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Geometry Semester 1 Review

Total questions: 40

Worksheet time: 51mins

Name
Class
Date
1.

What term is defined as a portion of a line bounded by two points?

a)

Arc

b)

Axis

c)

Ray

d)

Segment

2.

Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x − axis. What will be the coordinates of the image of point P?

a)

(8, 4)

b)

(-4, 8)

c)

(4, -8)

d)

(-8, 4)

3.

Which transformation will map the figure onto itself?

a)

Counterclockwise rotation about the origin by 90°

b)

Rotation about the origin by 180°

c)

Reflection across the x − axis

d)

Reflection across the y − axis

4.

What is the image of M (11, −4) using the translation (x, y)-->(x – 17, y + 2)?

a)

M’ (−6, −2)

b)

M’ (6, 2)

c)

M’ (−11, 4)

d)

M’ (−4, 11)

5.

A triangle has vertices at

A (−3, −1), B (−6, −5), C (−1, −4).

Which transformations would produce an image with vertices A’ (3, −1), B’ (6, −5), C’ (1, −4)?

a)

A reflection over the x − axis

b)

A reflection over the y − axis

c)

A rotation 90° counterclockwise

d)

A rotation 90° clockwise

6.

Given the information regarding ΔABC and ΔDEF, which statement is true?
∠A ≅ ∠D
 ∠B ≅ ∠E 
  BCEF\overline{BC}\cong\overline{EF}  

a)

The given information matches the SAS criterion; the triangles are congruent.

b)

The given information matches the ASA criterion; the triangles are congruent.

c)

The given information matches the AAS criterion; the triangles are congruent.

d)

It cannot be shown that the triangles are necessarily congruent.

7.

Which type of construction can be accomplished by using the method shown?

a)

congruent segment

b)

segment bisector

c)

congruent angle

d)

parallel line

8.

What construction is being created by the diagram shown?

a)

copying an angle

b)

bisecting an angle

c)

copying a segment

d)

bisecting a segment

9.

Which statement is true about the two lines whose equations are given below?

3x – 5y = −3

−2x + y = −8

a)

The lines are perpendicular

b)

The lines are parallel

c)

The lines coincide

d)

The lines intersect, but are not perpendicular

10.

Which equation describes a line that passes through (6, −8) and is perpendicular to the line described by

4x – 2y = 6?

a)

y=12x5y=-\frac{1}{2}x-5

b)

y=12x3y=-\frac{1}{2}x-3

c)

y=2x3y=2x-3

d)

y=2x20y=2x-20

11.

Write an equation in point‐slope form for the perpendicular bisector of the segment with endpoints at A (‐2, 2) and B (5,4)

a)

y3=72(x1.5)y-3=-\frac{7}{2}\left(x-1.5\right)

b)

y3=23(x1.5)y-3=\frac{2}{3}\left(x-1.5\right)

c)

y1=27(x3.5)y-1=-\frac{2}{7}\left(x-3.5\right)

d)

y1=72(x3.5)y-1=-\frac{7}{2}\left(x-3.5\right)

12.

Vertical Angles are...

a)

complementary

b)

supplementary

c)

congruent

d)

none of these

13.

The interior angles of a triangle add to (a)   degrees.

14.

What type of angles are highlighted above?

a)

Alternate Exterior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Interior Angles

15.

What is the length of DE?

(a)  

16.
What is an "Acute" Angle
a)
Angle that measures 180
b)
An Angle that measure 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
17.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
18.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
19.

Parallel lines have the ______ slope.

a)

opposite reciprocal

b)

same

c)

negative

20.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
21.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

22.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
Yes, by HL
23.

Solve for x. (Just type the number, not x = )

(a)  

24.
Find the number of degrees in the third angle of the triangle
a)
155
b)
112
c)
74
d)
68
25.
Find the measure of ∠ACD. 
a)
130
b)
115
c)
65
d)
50
26.
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
27.
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
28.
Describe the relationship between the marked lines
a)
They are congruent
b)
They are perpendicular
c)
They are parallel
d)
All of the above
29.
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
30.
Name a pair of alternate exterior angles.
a)
∠AGE and ∠DHF
b)
∠AGH and ∠CHG
c)
∠GHC and ∠HGB
d)
∠CHF and ∠AGH
31.
Which word means equal in size and shape?
a)
polygon
b)
similar
c)
congruent
d)
detailed
32.
Which angle of the triangle is the smallest angle? 
a)
< A
b)
< B
c)
< C
d)
< ACB
33.
Do the following side lengths form a triangle?
5, 6, 9
a)
Yes
b)
No
34.
Do the following side lengths form a triangle?
3, 10, 7
a)
Yes
b)
No
35.
The centriod is the point of concurrency of the ______________________ of a triangle.
a)
Medians
b)
Altitudes
c)
Perpendicular Bisectors
d)
Angle Bisectos
36.
The point of concurrency of perpendicular bisectors is called the _____________________.
a)
Orthocenter
b)
Incenter
c)
Circumcenter
d)
Centriod
37.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
38.
If M(3, -4) is the midpoint of AB, where A is (2, -5), then what are the coordinates of B?
a)
B(2.5, -4.5)
b)
B(4, -3)
c)
B(1, -6)
d)
B(-3, 4)
39.
Find the measure of Angle 1
a)
94o
b)
86o
c)
47o
d)
102o
40.
What is the distance between (-5, 3) and (4, -5)
a)
Square root of -145
b)
Square root of 145
c)
145
d)
-145