Free Printable 8th Grade Unit 7 Test

1.

Figure I and Figure II are similar quadrilaterals.

Which proportion must be true?

a)

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

b)

$B\ \ \frac{3.2}{2}\ =\ \frac{8}{a}$

c)

$C\ \ \frac{b}{6.4}\ =\ \frac{8}{5}$

d)

$D\ \ \ \frac{2}{3.2}\ =\ \frac{b}{a}$

2.

Figure ABCDE is similar to figure VWXYZ.

a)

$A\ \ \ \ \ \frac{AE}{XY}\ =\ \frac{CD}{VZ}$

b)

$B\ \ \ \ \ \ \frac{AB}{VW}\ =\ \frac{YZ}{DE\ }$

c)

$C\ \ \ \ \ \ \frac{BC}{XY}=\ \frac{DE}{YZ}$

d)

$D\ \ \ \ \ \ \frac{AB}{VW}=\ \frac{CD}{XY}$

3.

Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule $\left(x,\ y\right)\ \rightarrow\ \left(\frac{1}{4}x,\ \frac{1}{4}y\right)$ to create pentagon M'N'P'Q'R'.

Which statement is true?

a)

A Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b)

B Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c)

C Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

d)

D Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

4.

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon The polygon is transformed using the rule $\left(x,y\right)\rightarrow\left(ax,\ ay\right)$ .

Which statement must be true?

a)

A If a is greater than 1, the image of the polygon is congruent to the polygon.

b)

B If a is between 0 and 1, the image of the polygon is congruent to the polygon.

c)

C If a is greater than 1, the image of the polygon is smaller than the polygon.

d)

D If a is between 0 and 1, the image of the polygon is smaller than the polygon.

5.

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L.

Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L?

a)

$A\ \ \ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ +\ 6,\ y\ -\ 3\right)$

b)

$B\ \ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ +4.5,\ y\ +\ 3\right)$

c)

$C\ \ \ \ \ \ \left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

d)

$D\ \ \ \ \ \ \left(x,\ y\right)\rightarrow\left(\frac{7}{4}x,\ \frac{7}{4}y\right)$

6.

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

a)

$A\ \ \ \ \ \left(20x,\ 20y\right)$

b)

$B\ \ \ \ \ \left(0.4x,\ 0.4y\right)$

c)

$C\ \ \ \ \ \left(x\ +\ 20,\ y\ +\ 20\right)$

d)

$D\ \ \ \ \ \left(x\ +\ 0.4,\ y\ +\ 0.4\right)$

7.

Trapezoid PQRS is rotated 180 degrees about the origin to form trapezoid P'Q'R'S'.

Which statement is true?

a)

A The sum of the angle measures of trapezoid PQRS is 180 degrees less than the sum of the angle measures of trapezoid P'Q'R'S.

b)

B Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

c)

C The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

d)

D The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

8.

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

a)

$A\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(\frac{1}{7}x,\ \frac{1}{7}y\right)$

b)

$B\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ +\ 7,\ y\ +\ 7\right)$

c)

$C\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x,\ -y\right)$

d)

$D\ \ \ \ \ \ \left(x,\ y\right)\rightarrow\left(y,\ -x\right)$

9.

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'. Which rule describes this transformation?

a)

$A\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ -\ 5,\ y\ -\ 3\right)$

b)

$B\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ +\ 5,\ y\ +\ 3\right)$

c)

$C\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ -\ 3,\ y\ -5\right)$

d)

$D\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x\ +\ 3,\ y\ +5\right)$

10.

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?

a)

A (x, y)

b)

B (x, -y)

c)

C (-x, y)

d)

D (-x, -y)

11.

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90 degrees clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

a)

$A\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(x,\ -y\right)$

b)

$B\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(-x,\ y\right)$

c)

$C\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(y,\ x\right)$

d)

$D\ \ \ \ \ \left(x,\ y\right)\rightarrow\left(y,\ -x\right)$

12.

Quadrilateral KMPT is dilated by a scale factor of $\frac{3}{4}$ to create quadrilateral K'M'P'T'. The perimeter of quadrilateral KMPT is x units.

What is the perimeter in units of quadrilateral K'M'P'T'?

a)

A x units

b)

B $\frac{3}{4}x\ units$

c)

C $\left(\frac{3}{4}\right)^2\ x\ units$

d)

D $\frac{4}{3}x\ units$

8th Grade Unit 7 Test - Transformations

Total questions: 12

Worksheet time: 3600secs

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