8th Grade: 1.2 Similarity End of Topic Assessment- ORIGINAL

Instructions

***IMPORTANT***
When entering answers, only enter spaces between words. If you are entering an answer for an algebraic rule, ordered pairs/coordinates, or any numbers enter your response with no spaces.
Use parentheses where appropriate!
Examples:
Rule: (2x,2y)
Ordered Pairs/Coordinates: (-1,2)
There are no spaces between any characters.

Required

3

Match each word with it's proper defintion.

Draggable item		Corresponding Item
Reduction		A fixed point from which a dilation is generated
Center of Dilation		When the scale factor is greater than 1, the image created is larger than the pre-image
Enlargement		When the scale factor is less than 1, the image created is smaller than the pre-image

Required

3

Match each word with it's proper defintion.

Draggable item		Corresponding Item
Scale Factor		Transformations that produce figures that are the same shape as the original figure, but not the necessarily the same size
Similar		The ratio of the distance of the new figure from the center of dilation to the distance of the original figure from the center of dilation. Written as a fraction of the new figure compared to the original figure.
Dilation		When two figures ratios of corresponding side lengths are equal

Required

2

Which transformation does NOT preserve congruence?

Required

2

A polygon is graphed on a coordinate plane with (x, y) representing the location of a point on the polygon. The polygon is transformed using the rule (x, y) → (ax, ay).

Which statement must be true?

Required

2

Quadrilateral ABCD is dilated with the origin as the center of dilation to create quadrilateral A′B′C′D′.

Which rule best represents this transformation?

Required

2

The perimeter of trapezoid E’F’G’H’ is __________ times the perimeter of trapezoid EFGH.

The area of trapezoid E'F'G'H' is __________ times the area of trapezoid EFGH.

Required

2

Rectangle QRST has coordinates Q(−8, 5), R(−8, 7), S(−5, 7), and T(−5, 5). 

Dilate the rectangle by a scale factor of 4 with a center of dilation at the origin. 

Write a rule to describe this transformation and use the rule to determine the coordinates of point R′.

(X,Y) -->_______ 

R' _______

Required

6

Select all scale factors that are a reduction.

Choose THREE answers.

Required

2

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P′Q′R′S′.

What scale factor was used to dilate quadrilateral PQRS?

0

A trapezoidal door mat is similar in shape to a trapezoidal rug. Each dimension of the door mat is one-third the size of the rug.

By what factor is the area affected?

0

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create quadrilateral K’M’P’T’. The perimeter of quadrilateral KMPT is 60 units.

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

***IMPORTANT***

When entering answers, only enter spaces between words. If you are entering an answer for an algebraic rule, ordered pairs/coordinates, or any numbers enter your response with no spaces.

Use parentheses where appropriate!

Examples:

Rule: (2x,2y)

Ordered Pairs/Coordinates: (-1,2)

There are no spaces between any characters.

Match each word with it's proper defintion.

Match each word with it's proper defintion.

Which transformation does NOT preserve congruence?

A polygon is graphed on a coordinate plane with (x, y) representing the location of a point on the polygon. The polygon is transformed using the rule (x, y) → (ax, ay). Which statement must be true?

Quadrilateral ABCD is dilated with the origin as the center of dilation to create quadrilateral A′B′C′D′.Which rule best represents this transformation?

Select all scale factors that are a reduction.Choose THREE answers.

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P′Q′R′S′. What scale factor was used to dilate quadrilateral PQRS?

A trapezoidal door mat is similar in shape to a trapezoidal rug. Each dimension of the door mat is one-third the size of the rug.By what factor is the area affected?

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create quadrilateral K’M’P’T’. The perimeter of quadrilateral KMPT is 60 units. What is the perimeter, in units, of quadrilateral K’M’P’T’?

IMPORTANT

A polygon is graphed on a coordinate plane with (x, y) representing the location of a point on the polygon. The polygon is transformed using the rule (x, y) → (ax, ay).

Which statement must be true?

Quadrilateral ABCD is dilated with the origin as the center of dilation to create quadrilateral A′B′C′D′.

Which rule best represents this transformation?

Select all scale factors that are a reduction.

Choose THREE answers.

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P′Q′R′S′.

What scale factor was used to dilate quadrilateral PQRS?

A trapezoidal door mat is similar in shape to a trapezoidal rug. Each dimension of the door mat is one-third the size of the rug.

By what factor is the area affected?

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create quadrilateral K’M’P’T’. The perimeter of quadrilateral KMPT is 60 units.

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