12.1-12.2 Review

NOTE: This review will be slightly shorter than the physical Chapter 12 Review provided in class.

1

An isometry preserves what two elements of a figure?

1

Which of the following is NOT an isometry?

Reflection

Rotation

Dilation

Translation

1

A glide reflection consists of which two of the following transformations?

Reflection

Rotation

Dilation

Translation

Use the following information for the next 4 questions:

Using the rule (x, y) --> (x + 3, y - 2), find the image of the following points.

1

(6, 0)

1

(-1, 2)

1

(-4, -4)

1

(1, 5)

Use the following information for the next 4 questions:

Using the rule (x, y) --> (x - 1, y + 5), find the image of the following points.

1

(0, 6)

1

(-4, 7)

1

(4, 0)

1

(11, 2)

Use the following information for the next 4 questions:

Using the rule (x, y) --> (x, y + 4), find the image of the following points.

1

(-1, 3)

1

(-4, 2)

1

(5, 9)

1

(6, -6)

For #16-19, the graph of \triangle{XYZ} is given.

Use the translation (x, y) --> (x + 3, y + 4) to find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

null

1

Find X'

1

Find Y'

1

Find Z'

1

For #20-23, the graph of \triangle{XYZ} is given.

Use the translation (x, y) --> (x - 4, y - 9) to find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

null

1

Find X'

1

Find Y'

1

Find Z'

1

For #24-27, the graph of \triangle{XYZ} is given.

Use the translation (x, y) --> (x + 8, y + 8) to find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

null

1

Find X'

1

Find Y'

1

Find Z'

1

For #28-31, the translation (x, y) --> (x + 2, y - 3) was used to form \triangle{L'M'N'}.

Find the coordinates of the original \triangle{LMN}, and then graph it.

null

1

Find L

1

Find M

1

Find N

1

Use the following information for the next 3 questions:

Find the component form of the vector that describes the translation from point P to Point P'. Use <x,y>

1

P(-3, 6) and P'(0, 1)

1

P(-7, 0) and P'(-2, 0)

1

P(4, 4) and P'(5, 9)

1

Using the point P'(4, 5), find the component form of the vector that describes the translation from point P(1, 3). Use <x,y>

1

Use the graph of \triangle{ABC} and \triangle{A'B'C'} to write the translation in vector form.

For #37-40, reflect the figure over the x-axis.

Find the coordinates of D', E', and D', and then draw \triangle{D'E'F'}.

null

1

Find D'

1

Find E'

1

Find F'

1

For #41-44, reflect the figure over the y-axis.

Find the coordinates of D', E', and D', and then draw \triangle{D'E'F'}.

null

1

Find D'

1

Find E'

1

Find F'

1

For #45-48, reflect the figure over the line y = x.

Find the coordinates of R', S', and T', and then draw \triangle{R'S'T'}.

null

1

Find R'

1

Find S'

1

Find T'

1

For #49-52, reflect the figure over the line y = 2.

Find the coordinates of R', S', and T', and then draw \triangle{R'S'T'}.

null

1

Find R'

1

Find S'

1

Find T'

1

12.1-12.2 Review

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

A glide reflection consists of which two of the following transformations?

(6, 0)

(-1, 2)

(-4, -4)

(1, 5)

(0, 6)

(-4, 7)

(4, 0)

(11, 2)

(-1, 3)

(-4, 2)

(5, 9)

(6, -6)

Find X'

Find Y'

Find Z'

Find X'

Find Y'

Find Z'

Find X'

Find Y'

Find Z'

Find L

Find M

Find N

P(-3, 6) and P'(0, 1)

P(-7, 0) and P'(-2, 0)

P(4, 4) and P'(5, 9)

Using the point P'(4, 5), find the component form of the vector that describes the translation from point P(1, 3). Use <x,y>

Use the graph of \triangle{ABC} and \triangle{A'B'C'} to write the translation in vector form.

Find D'

Find E'

Find F'

Find D'

Find E'

Find F'

Find R'

Find S'

Find T'

Find R'

Find S'

Find T'

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

A glide reflection consists of which two of the following transformations?

(6, 0)

(-1, 2)

(-4, -4)

(1, 5)

(0, 6)

(-4, 7)

(4, 0)

(11, 2)

(-1, 3)

(-4, 2)

(5, 9)

(6, -6)

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find L

Find M

Find N

Graph \triangle{LMN}

P(-3, 6) and P'(0, 1)

P(-7, 0) and P'(-2, 0)

P(4, 4) and P'(5, 9)