Log in
Sign up for FREE
arrow_back
Library

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

star
star
star
star
star
Last updated over 1 year ago
11 questions
Vocabulary Section
Required
3
Required
3
Multiple Choice Section
Required
2
8.10.B
Required
2
8.3.B
Required
2
8.3.C
New Item Types Section
Required
2
8.10.A
Required
2
8.3.C
Required
6
Required
2
Bonus Section
0
8.10.D
0

***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.

Question 1
1.

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 2
2.

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.


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.
Question 7
7.
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' _______
Question 8
8.

Question 9
9.

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?


Question 10
10.

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?

Question 11
11.

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’?

Match each word with it's proper defintion.
Enlargement
A fixed point from which a dilation is generated
Reduction
When the scale factor is greater than 1, the image created is larger than the pre-image
Center of Dilation
When the scale factor is less than 1, the image created is smaller than the pre-image
Match each word with it's proper defintion.
Similar
Transformations that produce figures that are the same shape as the original figure, but not the necessarily the same size
Dilation
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.
Scale Factor
When two figures ratios of corresponding side lengths are equal
Which transformation does NOT preserve congruence?
(x, y) → (−x, −y)
(x, y) → (x − 5, y + 2)
(x, y) → (2x, 2y)
(x, y) → (−x, y)
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?
If a is greater than 1, the image of the polygon is greater than the original polygon.
If a is greater than 1, the image of the polygon is smaller than the original polygon.
If a is equal to 1, the image of the polygon is not congruent to the original polygon.
If a is less than 1, the image of the polygon is greater than the original polygon.
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.