Unit 2 Mid-Unit Assessment

by Sarah Allen

| 16 QuestionsNote from the author:

Open Up Resources Illustrative Math Grade 8

1

5

Select all scale factors that would produce a larger image after the dilation is applied.

2

5

Rectangle A measures 10 cm by 4 cm. Rectangle B is similar to Rectangle A.

Select all of the measurement pairs that could be the dimensions of Rectangle B.

5 cm by 2 cm

15 cm by 6 cm

30 cm by 8 cm

100 cm by 40 cm

3

5

Rectangle A'B'C'D' is the image of ABCD using point P as the center of dilation. What was the scale factor used? Just write the number.

4

5

Lisa drew a triangle and a dilation of the triangle with the scale factor:

Which point is the center of dilation? Just write the capital letter.

5

5

Lisa drew a triangle and a dilation of the triangle with the scale factor:

Which triangle was the original triangle? Just write the 3 capital letters that name the triangle.

6

5

Lisa drew a triangle and a dilation of the triangle with the scale factor:

Which triangle is the dilated triangle? Just write the 3 capital letters that name the triangle.

7

5

If point A is (-6, -4), what are the coordinates of A' after a translation 3 units to the right and 6 units down?

Write your answer as: (x, y)

8

5

If point B is (9, 7), what are the coordinates of B' after a reflection over the x-axis?

Write your answer as: (x, y)

9

5

If point C is located at (-4, -5), what are the coordinates of C' after a dilation with a scale factor of 2 from the origin (0, 0)?

Write your answer as: (x, y)

10

5

If point D is located at (-6, 2), what are the coordinates of D' after a dilation with a scale factor of 1/2 from the origin (0, 0) ?

Write your answer as: (x, y)

11

5

Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2. Draw the triangle connect the three new points. Label the image A'B'C'.

12

5

These two triangles are similar. What is the scale factor? Write the number as a decimal.

13

5

These two triangles are similar. What is the value of x? Just write the number.

14

5

Draw the dilation of triangle ABC, with center (0, 0), and a scale factor of 1/2.

Connect the points and label the triangle A'B'C'.

15

5

Valerie says that Figure B is a scaled copy of Figure A. She says they are the same shape and have the same angles.

Do you agree with Valerie? Give one reason why or why not.

16

5

What are the three qualities that must match inorder for shapes to be congruent?

Same angles

Scale factor less than one

Same shape

Scale factor greater than one

Same side lengths

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