Unit 7 (Transformations) Quiz 1 (Dilation)

Unit 7 (Transformations) Quiz 1 (Dilation)

Assessment

Assessment

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Mathematics

8th Grade

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10 questions

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1.

Multiple Choice

2 mins

1 pt

Media Image

Triangle ABC is dilated from the origin with a scale factor of 3. Which of the following is the new coordinate for point A?

(3x, 3y)

(x + 3, y + 3)

(1/3x, 1/3y)

(x-3, y-3)

2.

Multiple Choice

2 mins

1 pt

Media Image

Look at point T on the pentagon below. If the pentagon is dilated by a scale factor of 1/2 from the origin, what will be the new location of point T.

(2x, 2y)

(x+2, y+2)

(1/2x, 1/2y)

(x+1/2, y+1/2)

3.

Multiple Choice

2 mins

1 pt

Triangle RST with vertices R(-8, 2), S(-8, -6) and T(4, -6) is dilated by a scale factor of 1.5. Which statement is false?

Triangle RST is smaller than triangle R'S'T'.

The algebraic representation for the dilation is (x, y) --> (1.5x, 1.5y).

Triangle RST is bigger than triangle R'S'T".

Triangle RST and R'S'T' are similar.

4.

Multiple Choice

2 mins

1 pt

Media Image

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

Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

(x, y) --> (0.4x, 0.4y)

(x, y) --> (x + 3, y + 1.5)

(x, y) --> (2.5x, 2.5y)

(x, y) --> (x - 1.5, y + 3)

5.

Multiple Choice

2 mins

1 pt

Media Image

Triangle ABC and its dilation, triangle A'B'C', are shown.

Which statement about triangle ABC and triangle A'B'C' is true?

The angles of triangle A'B'C' will be 1.5 times greater than the angles of triangle ABC.

The angles of triangle A'B'C' will be 2/3 of the angles of triangle ABC.

The sidle lengths of triangle A'B'C' are 1.5 times the side lengths of triangle ABC.

The side lengths of triangle A'B'C' are 2/3 of the side lengths of triangle ABC.

6.

Multiple Choice

2 mins

1 pt

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

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