Free Printable 8th Grade Math, Unit 3 Quizizz

1.

Triangle OLD has vertices at (-2, 1), (2, 6), and (8, -3). Triangle NEW represents a dilation of triangle OLD. If the vertices of triangle NEW are located at. $\left(-\frac{4}{3},\frac{2}{3}\right),\left(\frac{4}{3},4\right)$ , and $\left(\frac{16}{3},-2\right)$ , which of the following represents the dilation that transforms triangle OLD to triangle NEW?

a)

$\left(x,y\right)\ \longrightarrow\ \left(\frac{4}{9}x,\frac{4}{9}y\right)$

b)

$\left(x,y\right)\longrightarrow\left(x+\frac{2}{3},\ y-\frac{1}{3}\right)$

c)

$\left(x,y\right)\longrightarrow\left(\frac{4}{3}x,\ \frac{4}{3}y\right)$

d)

$\left(x,y\right)\longrightarrow\left(\frac{2}{3}x,\ \frac{2}{3}y\right)$

2.

Trapezoid MNOP is rotated 180° about the origin to form trapezoid M’N’O’P’. Which statement is true?

a)

Trapezoid MNOP is not congruent to trapezoid M’N’O’P’.

b)

The area of trapezoid MNOP is less than the area of trapezoid M’N’O’P’.

c)

The sum of the angle measures of trapezoid MNOP is 180° less than the sum of the angle measures of trapezoid M’N’O’P’.

d)

The angle measures of trapezoid MNOP are equal to the corresponding angle measures of trapezoid M’N’O’P’.

3.

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

a)

(x,y) → (1.5x, 1.5y)

b)

(x,y) → (x + 2, y + 2)

c)

(x,y) → (x, -y)

d)

(x,y) → (y, -x)

4.

Fiona is an architect. She drew quadrilateral ABCD to represent a window. Then, using the origin as the center, she dilated it to obtain the larger quadrilateral A′B′C′D′. Which of the following algebraic expressions describes this transformation?

a)

$\left(x,y\right)\ \longrightarrow\ \left(1.5+x,\ 1.5+y\right)$

b)

$\left(x,y\right)\ \longrightarrow\ \left(-\frac{2}{3}x,\ -\frac{2}{3}y\right)$

c)

$\left(x,y\right)\ \longrightarrow\ \left(1.5x,\ 1.5y\right)$

d)

$\left(x,y\right)\longrightarrow\ \left(x+\frac{2}{3},\ y+\frac{2}{3}\right)$

5.

Alexa has a black rectangular tabletop and a white rectangular tabletop that are similar in shape. Each dimension of the black tabletop is 1.1 times the corresponding dimension of the white tabletop. Which statement below is true?

a)

The area of the black tabletop is 2.2 times the area of the white tabletop

b)

The perimeter of the black tabletop is 1.21 times the perimeter of the white tabletop.

c)

The area of the black tabletop is 1.21 times the area of the white tabletop.

d)

The perimeter of the black tabletop is 2.2 times the perimeter of the white tabletop.

6.

Figure ABCDEF is similar to figure MNOPQR. Which proportion must be true?

a)

$\frac{FC}{QP}\ =\ \frac{BC}{OP}$

b)

$\frac{EF}{QR}\ =\ \frac{CD}{MN}$

c)

$\frac{AB}{MN}\ =\ \frac{ON}{BC}$

d)

$\frac{AB}{MN}\ =\ \frac{ED}{QP}$

7.

On the coordinate grid below, the dashed figure is the image of a dilation applied to the smaller solid figure. Which of the following represents this dilation?

a)

$\left(x,y\right)\ \longrightarrow\ \left(\frac{2}{3}x,\frac{2}{3}y\right)$

b)

$\left(x,y\right)\ \longrightarrow\ \left(x+2,\ y+\frac{1}{2}\right)$

c)

$\left(x,y\right)\ \longrightarrow\left(6x,\ \frac{3}{2}y\right)$

d)

$\left(x,y\right)\ \longrightarrow\ \left(\frac{3}{2}x,\frac{3}{2}y\right)$

8.

Rectangle MNOP is shown on the coordinate grid. Rectangle MNOP is dilated with the origin as the center of dilation using the (x,y) → (1.5x, 1.5y) to create rectangle M’N’O’P’. Which statement is true?

a)

Rectangle M’N’O’P’ is larger than rectangle MNOP, because the scale factor is greater than 1.

b)

Rectangle M’N’O’P’ is smaller than rectangle MNOP, because the scale factor is less than 1.

c)

Rectangle M’N’O’P’ is smaller than rectangle MNOP, because the scale factor is greater than 1.

d)

Rectangle M’N’O’P’ is larger than rectangle MNOP, because the scale factor is less than 1.

9.

In the graph below, triangle DEF is a translation of triangle ABC. Which statement describes the translation of triangle ABC to triangle DEF?

a)

$\left(x,y\right)\ \longrightarrow\ \left(-x,-y\right)$

b)

$\left(x,y\right)\ \longrightarrow\ \left(x-5,y+2\right)$

c)

$\left(x,y\right)\ \longrightarrow\ \left(2x,\frac{1}{6}y\right)$

d)

$\left(x,y\right)\ \longrightarrow\ \left(x+2,y-5\right)$

10.

Refer to the graph below. Triangle ABC is reflected over the y-axis to create triangle A'B'C'. Which rule describes this transformation?

a)

$\left(x,y\right)\ \longrightarrow\ \left(-x,y\right)$

b)

$\left(x,y\right)\ \longrightarrow\ \left(x,-y\right)$

c)

$\left(x,y\right)\ \longrightarrow\ \left(y,-x\right)$

d)

$\left(x,y\right)\ \longrightarrow\ \left(-y,x\right)$

8th Grade Math, Unit 3 Quizizz

Total questions: 10

Worksheet time: 30mins

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