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Unit 6B Level 3/4 Assessment

Last updated over 5 years ago

10 Nsɛmmisa

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1.

Explain, in one complete sentence, whether the two triangles below are similar.

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2.

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3.

What is the measure of angle 3 given the information below?

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4.

What is the measure of angle 2 given the following information? (Hint: look back at your answer to question 3 to help you out!)

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5.

What series of transformations would be used to start at triangle ABC and end at triangle A"B"C"?

Reflect across the X-axis, dilate by scale factor of 2, translate (x+2, y+1)

Reflect across the Y-axis, dilate by scale factor of ½, translate (x-1, y-2)

Reflect across the Y-axis, dilate by scale factor of 2

Reflect across the Y-axis, dilate by scale factor of 2, translate (x+1, y+2)

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6.

A series of transformations was performed where Triangle ABC was transformed into Triangle DEF. Are the two triangles below similar? How do you know? Choose the best answer below.

Yes, the triangles are similar because the side lengths are all the same length.

Yes, the triangles are similar because the side lengths are proportional and have the same scale factor.

No, the triangles are different sizes and to be similar, the triangles have to be the same size and shape.

No, the triangles are not similar because you do not know the angle measurements.

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7.

What is the scale factor that maps triangle ABC to triangle DEF? Just write the number as your answer.

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8.

Explain, in one complete sentence, why the two trapezoids below are similar.

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9.

The two trapezoids below are similar. If you know that the measure of C'D' is 6.5 inches, what would be the measure of CD? Be sure to show your work! (Hint: use the scale factor)

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10.

The figure below shows that lines RS and UV are parallel. The lines are intersected by two transversals. All lines are in the same plane. Explain why triangle RTS is similar to triangle VTU.