GH CH 5 Test Review

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 . ______ ______



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 =______



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 =______



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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GH CH 5 Test Review