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Unit 2 End of Unit Assessment
By Sarah Allen
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Last updated over 7 years ago
23 questions
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Note from the author:
Open Up Resources Illustrative Mathematics Grade 8
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Question 1
1.
Select
all
true statements.
Dilations always increase the length of line segments.
If a shape is dilated, the angles remain the same.
Dilations increase the measure of angles in a shape.
Dilations of a triangle are similar to the original triangle.
Dilations by a scale factor of 1 results in a congruent triangle.
Question 2
2.
Which pair of triangles
must
be similar?
Triangles 1 and 2 each have a 35 degree angle
Triangles 3 and 4 are both isosceles. They each have a 40 degree angle.
Triangle 5 has a 30 degree angle and a 90 degree angle. Triangle 6 has a 30 degree angle and a 70 degree angle.
Triangle 7 has a 50 degree angle and a 25 degree angle. Triangle 8 has a 50 degree angle and a 105 degree angle.
Question 3
3.
Select all lines that have a slope of:
A
B
C
D
E
Question 4
4.
Here are some polygons.
Which of Polygons B, C, D, E, and F are
similar or congruent
to Polygon A?
B
C
D
E
F
Question 5
5.
Choose
one
of the polygons that are
similar but not congruent
to Polygon A.
Describe a sequence of transformations that take Polygon A to the select polygon.
Be specific!
Question 6
6.
Triangles ABC and DEF are similar. Find the length of segment DF.
Question 7
7.
Triangles ABC and DEF are similar. Find the length of segment EF.
Question 8
8.
All of the points in the picture are on the same line.
What is the slope of the line?
Reduce as much as possible.
Question 9
9.
All of the points in the picture are on the same line.
What is the value of
a
?
Question 10
10.
All of the points in the picture are on the same line.
What is the value of
b
?
Question 11
11.
A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
Is the point (1, 60) on this graph?
Explain
how you know.
Question 12
12.
Dilate A using P as the center of dilation and a scale factor of 3. Label the new point A′.
Dilate B using P as the center of dilation and a scale factor of 2. Label the new point B′.
visibility
View drawing
Question 13
13.
Draw the image of rectangle ABCD under dilation using center P and scale factor one-half.
Label and connect the new points!
visibility
View drawing
Question 14
14.
Are rectangles ABCD and EFGH similar?
Explain how you know.
Question 15
15.
What is the slope of this line?
Reduce as much as possible. Write your answer as a fraction.
Question 16
16.
What must
equal?
Reduce as much as possible. Write your answer as a fraction.
Question 17
17.
Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of
h
?
Question 18
18.
Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the length of
c?
Question 19
19.
Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units.
What is the sum of e+d?
Question 20
20.
Here is line segment DE and its image D′E′ under a dilation.
Approximately
what was the center of dilation? Label it F.
Approximately
what was the scale factor?
visibility
View drawing
Question 21
21.
Lines with the same slope are...
parallel
perpendicular
intersecting
Question 22
22.
Which line has a slope of 2?
Line
l
Line
k
Question 23
23.
Which line has a slope of 1?
Line
l
Line
k