Geometry Midterm Exam Chapter One Chapter Two Chapter

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Geometry – Midterm Exam

Geometry – Midterm Exam

Chapter One Chapter Two Chapter Three Chapter Four Chapter Six 10 10 10 20

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

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

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

Answer 1 – 10 • line

Answer 1 – 10 • line

Question 1 - 20 • Point S lies between R and t on segment

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

Answer 1 – 20 • y = 7, RS = 60, ST = 36,

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

Question 1 - 30 • <MLN and <JKL are complementary. M<MLN = 7 x

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

Answer 1 – 30 • X = 8, m<MLN = 55 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)

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

Answer 1 – 40 • 7. 1

Answer 1 – 40 • 7. 1

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

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

Answer 1 – 50 • 120

Answer 1 – 50 • 120

Question 2 - 10 • Find a counterexample to prove this statement false. The

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

Answer 2 – 10 • 0 or any negative number

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

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

Answer 2 – 20 • clear and reversible

Answer 2 – 20 • clear and reversible

Question 2 - 30 • The measure of an angle is 48 degrees more

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

Answer 2 – 30 • 69 degrees

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

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

Answer 2 – 40 • Statement that proves something false.

Answer 2 – 40 • Statement that proves something false.

Question 2 - 50 • Find the values of the variables.

Question 2 - 50 • Find the values of the variables.

Answer 2 – 50 • x=7 y=9

Answer 2 – 50 • x=7 y=9

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

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

Answer 3 – 10 • x = 68 y = 32

Answer 3 – 10 • x = 68 y = 32

Question 3 - 20 • Solve for x:

Question 3 - 20 • Solve for x:

Answer 3 – 20 • x = 90

Answer 3 – 20 • x = 90

Question 3 - 30 • Find the equation of the line that is perpendicular

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

Answer 3 – 30 • y = -2 x + 8

Answer 3 – 30 • y = -2 x + 8

Question 3 - 40 • Find the equation of the line that is perpendicular

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

Answer 3 – 40 y = ½x + 2

Answer 3 – 40 y = ½x + 2

Question 3 - 50 • Tell whether the lines through the given points are

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

Answer 3 – 50 • perpendicular

Question 4 - 10 • Find the values of the variables.

Question 4 - 10 • Find the values of the variables.

Answer 4 – 10 • x = 10 and y = 20

Answer 4 – 10 • x = 10 and y = 20

Question 4 - 20 • Is it possible to prove the triangles congruent? If

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

Answer 4 – 20 • Yes, SAS

Answer 4 – 20 • Yes, SAS

Question 4 - 30 • Is it possible to prove the triangle congruent? If

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

Answer 4 – 30 • yes, HL

Answer 4 – 30 • yes, HL

Question 4 - 40 • Write an equation of the line that passes through

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

Answer 4 – 40 • y = -5/2 x – 4

Answer 4 – 40 • y = -5/2 x – 4

Question 4 - 50 • Find x, y, and z.

Question 4 - 50 • Find x, y, and z.

Answer 4 – 50 • x = 70, y = 110, z = 30

Answer 4 – 50 • x = 70, y = 110, z = 30

Question 5 - 10 • Find the sum of the measures of the interior

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

Answer 5 – 10 • 4140

Answer 5 – 10 • 4140

Question 5 - 20 • Each interior angle of the regular n-gon has a

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

Answer 5 – 20 • 18 sides

Question 5 - 30 • Find the values of the variables:

Question 5 - 30 • Find the values of the variables:

Answer 5 – 30 • x = 14

Answer 5 – 30 • x = 14

Question 5 - 40 • Find the values of the variables:

Question 5 - 40 • Find the values of the variables:

Answer 5 – 40 • x = 5 y = 11

Answer 5 – 40 • x = 5 y = 11

Question 5 - 50 • Find the measure of each angle:

Question 5 - 50 • Find the measure of each angle:

Answer 5 – 50 • 90, 30, 60, 30, 60

Answer 5 – 50 • 90, 30, 60, 30, 60