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WorksheetsGeometry Strand 1
Total questions: 35
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
This diagram shows how a periscope works. If the two mirrors are parallel and ∠1≅∠3, what is the measure of ∠6 when the measure of ∠2 is 90°?
a)
30°
b)
45°
c)
50°
d)
60°
2.
The polygon A'B'C'D'E' is -
a)
a translation of ABCDE across the x-axis
b)
a 180° clockwise rotation of ABCDE about the origin
c)
a reflection of ABCDE across the y-axis
d)
a reflection of ABCDE across the x-axis
3.
The diagram shows a table being constructed. If the leg piece forms a 70° angle with the top of the table, what must be the value of x so that the top of the table is parallel to the floor?
a)
30°
b)
70°
c)
90°
d)
110°
4.
The diameter of a circle has endpoints (-3, 2) and (3, -2). Which is closest to the length of the diameter of the circle?
a)
1.4
b)
3.2
c)
7.2
d)
10
5.
Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?
a)
a)
b)
b)
c)
c)
d)
d)
6.
Which segment is apparently congruent to segment AB?
a)
segment AW
b)
segment AX
c)
segment AY
d)
segment AZ
7.
If ΔXYZ is reflected across the y-axis to form ΔX'Y'Z', what is the coordinate of Y'?
a)
(-3, 2)
b)
(4, 6)
c)
(2, -3)
d)
(3, -2)
8.
This figure is apparently symmetric with respect to -
a)
the x-axis only
b)
the y-axis only
c)
both the x-axis and the y-axis
d)
neither the x-axis and the y-axis
9.
The figure shown is apparently symmetric with respect to -
a)
line l only
b)
line m only
c)
both lines l and line m
d)
neither line l nor line m
10.
Triangle ABC is placed on a grid as shown. The apparent midpoint of segment AB is -
a)
(1.5, 1.5)
b)
(3, 3)
c)
(4.5, 4.5)
d)
(4.5, 1.5)
11.
Use the Law of Syllogism to draw a conclusion from the two given statements.
If two lines intersect and form right angles, the lines are perpendicular.
If two lines are perpendicular, they intersect and form 90° angles.
If two lines intersect and form right angles, the lines are perpendicular.
If two lines are perpendicular, they intersect and form 90° angles.
a)
The lines are perpendicular.
b)
If two lines intersect and form right angles, they intersect and form 90° angles
c)
If two lines do not intersect and form 90° angles, they do not form right angles.
d)
The lines intersect and form 90° angles.
12.
Given: If I get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.
I got a 94 on my test.
what conclusion can be made.
a)
I am smart.
b)
I got an A on my test.
c)
My mom will buy me a TV.
d)
I must have cheated.
13.
Identify each region of the Venn diagram that represents students who only play flute and the oboe.
a)
2
b)
4
c)
1
d)
3
14.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
15.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
16.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
17.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
18.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
19.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
20.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
21.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
22.
When constructing a line parallel to a given line, you will be
a)
copying a segment
b)
bisecting a segment
c)
copying an angle
d)
constructing a perpendicular
23.
Take a guess! Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
24.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
25.
What type of angle is this?
a)
obtuse
b)
acute
c)
right
d)
cute
26.
Parallel lines ...
a)
will never intersect
b)
intersect to form right angles
c)
are curved lines
27.
Perpendicular lines...
a)
will never intersect
b)
intersect to form right angles
c)
are curved lines
28.
Angles that have a measure less than 90 degrees are called _______ ________.
a)
acute angles
b)
obtuse angles
c)
right angles
d)
straight angles
29.
What does the image show?
a)
acute angles
b)
right angles
c)
straight angles
d)
obtuse angles
30.
In the diagram above, PF is perpendicular to HD. Which angles are complementary?
a)
GPH and DPC
b)
GPF and GPH
c)
GPD and DPC
d)
GPF and FPC
31.
Line j and line k intersect, as shown above. Which two pairs are congruent angles?
a)
R and S; T and U
b)
R and T; U and S
c)
T and S; U and R
d)
T and U; T and S
32.
Lines s and t intersect, as shown above. Which angles are vertical?
a)
2 and 3
b)
2 and 1
c)
3 and 4
d)
3 and 1
33.
In the diagram above, line k and line n are parallel. Line l is a transversal. What is the relationship between angles 1 and 2?
a)
Complementary
b)
Supplementary
c)
Corresponding
d)
Vertical
34.
Two angles are complementary. The measure of one angle is 15° more than twice the other. What is the measure of the smaller angle?
a)
25⁰
b)
35⁰
c)
55⁰
d)
65⁰
35.
What type of triangle is shown above?
a)
Scalene
b)
Isosceles
c)
Acute
d)
Right
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