Quiz about Dilations Corresponding Sides

Question 1

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

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 2

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 3

Tell whether the two figures are similar. Explain your reasoning.

Accepted Answer

No, not similar because they are the same shape, but side lengths are not proportional.

Answer

Yes, similar because they are the same shape and side lengths are proportional.

Answer

Yes, same shape

Answer

No, different sizes

Question 4

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 5

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 6

Are the following similar? Why or why not?

Accepted Answer

Yes. All pairs of corresponding angles are congruent.

Answer

No, the corresponding angles are not equal.

Answer

No, the ratios of the corresponding sides are not equal.

Question 7

Find side length X.

Accepted Answer

10

Answer

22.5

Answer

9

Answer

7.5

Question 8

Question 8.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Which two triangles are similar?

Accepted Answer

Triangles ABC and JKL

Answer

Triangles ABC and EFD

Answer

Triangles ABC and GHI

Answer

Triangles EFD and JKL

Question 10

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4.

Accepted Answer

A(0,0), B(32,0), C(12,-8)

Answer

A(3,3), B(4,4), C(-3,-4)

Answer

A(-4,8), B(6.5,8), C(7,7)

Answer

A(0,4), B(8,4), C(3,4)

Question 11

Dilate Point A by a scale factor of 1/2

Accepted Answer

(-1,-1)

Answer

(-4,-4)

Answer

(-1,-4)

Answer

(-2,-2)

Question 12

Choose the correct scale factor:

Accepted Answer

1.5

Answer

2.5

Answer

3.5

Answer

4

Question 13

Question 13.

Accepted Answer

3/2

Answer

1/2

Answer

2

Answer

1

Question 14

The "image" is the shape before the dilation.

Accepted Answer

False

Answer

True

Question 15

In a dilation what mathematical operation is used with the scale factor?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 16

If a shape is dilated by a scale factor of one-half, what is the resulting perimeter?

Accepted Answer

The new perimeter is one-half the original

Answer

The new perimeter is 2 times the original

Answer

The new perimeter is one-fourth the original

Answer

The new perimeter is 4 times the original

Question 17

A dilation can produce a smaller figure also known as a ______

Accepted Answer

reduction

Answer

enlargement

Answer

scale factor

Answer

center of dilation

Question 18

A dilation can produce a larger figure also known as a ______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 19

If a dilation produces a congruent figure, then the scale factor was equal to _____.

Accepted Answer

1

Answer

1/2

Answer

2

Answer

10

Question 20

What is the algebraic rule for the dilated image?

Accepted Answer

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

Answer

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

Answer

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

Answer

(x, y) --> (x+1, y+2)

Question 21

Using the algebraic rule (x, y) --> (2.5x, 2.5y), what would be the coordinates of C' if point C is located at (-10, 8).

Accepted Answer

C'(-25, 20)

Answer

C'(-4, 3.2)

Answer

C'(-25, 8)

Answer

C'(-4, 20)

Question 22

Trapezoid JKLM has an area of 36 square inches. If this trapezoid is dilated by a scale factor of 2, what will the area be of J'K'L'M'?

Accepted Answer

144 in2

Answer

72 in2

Answer

36 in2

Answer

18 in2

Question 23

Using the algebraic rule (x, y) --> (2.5x, 2.5y), what would be the coordinates of C' if point C is located at (-10, 8).

Accepted Answer

C'(-25, 20)

Answer

C'(-4, 3.2)

Answer

C'(-25, 8)

Answer

C'(-4, 20)

Question 24

What happens to the perimeter of a square if the sides are    halved?

Accepted Answer

halved

Answer

doubles

Answer

quadrupled

Answer

forthed

Question 25

If a rectangle has an area of 48 cm², what would be the area of a similar rectangle if the dimensions are doubled?

Accepted Answer

192 cm2

Answer

96 cm2

Answer

216 cm2

Answer

2304 cm2

Question 26

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

Accepted Answer

quadruples

Answer

doubles

Answer

triples

Answer

not enough information

Dilations Corresponding Sides

27 questions

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

Are the following similar? Why or why not?

Tell whether the two figures are similar. Explain your reasoning.

The pair of figures is similar. Find the missing side.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

Are the following similar? Why or why not?

Find side length X.

Which two triangles are similar?

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of 4.

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