Unit 2 End of Unit Assessment

Last updated about 7 years ago
23 questions
Note from the author:
Open Up Resources Illustrative Mathematics Grade 8
1

Select all true statements.

1

Which pair of triangles must be similar?

1

Select all lines that have a slope of:


1

Here are some polygons.
Which of Polygons B, C, D, E, and F are similar or congruent to Polygon A?

1

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!

1

Triangles ABC and DEF are similar. Find the length of segment DF.

1

Triangles ABC and DEF are similar. Find the length of segment EF.

1

All of the points in the picture are on the same line.
What is the slope of the line? Reduce as much as possible.

1

All of the points in the picture are on the same line.
What is the value of a?

1

All of the points in the picture are on the same line.
What is the value of b?

1

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.

1

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′.

1

Draw the image of rectangle ABCD under dilation using center P and scale factor one-half. Label and connect the new points!

1

Are rectangles ABCD and EFGH similar? Explain how you know.

1

What is the slope of this line?
Reduce as much as possible. Write your answer as a fraction.

1

What must
equal?

Reduce as much as possible. Write your answer as a fraction.

1

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?

1

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?

1

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?

1

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?

1

Lines with the same slope are...

1

Which line has a slope of 2?

1

Which line has a slope of 1?