Unit 5: Transformations Review Game

Vocabulary

100

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

What is translation?

200

Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.

What is transformations?

300

The transformation that is a combination of a reflection and a translation.

What is glide reflection?

400

A transformation in which a plane figure turns around a fixed center point.

What is rotation?

500

A transformations that preserves distance; e.g. reflection, rotation, and translation.

What is an isometry?

Translations

100

The vector notation for a figure that is translated 3 units left.

What is <-3, 0>?

200

Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.

What is A'(4, -1)?

300

Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by <-5, 1>.

What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?

400

Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.

What is M'(1, 1) and N'(2, -1)?

500

The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).

What is (x, y)-->(x, y-4)?

Reflections

100

The equation for the line of reflection if a figure is reflected over the y-axis.

What is x=0?

200

The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.

What is X'(-3, -1)?

300

The coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the line x=2.

What is M'(6, -4), N'(7, 1), and O'(4, 2)?

400

The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).

What is y=-1?

500

The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8).

What is x=-3?

Rotations

100

This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.

What is a rotation of 180 degrees?

200

The rotation that creates the same image as a rotation 270 degrees clockwise.

What is a rotation 90 degrees counterclockwise?

300

Rotate Triangle ABC 270 degrees about point B. A(3, 2), B(1,1), C(4,1).

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

400

Triangle PQR has vertices P(5, 4), Q(2, 2), and R(6, 2). Rotate triangle PQR 180 degrees about point Q. What are the coordinates of the new vertices of triangle P'Q'R' after the rotation?

• P′=(−1,0)
• Q′=(2,2)
• R′=(−2,2)

500

Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.

What is A'(3, 2) and B'(1, -2)?

Compositions

100

Triangle DEF has vertices D(1, 2), E(4, 3), and F(2, 5). Perform the following composition of isometries:

1. Reflect triangle DEF over the y-axis.
2. Then, translate the resulting triangle by the vector ⟨−3,2⟩\langle -3, 2 \rangle⟨−3,2⟩. What are the coordinates of the new vertices of triangle D'E'F' after both transformations?

• D′=(−4,4)
• E′=(−7,5)
• F′=(−5,7)

200

Quadrilateral ABCD has vertices A(2, 1), B(3, 4), C(6, 3), and D(5, 1). Perform the following composition of isometries:

1. Rotate quadrilateral ABCD 90 degrees counterclockwise about the origin.
2. Then, reflect the resulting quadrilateral over the line y=xy = xy=x.

• A′(2,−1)
• B′(3,−4)
• C′(6,−3)
• D′(5,−1)

300

Find the coordinates of A" and B" after the following glide reflection: translated by <-3, 1>, then reflected over y=-2.

What is A"(-2, -8) and B"(-1, -5)?

400

Pentagon PQRST has vertices P(1, 3), Q(4, 6), R(6, 3), S(5, 1), and T(2, 1). Perform the following composition of isometries:

1. Translate pentagon PQRST by the vector ⟨2,−4⟩\langle 2, -4 \rangle⟨2,−4⟩.
2. Then, reflect the resulting pentagon over the x-axis.

• P′(3,1)
• Q′(6,−2)
• R′(8,1)
• S′(7,3)
• T′(4,3)

500

Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: translate (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.

What is B"(0, -11)?