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3 years ago

7

Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left

and 4 units up. Finally, he reflects the image over the line x = 1. Are the original and transformed images congruent? Justify your answer.

1 answer:

Morgarella [4.7K]3 years ago

8 0

yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image.

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jeyben [28]

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Options C and D are the correct options.

Step-by-step explanation:

Option A

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Option B

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By applying cosine rule in ΔFGH,

cos(G) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{15}{39}$

= 0.3846

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Option C

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By applying sine rule in ΔFGH,

sin(G) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

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Option D

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By applying tangent rule in ΔFGH,

tanG = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

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True

Therefore, Options C and D are the correct options.

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