diagonals of quadrilateral ABCD are perpendicular then ABCD is __________ rhombus
7. The diagonals of a quadrilateral ___________ bisect each other.
8. The diagonals of a square ___________ bisect each other.
9. The diagonals of a trapezoid ___________ bisect each other.
10. The bases of a trapezoid are ___________ congruent.
11. The base angles of a trapezoid are ___________ congruent.
12. If AB = BC and CD = AD, then quadrilateral ABCD is ____________ a parallelogram.
13. UVWX is a parallelogram.
(a) Find x and y ________
(b) Is UVWX a rhombus? ________
(c) Is UVWX a rectangle? _______
(d) Is UVWX a square? ________
U 17 + x V
23 )1(2 + y
28 - x
73 - y
X )45(2 - x W
Exercises 14-15 refer to a parallelogram PQRS
14. If 102-= x PQ and xSR 3= , find all possible values of x . ________
15. m∠Q = 5x, m∠R = 3x – 2y, m∠S = 3x + 5y find all possible values of x and y . ______ ______
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16. In each diagram you are given that ABCD is a parallelogram, and some additional information.
For each one decide if ABCD is best described as a rectangle, rhombus, square, or just a parallelogram.
(a) ___________________ (b) ___________________
(c) ___________________ (d) __________________
17. ABCD is a rectangle
Find all possible values of x and y
y y 52-
A B
0)123( + x
D 24 C
18. EFGH is a rectangle
Find all possible values of x and y
2 x
E F
)1(3 - y 72- y
H 152 + x G
x = ______ y =______
9. ABCD is a rhombus. Find x and y.
x = ______ y =______
x = ______ y =______
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21. Recall: What is the Right Triangle Theorem?
22. If AB ⊥ BC, find x to the right.
x = ______
23. Find x and y to the right.
x = ______ y =______
24. Recall: What was the Triangle Midline Theorem?
25 Find x and y to the right.
x = ______ y =______
Exercises 26-29 refer to trapezoid ABCD with median EF
26. If 21= AB and 14=CD , find . EF _______
27. If 16= AB and 12=EF , find CD . ________
28. If x AB 3= , 12=CD , and 36=EF , find x. _______
29. If 13 += x AB , xCD 2= , and 32 += x EF , find x. ________
A B
E F
D C
20. If 128 -= x AB and 810 -= y BC , find x and y.
x = ______ y =______
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Please complete these proofs on a separate piece of paper!
30. Given: ABCD is a parallelogram, DC ⊥ BC, DF ≅ EC
Prove: ABEF is an isosceles trapezoid
31. Given: HANK is a parallelogram, HE ≅ FN
Prove: EAFK is a parallelogram
32. Given:HGE ≅ EBH (be careful with the order), GEC ≅
GHX
Prove: GEBH is a rhombus
33. Given: LK IJ || , ∠3 = ∠4, and ∠1 = ∠2
Prove: IJKL is a rectangle
34. Given: BD is the perpendicular bisector of AC , BC AD ||Prove: ABCD is a rhombus
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