# Geometry Study Guide

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```					                        Geometry Study Guide
Chapter 6
1. List the 5 properties of parallelograms. (Hint: one is in the definition.)

2. In parallelogram ABCD
a. If mA = 70, what is mB?
b. What is mC?
c. If AB = 6, what is CD?
d. If the diagonals cross at P and AP = 4, what is PC?
e. What is AC?

3. List the 5 tests for parallelograms. (Hint: one is the definition.)

a. If LM  NO and MN  LO, is it a parallelogram?
b. If L  M, is it a parallelogram?
c. If LM || NO and LM  NO is it a parallelogram?
d. If LN bisects MO is it a parallelogram?

5. Are rectangles parallelograms?

6. What are the 5 properties of rectangles?

7. In rectangle EFGH,
a. If EF = 4, what is GH?
b. If EG = 6, what is FH?
c. What is mH?
d. If FG = 2x and EH = x + 4, what is x?

8. Are squares also rhombi?
9. Are squares also rectangles?
10. Are squares and rhombi parallelograms?
11. What are the additional 3 properties of rhombi? (One is in the definition.)

12. In rhombus JKLM,
a. What kind of triangle is JKM?
b.   If JK = 3, what is KL?
c.   If mJKL = 30, what is mJLK and mMKL?
d.   If the diagonals intersect at I, what is mJIK?
e.   If mJ = 90 and JL = 5, what is KM? What shape is JKLM?

13. Are trapezoid parallelograms?
14. There are always one pair of noncongruent opposite sides in a ______________?
15. What are the 2 properties of a isosceles trapezoid?

16. What equation relates the median of a trapezoid and its bases?

17. The median is ______________ to the bases.

18. In isosceles trapezoid WXYZ with bases WX and YZ,
a. If mW = 40, what is mX?
b. If WY = 14, what is XZ?
c. If WX = 40 and YZ = 20, how long is the median?
d. What side is congruent to XY?

Define

2. Parallelogram (Draw one)

3. Diagonals

4. Consecutive angles

5. Supplementary

6. Bisect

7. Rectangle (Draw one)

8. Rhombus (Draw one)

9. Square (Draw one)

10. Trapezoid (Draw one)

11. Median of Trapezoid

12. Bases of Trapezoid

13. Isosceles Trapezoid

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