Quiz about Dilations Review

Question 1

In the diagram, a person who is 6 feet tall is standing on the ground 4 feet away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?

Accepted Answer

A) $$\frac{6}{4}=\frac{h}{20}$$

Answer

B) $$\frac{4}{h}=\frac{20}{6}$$

Answer

C) $$\frac{4}{16}=\frac{h}{6}$$

Answer

D) $$\frac{6}{4} = \frac{20}{h}$$

Question 2

Figure I and Figure II are similar quadrilaterals. Which proportion must be true?

Accepted Answer

$$\frac{a}{10}=\frac{11.2}{8}$$

Answer

$$\frac{12}{16.8} = \frac{b}{a}$$

Answer

$$\frac{a}{b}=\frac{8}{2}$$

Answer

$$\frac{b}{8} = \frac{10}{11.2}$$

Question 3

A hexagon is dilated by a factor of 2.5. Which statement correctly describes the relationship between the shape and its image?

Accepted Answer

The ratios of the side lengths in the original shape to their corresponding side lengths in the image are equal.

Answer

There is not enough information to determine the relationship.

Answer

Both the sides and the angles are 2.5 times larger on the image.

Answer

The side lengths stay the same, but the angles are 2.5 times larger on the image.

Question 4

Hexagon QRSTUV shown below is dilated with the origin as the center of dilation to create hexagon Q'R'S'T'U'V'. Which of the following statements best describes this transformation?

Accepted Answer

The x- and y-coordinates of every point of the figure are multiplied by $$\frac{3}{2}$$ .

Answer

The x- and y-coordinates of every point of the figure are multiplied by $$\frac{2}{3}$$ .

Answer

The x-coordinate of every point of the figure is multiplied by $$\frac{3}{2}$$ .

Answer

The y-coordinate of every point of the figure is multiplied by $$\frac{2}{3}$$ .

Question 5

A triangle on a coordinate plane has vertices at (-4,3), (-4,-2), and (5,-2). If the triangle is dilated by a factor of $$\frac{3}{4}$$ , what will be the effect on the area?

Accepted Answer

The area will be multiplied by $$\left(\frac{3}{4}\right)^2$$ .

Answer

The area will be multiplied by $$\frac{3}{4}$$ .

Answer

The area will stay the same.

Answer

The area will be multiplied by $$\left(\frac{3}{4}\right)^3$$ .

Question 6

Quadrilateral MRTW is dilated by a scale factor of 2/3 to create quadrilateral M'R'T'W'. The perimeter of quadrilateral MRTW is x units. What is the perimeter in units of quadrilateral M'R'T'W'?

Accepted Answer

$$\frac{2}{3}$$ x units

Answer

<p>x units</p>

Answer

$$\frac{3}{2}$$ x units

Answer

$$\left(\frac{2}{3}\right)^{2}x$$ units

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics