WorksheetsGeometry Fall Semester 2022 Final Exam
Total questions: 55
Worksheet time: 3hrs 45mins
Given A, B, and C are collinear points on a segment AC. Find the length of BC, if AB = 7 units and AC = 18 units.
BC = 12 units
BC = 11 units
BC = 25 units
BC = 10 units
Find x if the length of PR is 45 units in length. [Refer to the figure]
x = 3
x = 4
x = 6
x = 10
Suppose AC = 48, find the length of AB.
12
13
15
16
What is another name for line r?
line s
line BD
line N
line AC
If DE= 4x + 10, EF= 2x - 1, and DF = 9x - 15, find DF.
45
46
56
57
What is the midpoint between (-4,4) and (-2,2)?
(3,2)
(-3,3)
(4,5)
(6,7)
What is the distance between AB?
7 units
8 units
9 units
10 units
What is the distance between the two points?
6.3 units
6.5 units
6.7 units
6.9 units
Find the other endpoint C of line segment AC if point A has coordinates of (1, 2) and midpoint B has coordinates of (4, 4)
(7, 6)
(8, 7)
(9, 8)
(10, 9)
The midpoint of line segment AB is (3, 4). The coordinates of point A is (1, 1). Find the coordinates of point B.
(5, 9)
(7, 9)
(5, 7)
(7, 7)
What is the measure of the missing angle?
43 degrees
52 degrees
72 degrees
82 degrees
What is the measure of angle x?
20o
70o
160o
180o
What is the measure of the unidentified angle?
43 degrees
57 degrees
67 degrees
157 degrees
If m∠1 = 30°, then m∠4 =
30°
60°
150°
180°
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
50°
60°
80°
90°
How do you translate the blue trapezoid to the pink trapezoid?
5 Right
2 Down
5 Left
2 Up
3 Right
1 Down
3 Left
1 Up
Determine where T' would be if you translated T 3 units to the right and 6 units up.
(2, -5)
(-1, 1)
(5, 1)
(8, -2)
Write the rule for this translation: Slide 3 up and 2 right
(x, y)---->(x + 3, y + 2)
(x, y)-----> (x+2, y + 3)
(x, y)----> (x - 2, y + 3)
(x, y)----> (x - 2, y - 3)
What does this transformation say to do? (x, y) -----> (x, y +4)
slide down 4
slide up 4
slide right 4
slide left 4
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
(-13, 6)
(-5, 6)
(-6, -1)
(-6, 7)
What will be the coordinates of C' when reflected over the y-axis?
(3,0)
(-2,3)
(3,2)
(-3, 2)
ΔABC with A(1,6), B(2,10), C(5,6) is reflected in a line to create image ΔA'B'C' with A' (1,0), B' (2,-4), C' (5,0).
y = 0
x = 0
y = 3
y = x
What will be the coordinates of point E when reflected over the y-axis?
( 2, 0 )
( 2 , 2 )
( 0 , -2 )
( 0 , 2 )
Determine where the point X' would be if you translate point X over the line y = -x.
(-1, 4)
(1, -4)
(-4, 1)
(4, -1)
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
(3, 5)
(-3, -5)
(-5, 3)
(5, 3)
Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.
K' (-7, -8)
K' (8, -7)
K' (-8, 7)
K' (8, 7)
What is the image of S (2, -5) after a rotation of 90° clockwise about the origin?
S' (-5, -2)
S' (5, -2)
S' (-2, 5)
S' (5, 2)
How many degrees does this shape rotate counterclockwise about the origin?
90°
180°
270°
360°
What is the transformation from Triangle ABC to Triangle A''B''C''?
Reflection x-axis, then rotation of 180 Degrees
Reflection over y-axis, then rotation of 90 Degrees
Rotation of 90 Degrees, then reflection over x-axis
Rotation of 180 Degrees, then reflection over y-axis
Under what composition of transformations does triangle ABC map onto triangle A''B''C''
Reflection over x-axis, then rotation of 90 degrees ccw
Rotation of 90 degrees cw, then Reflection over y-axis
Reflection over y-axis, then Rotation of -90 degrees cw
Rotation of 90 degrees ccw, then Reflection over x-axis
Point A is rotated 180 degrees and then flipped over the y-axis. What is A" if A is (2,7)
(2,7)
(-2, -7)
(-2, 7)
(2, -7)
Identify the sequences of transformations from the green image to the red image to the blue image.
rotation then translation
translation then rotation
translation then reflection
rotation then reflection
If G is the midpoint of line segment AB, how do you classify Angle GAF?
Acute Isosceles
Obtuse Scalene
Right Isosceles
Obtuse Isosceles
What is the measure of angle A in the triangle?
25 degrees
54 degrees
62 degrees
116 degrees
In triangle WXY, if <X is congruent to <Y, WX = 9x - 11, XY = 4x + 1, and WY = 7x - 3, fid x.
x = 4
x = 5
x = 6
x = 7
If triangle RST is isosceles, what is the measure of angle S?
28 degrees
30 degrees
32 degrees
34 degrees
If triangle ABC is equilateral, what is the value of x?
x = 12
x = 13
x = 14
x = 15
Solve for x.
x = 6
x =7
x = 11
x = 16
Which of the following angles can you add together to equal angle d?
Angle a and Angle b
Angle b and Angle c
Angle a and Angle c
Angle a and Angle b and Angle c
What is the measure of angle b?
36o
56o
63o
117o
Find the measure of the indicated angle.
87 degrees
82 degrees
83 degrees
72 degrees
Solve for x.
2
1
3
4
If Triangle ABC is equilateral, what is the value of x?
x = 10
x = 11
x = 12
x = 13
Find the value of y.
y = 12
y = 24
y = 30
y = 60
Find the value of x.
24°
48°
66°
114°
Find the value of x.
30°
45°
60°
12°
Find the value of x
43°
47°
94°
137°
Find the value of y.
40°
50°
60°
80°
Triangle LMN is isosceles, angle L is the vertex angle, LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.
Find the value of x.
x = 1
x = 2
x = 3
x = 4
In triangle PQR, measure of angle P is 14 less than 5 times x, measure of angle Q is 5 less than x, and measure of angle R is nine less than twice x, find x.
x = 20
x = 22
x = 24
x = 26
IF triangle DEF is congruent to triangle GJH, what is the measure of side DF?
14 m
16 m
19 m
34 m
Given Triangle RWS is congruent to triangle TUV, find the value of x.
x = 9
x = 10
x = 11
x = 12
Given triangle RWS is congruent to triangle TUV, find the value of y.
y = 5
y = 6
y = 7
y = 8
If ΔDEF ≅ ΔGJH , find the measure of angle F.
34 degrees
41 degrees
105 degrees
180 degrees
Using the congruency statement given on the left, to which side is Side CE congruent to?
side RT
side PT
side PR
side RP
