Geometry M1_ Free Response
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Nevada Learning Academy *
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Course
101
Subject
Mathematics
Date
Nov 24, 2024
Type
Pages
4
Uploaded by californialove805
2
Name:
Geometry
Module 1 Free Response Exam (30 points)
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1.
Santana is creating a geometry game for extra credit in math class. He is testing some of his
questions on a friend based on the image below:
A.
Which figure above is a line segment? (2 pts)
AB
B.
Which figure above is a ray? (2 pts)
CD
C.
Explain, in detail, the differences between a line, a line segment, and a ray. (2 pts)
A line is a path on a plane that extends forever in both directions with no endpoints. A line
segment is a part of a line with 2 endpoints that has a limited length. A ray is a line
segment that extends forever in one direction.
2.
Use the image to answer the questions below:
A.
Name a linear pair. (1 pt)
KFE or KFE
B.
Name a pair of vertical angles. (1 pt)
Angle HG
C.
Name a pair of adjacent angles that are NOT a linear pair. (1 pt)
KFE & KHJ
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3.
In the image below,
m
∠
OMN
= (2x+9)° and
m
∠
LMN
= (6x-7)° and
m
∠
OML
= 66°.
Find
m
∠
OMN
and
m
∠
LMN
. (4 pts)
m<OMN= 25 m<LMN= 41
4.
If AB = 4x + 9, BC = 5x + 2, and AC = 56, then find the value for x, AB, BC. (4 pts)
x=5
5. B is the midpoint of line segment AC. If AB =
3x - 8 and BC = x + 12, find the value of x. (3 pts)
x=10
6. Find the distance between points A = (2, 0) and B = (0, 9). Round your answer to the nearest
tenth. (3 pts)
85
7. Find the midpoint of a line segment with endpoints A(-5, 5) and B(2, -5). Leave your answer in
fraction form. (3 pts)
(-3/2, 0
8. Find the other endpoint of the segment with a midpoint of (-6, 4) and endpoint of (4, 8). (3 pts)
(14,12)