Illustrative Mathematics - Geometry - Unit 3 - Lesson 8 - Formative Library | Library

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Which statement provides a valid justification for why all circles are similar?

All circles have the same shape—a circle—so they must be similar.

All circles have no angles and no sides, so they must be similar.

I can translate any circle exactly onto another, so they must be similar.

I can translate the center of any circle to the center of another, and then dilate from that center by an appropriate scale factor, so they must be similar.

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Which pair of polygons is similar?

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Select all sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.

Dilate triangle ABC using center A by a scale factor of \frac{1}{2}, then reflect over line AC.

Dilate triangle AED using center A by a scale factor of 2, then reflect over line AC.

Reflect triangle ABC over line AC, then dilate using center A by a scale factor of \frac{1}{2}.

Reflect triangle AED over line AC, then dilate using center A by a scale factor of 2.

Translate triangle AED by directed line segment DC, then dilate using center C by scale factor 2.

Translate either triangle ABC or AED by directed line segment DC, then reflect over line AC.

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Find a sequence of rigid transformations and dilations that takes square EFGH to square ABCD.

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Select all true statements.

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This lesson is from Illustrative Mathematics. Geometry, Unit 3, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/3/8/index.html ; accessed 29/July/2021.

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