Page 17 - Math Course 3 (Book 2)

Properties of Parallelograms

Properties of Parallelograms
What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices
L(0, –3), M(–2, 1), N(1, 5), O(3, 1)?
1
A. (– , –4) C. (2, 3)
2

1
B. ( , 1) D. (–1, –1)
2

Answer

Skill Practice!

Complete each statement about ▱DEFG. Justify your answer.
1. DG || __?__

2. DE ≅ __?__

3. GH ≅ __?__

4. ∠DEF ≅ __?__

5. ∠EFG is supplementary to __?__

6. △DGE ≅ __?__

ALGEBRA Use ▱WXYZ to find each measure or value.
7. m∠XYZ = ________ 7. m∠WYZ = ________

9. m∠WXY = ________ 9. a = ________

COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of parallelogram HJKL
given each set of vertices.

11. H(1, 1), J(2, 3), K(6, 3), L(5, 1) 12. H(–1, 4), J(3, 3), K(3, –2), L(–1, –1)

13. PROOF Write a paragraph proof of the theorem Consecutive angles in a parallelogram are supplementary.

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