4.2 Review Worksheet (continued)
15. Given: G is the midpoint of FH . EF ≅ EH Prove: ∠ 1 ≅ ∠ 2 E
16. Given: LM bisects ∠ JLK . JL ≅ KL Prove: M is the midpoint of JK.
L
K
J
1
2
M
H
F
G
Use the given set of points to prove each congruence statement. 17. R (0, 0), S ( 2, 4), T ( − 1, 3), U ( − 1, 0), V ( − 3, − 4), W ( − 4, − 1); ∠ RST ≅ ∠ UVW
18. A ( − 1, 1), B (2, 3), C (2, − 2), D (2, − 3), E ( − l, − 5), F ( − 1, 0); ∠ BAC ≅ ∠ EDF
4.2.4 Introduction to Coordinate Proof Position each figure in the coordinate plane. 19. a square with side lengths of 2 units
20. a right triangle with leg lengths of 1 unit and 5 units
Write a proof using coordinate geometry. 21. Given: Rectangle ABCD has coordinates A (0, 0), B (0, 10), C (6, 10), and D (6, 0). E is the midpoint of AB , and F is the
midpoint of CD . Prove: EF = BC
2
4
6
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