Quiz about Dilations and Similarity in the Coordinate Plane

Question 1

A scale factor of less than one means

Accepted Answer

That the image will be a reduction of the pre-image.

Answer

that the image will be larger than the pre-image.

Answer

That the image will be the same as the pre-image.

Answer

That you need to subtract that amount off of each side.

Question 2

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

Accepted Answer

True

Answer

False

Question 3

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 4

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 5

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

Accepted Answer

(-3, 3)

Answer

(-12, 12)

Answer

(-2, 2)

Question 6

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Accepted Answer

Figure B

Accepted Answer

Figure D

Answer

Figure C

Question 7

Two figures can be similar if they have the _______ shape but _______ size.

Accepted Answer

Same, Different

Answer

Different, Same

Answer

Same, Same

Answer

Different, Different

Question 8

Calculate the value of the scale factor between the 2 triangles

Accepted Answer

3

Answer

2.5

Answer

3.5

Answer

4

Question 9

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

Accepted Answer

B' (8 ,18)

Answer

B' (2 , 4.5)

Answer

B' (-8 ,-18)

Answer

B' (9 ,4)

Question 10

The center of dilation is important because

Accepted Answer

All of the above

Answer

it's the location from which the dilation occurs.

Answer

All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

Answer

it's a fixed point on the plane about which all points are expanded or contracted.

Dilations and Similarity in the Coordinate Plane

15 questions

A scale factor of less than one means

Triangle REP has the coordinates
R(1, 5), E(–4, –4) and P(6, –4). If the image, R'E'P', has the coordinate
R'(3, 15), find E' and P'.

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

Finish the following similarity statement: Figure DEFGHI ∼ Figure (a)

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Two figures can be similar if they have the _ shape but _ size.

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Dilations and Similarity in the Coordinate Plane

15 questions

A scale factor of less than one means

Triangle REP has the coordinates R(1, 5), E(–4, –4) and P(6, –4). If the image, R'E'P', has the coordinate R'(3, 15), find E' and P'.

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

Finish the following similarity statement: Figure DEFGHI ∼ Figure ​ (a)

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Two figures can be similar if they have the _______ shape but _______ size.

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Triangle REP has the coordinates
R(1, 5), E(–4, –4) and P(6, –4). If the image, R'E'P', has the coordinate
R'(3, 15), find E' and P'.

Finish the following similarity statement: Figure DEFGHI ∼ Figure (a)

Two figures can be similar if they have the _ shape but _ size.