Geometry – Midterm Exam Created by Educational Technology Network. www.edtechnetwork.com 2009

10 20 30 40 50 Chapter One Chapter Two Chapter Three Chapter Four Chapter Six 10 20 30 40 50

Question 1 - 10 What is the intersection of two distinct, non parallel planes?

Answer 1 – 10 line

Question 1 - 20 Point S lies between R and t on segment RT. If RS = 8y + 4, ST = 4y+8, and RT = 15y – 9, find the value of y. Then find RS, ST, and RT.

Answer 1 – 20 y = 7, RS = 60, ST = 36, and RT = 96

Question 1 - 30 <MLN and <JKL are complementary. M<MLN = 7x – 1, and m<JLK = 4x + 3. Solve for x. And find m<MLN and m<JKL.

Answer 1 – 30 X = 8, m<MLN = 55 and m<JKL = 35

Question 1 - 40 Find LM to the nearest tenth if L(-4, -2) and M(1, 3).

Answer 1 – 40 7.1

Question 1 - 50 Ray SV bisexts <RST. If <RSV = 60, what is m<RST?

Answer 1 – 50 120

Question 2 - 10 Find a counterexample to prove this statement false. The cube of a number is always greater than that number.

Answer 2 – 10 0 or any negative number

Question 2 - 20 What does it mean to be a good definition.

Answer 2 – 20 clear and reversible

Question 2 - 30 The measure of an angle is 48 degrees more than the measure of its complement. What is the measure of the larger angle?

Answer 2 – 30 69 degrees

Question 2 - 40 What does it mean to be a counterexample?

Answer 2 – 40 Statement that proves something false.

Question 2 - 50 Find the values of the variables.

Answer 2 – 50 x = 7 y = 9

Question 3 - 10 Find the value of x and y:

Answer 3 – 10 x = 68 y = 32

Question 3 - 20 Solve for x:

Answer 3 – 20 x = 90

Question 3 - 30 Find the equation of the line that is perpendicular to y = 1/2x – 5 going through the coordinate point (4, 0)

Answer 3 – 30 y = -2x + 8

Question 3 - 40 Find the equation of the line that is perpendicular to the line y = -2x – 8 and goes through the coordinate point (4, 4).

Answer 3 – 40 y = ½x + 2

Question 3 - 50 Tell whether the lines through the given points are parallel, perpendicular, or neither. Line 1: (-9, 3) and (-5, 7) Line 2: (-11, 6) and (-7, 2)

Answer 3 – 50 perpendicular

Question 4 - 10 Find the values of the variables.

Answer 4 – 10 x = 10 and y = 20

Question 4 - 20 Is it possible to prove the triangles congruent? If so, how?

Answer 4 – 20 Yes, SAS

Question 4 - 30 Is it possible to prove the triangle congruent? If so, how?

Answer 4 – 30 yes, HL

Question 4 - 40 Write an equation of the line that passes through (-2, 1) and is parallel to 10x + 4y = -8

Answer 4 – 40 y = -5/2x – 4

Question 4 - 50 Find x, y, and z.

Answer 4 – 50 x = 70, y = 110, z = 30

Question 5 - 10 Find the sum of the measures of the interior angles of a 25-gon

Answer 5 – 10 4140

Question 5 - 20 Each interior angle of the regular n-gon has a measure of 160. Find the number of sides in the polygon.

Answer 5 – 20 18 sides

Question 5 - 30 Find the values of the variables:

Answer 5 – 30 x = 14

Question 5 - 40 Find the values of the variables:

Answer 5 – 40 x = 5 y = 11

Question 5 - 50 Find the measure of each angle:

Answer 5 – 50 90, 30, 60, 30, 30, 60