Name:__________________________
Coordinate Geometry Proofs: Review Sheet
Date:______ Period:_____
Ms. Anderle
Review Sheet
The exam is worth 93 points and it will consist of:
 5, 3-point multiple choice questions.
o Review Questions (logic)
o Distance, Midpoint, Slope questions
 6, 3-point true/false questions
o Quadrilateral Properties
 9 Part III questions (various points)
o Distance, Midpoint, Slope (numbers)
o Distance, Midpoint, Slope – literal coordinates (letters)
o Quadrilateral Word Problems (trapezoid, parallelogram, rectangle, rhombus,
square)
 1 Coordinate Geometry Proof
o Right Triangle
o Isosceles Triangle
o Isosceles Right Triangle
1) Draw out the Quadrilateral Family True
2) List the properties of a parallelogram.
3) List the properties of a rhombus.
4) List the properties of a rectangle.
5) List the properties of a square.
6) List the properties of a trapezoid.
7) Find the length between point A(2a, a + b) and B(0, -a + b).
8) Find the length between point R(3k, 2b) and D(4k, 2b + 6)
9) What is the slope of B(m + n, 2m) and N(n, m + 2n)?
10) What is the midpoint of A(8x, 2y) and B(x, 7y)?
11) If the midpoint of segment JH is (7, 4) and J(5, 2), what is the coordinate of H?
12) M(7, 8) is the midpoint of segment AB. If A(14, 2) what is the coordinate of B?
13) How are CD and AB related if C(7, 8) and D(1, 1) and A(8, 11) and B(2, 4)?
14) What is the slope of P(0, 4) and Q(8, 2)?
15) In rectangle PQRS, diagonals PR and QS meet at T. If PT = 4, find the length of TR,
TQ, PR, and QS.
16) In parallelogram ABCD, the measure of <A exceeds the measure of <B by 26 degrees.
Find the degree measure of <B.
17) In rectangle ABCD, the length of diagonal AC is represented by 6b – 2 and the length
of diagonal BD is represented by 4b + 2. Find the value of b, AC, and BD.
18) The length of the shorter diagonal AC of rhombus ABCD is 7 and the measure of <ABC
= 60 degrees, find the length of a side of the rhombus.
19) In isosceles trapezoid ABCD, the measure of <ADC = 4x + 20 and the measure of <DAB
= 8x – 20. Find the value of x, <ADC, <DAB, <BCD, and <ABC.
20) Prove that the triangle with vertices A ( -2, 2 ), B ( 4, 2 ) and C ( 1, 6) is an isosceles
triangle.
21) Prove that triangle ABC is a right triangle with vertices A(0, 0), B(5, 0) and C(0,8)
22) Using coordinate geometry, prove that triangle LEO is an isosceles right triangle give
the vertices L( -3, -1 ), E( 0, -1 ) and O( 0, 2 ).