4.2 Reflections

4.2 Reflections

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"We do not learn from experience...we learn from reflecting on experience."

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-John Dewey

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Multiple Choice

True or False: When a point is reflected across a line of symmetry, it remains the same distance from that line.

• True

• False

Multiple Choice

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be? #15

• Q'(4, 2)

• Q'(-4, 2)

• Q'(-4, -2)

• Q'(4, -2)

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Multiple Choice

Level 1: What is this transformation?

(x, y) →(-x, y)

• Reflect over the x axis

• Reflect over the y-axis

• Slide down 1

• slide left 1

Multiple Choice

Triangle XYZ is reflected across the y-axis. If (x,y) are the coordinates of one of its vertices, which ordered pair represents the reflected vertex? #14

• (-x, y)

• (y, -x)

• (x, -y)

• (-y, x)

Multiple Choice

What changes when an ordered pair, or point, is reflected across the y-axis?

• Neither the x-value nor the y-value

• y-value only

• x-value only

• Both the x-value and the y-value

Multiple Choice

What is the Algebraic Notation for this Reflection? #6

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

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Multiple Choice

What is the rule for the reflection over the line y=x?

• r_y=x(x, y) → (–y, –x)

• r_y=–x(x, y) → (–y, –x)

• r_y=x(x, y) → (y, x)

• r_y=–x(x, y) → (y, x)

Multiple Choice

What are the coordinates of the image of vertex G after a reflection across the line y = x? #20

• (–4, –5)

• (4, 5)

• (–5, 4)

• (5, –4)

Multiple Choice

What are the coordinates of the image of vertex F after a reflection across the line y = –x? #19

• (–1, –3)

• (3, –1)

• (1, 3)

• (–3, 1)

Multiple Choice

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)? #21

• a reflection of the line segment across the x-axis

• a reflection of the line segment across the y-axis

• a reflection of the line segment across the line y = x

• a reflection of the line segment across the line y = –x

Multiple Choice

How many lines of symmetry does this shape have? #33

• 1

• 2

• 3

• 4

Multiple Choice

How many lines of symmetry does the butterfly have? #37

• 1

• 2

• 3

• 4

Multiple Choice

How many lines of symmetry does this trapezoid have? #40

• 0

• 1

• 2

• 3