Quadrilaterals And Proof Worksheet With Answers (Page 4 of 6) in pdf

Quadrilaterals And Proof Worksheet With Answers Page 4

Problems

Find the required information and justify your answers.

For problems 1-4 use the parallelogram at right.

1. Find the perimeter.

2. If CT = 9, find AT.

3. If m∠CDA = 60º, find m∠CBA and m∠BAD.

4. If AT = 4x – 7 and CT = –x + 13, solve for x.

For problems 5-8 use the rhombus at right.

5. If PS =

6 , what is the perimeter of PQRS?

6. If PQ = 3x + 7 and QR = –x + 17, solve for x.

7. If m∠PSM = 22º, find m∠RSM and m∠SPQ.

8. If m∠PMQ = 4x – 5, solve for x.

For problems 9-12 use the quadrilateral at right.

9. If WX = YZ and WZ = XY, must WXYZ be rectangle?

10. If m∠WZY = 90º, must WXYZ be a rectangle?

11. If the information in problems 9-10 are both true,

must WXYZ be a rectangle?

12. If WY = 15 and WZ = 9, what is YZ and XZ?

For problems 17-20 use the kite at right.

17. If m∠XWZ = 95º, find m∠XYZ.

18. If m∠WZY = 110º and m∠WXY = 40º, find m∠ZWX.

19. If WZ = 5 and WT = 4, find ZT.

20. If WT = 4, TZ = 3, and TX = 10, find the perimeter

of WXYZ.

21. If PQ ≅ RS and QR ≅ SP , is PQRS a parallelogram?

Prove your answer.

22. WXYZ is a rhombus. Does WY bisect ∠ZWX? Prove your answer.

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Core Connections Geometry

Quadrilaterals And Proof Worksheet With Answers Page 4