4.2.4 Introduction to Coordinate Proof - Worksheet
Example 1: Position each figure in the coordinate plane. 1. a rectangle with a length of 4 units and width of 1 unit
2. a right triangle with leg lengths of 1 unit and 3 units
Example 2: Write a proof using coordinate geometry.
3. Given: Right △ PQR has coordinates P (0, 6), Q (8, 0), and R (0, 0). A is the midpoint of PR . B is the midpoint of QR . Prove: AB PQ =
y
1 2
P
4
A
2
x
2
6
R
B
Q
Example 3: Position each figure in the coordinate plane and give the coordinates of each vertex. 4. a right triangle with leg lengths m and n
5. a rectangle with length a and width b
Example 4: Assign coordinates to each vertex and write a coordinate proof. 6. Given: ∠ R is a right angle in △ PQR. A is the midpoint of PR. B is the midpoint of QR . Prove: AB PQ =
1 2
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