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WorksheetsGeometry Year Overview
Total questions: 26
Worksheet time: 26mins
Name
Class
Date
1.
Find the number of degrees in the third angle of the triangle
a)
155
b)
112
c)
74
d)
68
2.
Solve for the variable.
a)
55
b)
80
c)
265
d)
47
3.
In the diagram, DC is the perpendicular bisector of AB and CE is the angle bisector of <ACD. Find the measure of <ACE
a)
90
b)
45
c)
30
d)
15
4.
Find the measure of ∠ACD.
a)
130
b)
115
c)
65
d)
50
5.
Which of the following transformations carry this regular polygon onto itself?
a)
Reflection across line l
b)
Rotation of 45° counterclockwise
c)
. Rotation of 60° counterclockwise
d)
Rotation of 72° counterclockwise
6.
Which transformation maps ∆ HEN to ∆ H'E'N' ?
a)
rotation
b)
translation
c)
glide reflection
d)
reflection
7.
Apply a dilation with a scale factor of ½ to triangle ABC. Let the image be triangle A’B’C’. Which one of the following equations is true?
a)
A’B’ = ½ (AB)
b)
AB = ½ (A’B’)
c)
m∠A’ = ½ (m∠A)
d)
m∠A = ½ (m∠A’)
8.
Which Scale Factor below results in an image SMALLER than the original figure?
a)
r ‹ 0
b)
0 ‹ r ‹ 1
c)
r = 1
d)
r › 1
9.
A triangle is dilated about center O with a scale factor of r=1. How will the size of the image compare to the size of the pre-image?
a)
the image will be larger than the pre-image
b)
the image will be exactly the same size as the pre-image
c)
the image will be smaller than the pre-image
d)
the pre-image will be larger than the image
10.
How does the location of the image compare to the location of the pre-image after a dilation about point O, by a scale factor of r=1/4 ?
a)
the image will be farther away from point O
b)
the image and pre-image will be equal distances from point O
c)
the image will be closer to point O
d)
the pre-image will be closer to point O
11.
Determine if the two triangles are congruent. If they are congruent, choose the best method for proving congruence.
a)
ASA
b)
Not Congruent
c)
SSS
d)
SAS
12.
Determine if the two triangles are congruent. If they are congruent, choose the best method for proving congruence.
a)
SAS
b)
SSS
c)
ASA
d)
AAS
13.
If two polygons are SIMILAR, then the corresponding angles must be _____.
a)
Complementary
b)
Congruent
c)
Supplementary
d)
Vertical Angles
14.
Prove △ABC =△ACD by SSS
a)
AC=CD
b)
DA=BC
c)
AB=AD
d)
DB=AC
15.
What is the missing step in the proof?
a)
m<3+m<4=180
b)
m<3+m<4=90
c)
m<3+m<4=360
d)
m<3=m<4
16.
Fill in the missing step in the proof.
a)
m<y+m<w=180 Linear pairs are supplementary
b)
m<y+m<x=180 Linear pairs are supplementary
c)
m<y+m<x=180 Vertical Angles are supplementary
d)
m<y+m<w=180 Vertical angles are supplementary
17.
If two polygons are SIMILAR, then the corresponding sides must be _____.
a)
Congruent
b)
Parallel
c)
Proportional
d)
Similar
18.
Describe the relationship between the marked lines
a)
They are congruent
b)
They are perpendicular
c)
They are parallel
d)
All of the above
19.
The triangle below is isosceles. How do we know this?
a)
All angles are congruent
b)
At least 2 angles are congruent
c)
No angles are congruent
d)
Not enough information
20.
Name a pair of alternate exterior angles.
a)
∠AGE and ∠DHF
b)
∠AGH and ∠CHG
c)
∠GHC and ∠HGB
d)
∠CHF and ∠AGH
21.
The distinct lines a, b, c and d are in the same plane with the given constraints a is perpendicular to b, b || c, and c is perpendicular to d. Describe how a and d relate. (Hint: Draw a picture first.)
a)
Line a is parallel to line d
b)
Line a intersects line d
c)
Line a is perpendicular to line d
d)
no relationship can be determined
22.
Which type of reasoning is used and why? If I have gotten A's on all my history tests, then I will get an A on my history final.
a)
Deductive, uses facts.
b)
Deductive, based on logic.
c)
Inductive, uses patterns.
d)
Inductive, uses facts.
23.
What ray is opposite ray EF
a)
Ray FE
b)
Ray EB
c)
Rat ED
d)
Ray DE
24.
Use the Law of Detachment to determine a conclusion, if possible. If it rains, then the grass is watered. The grass is watered.
a)
It rained
b)
The grass is not watered.
c)
It did not rain.
d)
Not possible.
25.
Use the Law of Detachment to determine a conclusion, if possible. If you score a goal, then you get a point. You scored a goal.
a)
You get a point.
b)
You win the game.
c)
You do not win.
d)
Not possible.
26.
Write as an if then statement. All dogs are animals.
a)
If it is an animal, then it is a dog.
b)
All animals are dogs.
c)
If it is a dog, then it is an animal.
d)
If it is not a dog, then it is not an animal.
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