Which glide reflection describes the mapping ΔABC → ΔDEF?

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Which glide reflection describes the mapping ΔABC → ΔDEF?

a. (x, y) → (x, y + 6) and reflected across y = 0

b. (x, y) → (x + 7, y) and reflected across x = 0

c. (x, y) →(x + 6, y + 1) and reflected across y = 0

d. (x, y) → (x + 6, y – 1) and reflected across x = 0

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What is the angle of rotation counterclockwise about the spinner’s center that maps label g to label B?

a. 144°

b. 216°

c.180°

d. 108°

May 7th, 2015

Triangle ABC has been translated by 6 units to the right and 1 unit down and then reflected over the x-axis.

A(-4, -5) ======> A(2, -6) ======> A(2, 6)                                  

B(-1, -1) ======> B(5, -2) ======> B(5, 2)

C(-1, -5) ======> C(5, -6) ======> C(5, 6)

ANSWER:  d. (x, y) → (x + 6, y – 1) and reflected across x = 0

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The circle is divided into 10 sections.

So measure of angle of each sector = 360°/10 = 36°

Mapping label g to label B requires crossing five sectors.

So, angle of rotation = 36°*5 = 180°

ANSWER:  c.  180° 

May 7th, 2015

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