Font size
S
M
L
XL
WorksheetsGeom Ch5: Applications of Congruent Triangles & Transformations
Total questions: 38
Worksheet time: 1hrs 7mins
Name
Class
Date
1.
Find m∠SRT
a)
110
b)
70
c)
55
d)
60
2.
Find the length of CB
a)
3
b)
55
c)
cannot be determined
d)
70
3.
Solve for the values of x and y.
a)
x = 21, y = 11
b)
x = 11, y = 10.33
c)
x = 11, y = 11
d)
x = 16, y = 10.33
4.
Find the values of x and y.
a)
x = 7/5, y = -1
b)
x = 2, y = 1
c)
x = 7/5, y = 1
d)
x = 2, y =-1
5.
Find the value of x.
a)
62
b)
56
c)
118
d)
31
6.
Find the measure of a base angle of an isosceles triangle if the vertex angle has a measure of 38.
a)
38
b)
71
c)
142
d)
104
7.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
8.
Find SV
a)
18
b)
36
c)
21
d)
9
9.
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
10.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
11.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
12.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
13.
a)
22
b)
11
c)
3
d)
66
14.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
15.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
16.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
17.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
18.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
19.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
20.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
21.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
22.
Does a triangle with these side lengths exist?
33, 16, 17
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
23.
Describe the possible lengths for the third side of the triangle given the two sides 9 and 22.
a)
13 < x < 31
b)
13 > x > 31
c)
31 > x < 13
d)
31 < x < 13
24.
Use the image to compare the side lengths. RE ______ CR
a)
>
b)
<
c)
=
25.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
26.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
27.
Use the Hinge Theorem (or Converse) to write an inequality that describes the value of x.
a)
x<2
b)
x>2
c)
x>1
d)
x<1
28.
Compare measure of angle Y and measure of angle M.
a)
measure of angle Y = measure of angle M
b)
measure of angle Y > measure of angle M
c)
measure of angle Y < measure of angle M
d)
Not enough information is given.
29.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
30.
Which of the following is a possible length for segment AC
a)
10
b)
15
c)
17
d)
9
31.
Which of the following is a possible value for x?
a)
110
b)
120
c)
130
d)
100
32.
Use the Exterior Angle Inequality Theorem to SELECT ALL angles whose measures must be less than ∠9.
a)
∠7
b)
∠6
c)
∠3
d)
∠1
e)
∠2
33.
Which answer shows a reflection across the x-axis?
a)
A
b)
B
c)
C
d)
D
34.
The following is a ...
a)
Translation
b)
Reflection
35.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
36.
Identify the transformation from ABCD to A'B'C'D'.
a)
90o rotation
b)
Translation
c)
Reflection across the x-axis
d)
Reflection across the y-axis
37.
Label the transformation being shown.
a)
translation
b)
transformation
c)
reflection
d)
rotation
38.
Transformations that do not change or alter the size or shapes are
a)
rigid
b)
non rigid
Reset
