Quiz about Representing and Comparing Transformations

Question 1

Triangle ABC is shown below. Suppose the triangle is translated 5 units to the right and 7 units down. What are the coordinates of the image of vertex C after this transformation?

Accepted Answer

(2, -6)

Answer

(-8, 6)

Answer

(-3, -6)

Answer

(2, 0)

Question 2

Which of these transformations preserve distance and angle measure? (select all)

Accepted Answer

Rotaitons

Accepted Answer

Reflections

Accepted Answer

Translations

Answer

Dilations

Question 3

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

Accepted Answer

The rotation (x, y) --> (-x, -y)

Answer

The translation (x, y) --> (x + 6, y - 2)

Answer

The rotation (x, y) -->(-y, -x)

Answer

The translation (x, y) --> (x + 4, y - 8)

Question 4

Which type of transformation is (x, y) --> (x + 2, y - 2)?

Accepted Answer

translation

Answer

dilation

Answer

reflection

Answer

rotation

Question 5

What is the image of (x, y) after a translation of 3 units right and 7 units down?

Accepted Answer

(x + 3, y - 7)

Answer

(x + 3, y + 7)

Answer

(x - 3, y - 7)

Answer

(x - 3, y + 7)

Question 6

What are the coordinates of P', the image of P(-4, 0) under the translation (x - 3, y + 6)?

Accepted Answer

(-7, 6)

Answer

(7, -6)

Answer

(1, 6)

Answer

(2, -3)

Question 7

What is the image of point (2, 5) under the translation that shifts (x, y) to (x + 3, y - 2)?

Accepted Answer

(5, 3)

Answer

(0, 3)

Answer

(0, 8)

Answer

(5, 8)

Question 8

A polygon is transformed according to the rule: (x,y) --> (x +2, y). Every point of the polygon moves two units in which direction?

Accepted Answer

right

Answer

up

Answer

down

Answer

left

Question 9

Under the transformation (x, y) --> (2x, 2y), which property is not preserved?

Accepted Answer

distance

Answer

orientation

Answer

parallelism

Answer

angle measure

Question 10

The transformation (x, y) --> (3x, 3y) represents...

Accepted Answer

a dilation

Answer

an isometry

Answer

a reflection

Answer

a translation

Question 11

Which transformation represents a dilation?

Accepted Answer

(8, 4) --> (4, 2)

Answer

(8, 4) --> (11, 7)

Answer

(8, 4) --> (-8, 4)

Answer

(8, 4) --> (-4, -8)

Question 12

The vertices of Triangle PQR have coordinates P(2, 3), Q(3, 8), and R(7, 3). Under which transformation of Triangle PQR are distance and angle measure preserved?

Accepted Answer

(x, y) --> (x + 2, y + 3)

Answer

(x, y) --> (2x, 3y)

Answer

(x, y) --> (x + 2, 3y)

Answer

(x, y) --> (2x, y + 3)

Question 13

Which transformation is an example of an opposite isometry?

Accepted Answer

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

Answer

(x, y) --> (x + 3, y - 6)

Answer

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

Answer

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

Question 14

Which transformation is not an isometry?

Accepted Answer

(x, y) --> (0.5x, 0.5y)

Answer

(x, y) --> (x + 6, y - 2)

Answer

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

Answer

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

Question 15

Which transformation would result in the perimeter of a triangle being different from the perimeter of its image?

Accepted Answer

(x, y) --> (4x, 4y)

Answer

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

Answer

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

Answer

(x, y) --> (x + 2, y - 5)

Representing and Comparing Transformations

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