Unit 1B Summative Assessment

by Joy Mathis

| 20 QuestionsNote from the author:

Dilations & Translations

1

1

When triangle ABC was dilated by a scale factor of 2, centered at the origin, the result was its image. A`B`C` shown on the coordinate plane below.

The vertices of A`B`C` are A` (-4,4), B` (-4,6), and C`(2,4)

What are the coordinates of the vertices for the original triangle ABC? Explain how you determined them.

2

1

Are the triangles ABC and A`B`C` in question 1 congruent, similar or neither.

Congruent

Similar

Neither

3

1

When triangle ABC was translated using the rule (x, y) > (x-5, y+3), the result was image A`B`C` shown on the coordinate plane below. The vertices of the new image are A` (-4, 4), B` (-4, 6), and C` (2, 4)

What are the coordinates of the vertices of the original triangle ABC? Explain how you determined them.

4

1

Are the triangles in question 3 congruent, similar or neither.

Congruent

Similar

Neither

5

1

Translate triangle HJK shown on the coordinate plane below using the rule (x, y) > (x + 2, y - 3). What are the vertices of the new image?

6

1

On the coordinate plane below, what is the rule to translate point B to point A?

7

1

Triangle XYZ was dilated around the origin by a scale factor of 2/3 .

The original coordinates of XYZ are X (0, 3), Y (3, 6), and Z (-3, -9). What are the coordinates of the dilated image?

8

1

Quadrilateral S takes on a transformation that results in quadrilateral T, and the following are true.

* The corresponding angle measures of both quadrilaterals are congruent.

* The side lengths of quadrilateral T are twice as long as those of quadrilateral S.

Using the given information what transformation was done.

Translation

Rotation

Dilation

Reflection

9

1

Rectangle FGHJ, shown below, is translated 6 units right and 1 unit up to produce rectangle F`G`H`J`.

Which statement about the side lengths of rectangle F`G`H`J` is true?

F`G` = 3, G`H` = 5

F`G` = 3, G`H` = 6

F`G` = 9, G`H` = 5

F`G` = 9, G`H` = 6

10

1

Mia enlarged a plan for an outdoor stage. The original plan is shown below.

She dilated the outdoor stage by a scale factor of four with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices?

(2, 1)

(8, 16)

(32, 4)

(32, 16)

11

1

A dilation is which of the following:

An enlargement

A reduction

Either an enlargment or a reduction

Neither an enlargement or a reduction

12

1

If the scale factor is less than one, the new figure will be

an enlargement

a scale factor

a reduction

bigger

13

1

Dilate point B by a scale factor of 1/2.

(1.5, -4)

(-1, -1.5)

(-1.5, 1)

(-2, -2)

14

1

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

1/2

4

1/4

2

15

1

Which rule shows the transformation from the coordinate plane below?

(x, y) > (0.5x, 0.5y)

(x, y) > (2x, 2y)

(x, y) > (2 + x, 2 + y)

(x, y) > (3x, 3y)

16

1

Determine how to translate triangle ABC to triangle A`B`C`.

left 2, up 9

right 2, down 9

left 2, down 9

left 2, up 5

17

1

Determine the coordinate of X`after a translation using the rule (x, y) > (x -3, y- 9)

18

1

What transformation is happening?

(x, y) > (x + 2, y -3)

slide up 2, left 3

slide right 2, up 3

slide right 2, down 3

slide left 3, right 2

19

1

A transformation where a shape, image or figure changes location without any change in size.

Dilation

Rotation

Reflection

Translation

20

1

The results of a transformation

Pre- image

Image

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