Question 1

Two triangles are given to be similar. Triangle A has side lengths of

3

cm,

4

cm, and

5

cm. Triangle B has a corresponding shortest side of

9

cm. What are the lengths of the other two sides of Triangle B?

Accepted Answer

12

cm and

15

cm

Answer

12

cm and

15

cm

Answer

12

cm and

15

cm

Answer

12

cm and

15

cm

Question 2

Which of the following statements correctly describes the difference between congruent shapes and similar shapes?

Accepted Answer

Congruent shapes must be the exact same size and shape, while similar shapes must be the same shape but can be different sizes.

Answer

There is no difference; the terms congruent and similar mean the exact same thing in geometry.

Answer

Similar shapes must be the exact same size, while congruent shapes can be different sizes.

Answer

Congruent shapes only need to have the same angles, while similar shapes must have the same side lengths.

Question 3

If two polygons are congruent, which of the following must be true about their corresponding angles and side lengths?

Accepted Answer

All corresponding angles are equal and all corresponding side lengths are equal.

Answer

Only the corresponding angles are equal; the sides do not matter.

Answer

All corresponding angles are equal, but the side lengths must be different.

Answer

The side lengths are in a

3

ratio and the angles are different.

Question 4

If Rectangle A is similar to Rectangle B, and the ratio of their corresponding sides is

3

, what is the length of a side in Rectangle B if the corresponding side in Rectangle A is

4

cm?

Accepted Answer

<math>28</math> cm

Answer

<math>14</math> cm

Answer

<math>11</math> cm

Answer

<math>1.75</math> cm

Question 5

Two triangles are congruent. If the first triangle has angles of

3

degrees and

4

degrees, what must be the measurement of the largest angle in the second triangle?

Accepted Answer

<math>80</math> degrees

Answer

<math>60</math> degrees

Answer

<math>100</math> degrees

Answer

<math>180</math> degrees

Question 6

Two squares are similar. Square X has a side length of

3

cm and Square Y has a perimeter of

4

cm. What is the scale factor from Square X to Square Y?

Accepted Answer

Answer

Answer

Answer

Question 7

If two triangles are similar, which of the following properties must they share?

Accepted Answer

Their corresponding angles are equal.

Answer

Their perimeters are equal.

Answer

Their corresponding side lengths are equal.

Answer

The sum of their angles is different.

Question 8

Triangle PQR is similar to Triangle XYZ. If the ratio of the side lengths of PQR to XYZ is

3

and the perimeter of Triangle PQR is

4

cm, what is the perimeter of Triangle XYZ?

Accepted Answer

<math>35</math> cm

Answer

<math>70</math> cm

Answer

<math>5.6</math> cm

Answer

<math>28</math> cm

Question 9

An equilateral triangle has sides of length

3

cm. A second triangle is similar to the first with a scale factor of

4

. What is the perimeter of the second triangle?

Accepted Answer

<math>9</math> cm

Answer

<math>12</math> cm

Answer

<math>3</math> cm

Answer

<math>18</math> cm

Question 10

A photograph measuring

3

inches wide by

4

inches long is enlarged to be similar to the original. If the new width is

5

inches, what is the new length?

Accepted Answer

<math>15</math> inches

Answer

<math>20</math> inches

Answer

<math>12</math> inches

Answer

<math>14</math> inches

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