Download Geometry Quarter 1 Review

Name:______________________
Date:_______________________
Geometry Quarter 1 Review
1.
Look at this pattern:
If the pattern continues, which of the following will come next?
A.
2.
B.
C.
D.
Y is the midpoint of XZ. XY = 3(x + 1) and YZ = 2(x + 4).
X
Y
Z
What is the length of XZ?
Use the information below to answer questions 3 and 4.
In the figure the coordinates are point A(-5, -1) and point B(5, 3).
3.
What is the distance from point A to point B?
4.
What is the midpoint of AB?
5.True or False.
If two lines intersect, then their intersection is a line. ________
Vertical angles are adjacent to each. _____________________
6.
In this figure, what is the value of x?
A.
7
B.
8
5xº
C.
40
D.
43
(6x – 5)º
97º
Name:______________________
Date:_______________________
7.
X
Y
Z
W
XZ = 10, YW = 12, and YZ =5. Find XW.
Use the diagram below to answer questions 8 and 9.
Given:
a||b
c||d
c
a
b
1
d
2
3
8.
Which is the best justification that  1  2?
A.
Vertical angles are congruent.
B.
If two lines are parallel, then alternate interior angles are congruent.
C.
If two lines are parallel, then alternate exterior angles are congruent.
D.
If two lines are parallel, then corresponding angles are congruent.
9.
Which is the best justification that  1  3?
A.
Vertical angles are congruent.
B.
If two lines are parallel, then alternate interior angles are congruent.
C.
If two lines are parallel, then alternate exterior angles are congruent.
D.
If two lines are parallel, then corresponding angles are congruent.
10.
3
1
5 6
7 8
2
4
n
m
m  1=56º and m n .
Find the measurement of all
of the other angles.
Name:______________________
Date:_______________________
11.
In the diagram, which statement justifies the m  1 = m  3?
A.
The vertical angle theorem.
B.
The definition of angle bisector.
C.
The transitive property of equality.
D.
The reflexive property of equality.
1
2
4
12.
Consider the following conditional statement: If x² = 36, then x = 6.
A.
The statement is true, and the converse is false.
B.
The statement is true, and the converse is true.
C.
The statement is false, and the converse is true.
D.
The statement is false, and the converse is false.
13.
In the figure, BD bisects  EBC. Which statement is true for  ABC?
A.
The angle is right.
A
B.
The angle is straight.
E
C.
The angle is obtuse.
D.
The angle is acute.
28º
D
3
(3x + 1)º
(4x – 8)º
C
B
14.
 ABC and  CBD are a linear pair. Which of the following statements
about the angles must be true?
A.
The angles are both acute.
B.
The angles are both obtuse.
C.
The angles are congruent.
D.
The angles are adjacent and supplementary.
15.
Fill in the blank.
If mBAD  mDAC , then ray AD is an ___________________________.
B
A

C



D
Name:______________________
Date:_______________________
16.
17.
Two lines intersect. They form ________.
A.
Corresponding Angles.
B.
Alternate Interior Angles.
C.
Alternate Exterior Angles.
D.
Vertical Angles.
In the figure, what is the value of x if AB  BC?
A.
15
D
B.
18
C.
20
(2x + 7)º
D.
24
A
(4x – 25)º
C
B
Use the statement below to answer questions 18 and 19.
If today is a holiday, then school is closed.
18.
Which of these is the converse of the given statement?
A.
If today is not a holiday, then school is not closed.
B.
If today is not a holiday, then school is closed.
C.
If school is closed, then today is a holiday.
D.
If school is closed, then today is not a holiday.
19.
Which of these is a counterexample to show that the converse is false?
A.
Today is not a holiday, and school is not closed.
B.
Today is a holiday, but school is not closed.
C.
School is closed, and today is a holiday.
D.
School is closed, but today is not a holiday.
20. For a plane to exist, there must be ________________ non-collinear points.
A) exactly 3
B) at least 3
C) at least 2
D) exactly 2
Name:______________________
Date:_______________________
21.
In the figure, which two lines are perpendicular?
A.
AE and BF.
B
A
B.
BF and CG.
C.
CG and DH.
D.
DH and BF
C
25º
H
40º
25º
D
Note: The figure is not drawn to scale
G
E
F
22. Given: AB = 3(2y - 6) , BD = 24 and B is the midpoint of AD .
Prove: y = 7
Statement
Reason
Name:______________________
Date:_______________________
23. Graph 2x  3y  12

2
24. Solve x  2  8 x  17
2
25. Factor x  6x  8
2
26. Factor x  13x  36

27. m1  (2 x  1) and m3  (3x  20)

Find m1, m2, m3 and m4.
1
2
4
3