Quiz about Similar Triangles on the Coordinate Plane

Question 1

Which transformation(s) create(s) similar figures?

Accepted Answer

Dilation

Answer

Translation, Reflection, and Rotation

Answer

Translation and Reflection

Answer

Reflection and Rotation

Question 2

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 3

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

Accepted Answer

The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

Answer

PQ and PR have the same length, so the slopes must be equal.

Answer

The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

Answer

The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

Question 4

Question 4.

Accepted Answer

Rotation

Answer

Reflection

Answer

Translation

Answer

Dilation

Question 5

Triangle HFG is rotated 90 degrees counterclockwise about the origin to form triangles ABC as shown. Which angle ABC must necessarily measure the same as angle F?

Accepted Answer

Angle B

Answer

Angle A

Answer

Angle C

Question 6

Question 6.

Accepted Answer

reflection across line BC and translation 4 units right

Answer

reflection across line BC and reflection across line AC

Answer

translation 4 units right and translation 4 units down

Answer

rotation 180 degrees clockwise about C and translation 4 units down

Question 7

A triangle drawn on a coordinate grid is dilated by a scale factor of 5 about the origin. Which statement regarding the original triangle and the resulting image is correct?

Accepted Answer

The two triangles are similar, but not congruent

Answer

The two triangles are congruent, but not similar.

Answer

The two triangles are similar and congruent

Answer

The two triangles are neither similar or congruent.

Question 8

Triangle LMN was dilated to create L'M'N'. The coordinates of the pre-image and the image are shown in the table below. Find the scale factor that was used in the dilation.

Accepted Answer

2.5

Answer

10

Answer

2

Answer

5

Question 9

Triangle PQR is shown. What are the coordinates of Q' when triangle PQR is dilated by a scale factor of 4 using the origin as center?

Accepted Answer

Q' (16,20)

Answer

Q' (20, 16)

Answer

Q' (36, 16)

Answer

Q' (24, 9)

Question 10

Triangle STU is a dilation of Triangle PQR. What is the scale factor in the dilation?

Accepted Answer

1.5

Answer

3/4

Answer

1/2

Answer

2

Question 11

Two objects that are the same shape, but not the same size are _______________________.

Accepted Answer

Similar

Answer

Complementary

Answer

Congruent

Answer

Vertical

Question 12

Which is a TRUE statement about dilations?

Accepted Answer

A dilation will ALWAYS produce a similar figure.

Answer

A dilation will ALWAYS reduce a figure.

Answer

A dilation will ALWAYS enlarge a figure.

Answer

A dilation will ALWAYS change the orientation of a figure.

Question 13

Point P is at (-2,3) and is dilated to Point P' at (-6,9). What is the scale factor?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Similar Triangles on the Coordinate Plane

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics