Illustrative Mathematics - Geometry - Unit 3 - Lesson 7 - Formative Library | Library

Sketch a figure that is similar to this figure. Label side and angle measures.

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Write 2 different sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.

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What is the definition of similarity?

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

Translate by the directed line segment AE, which will take B to a point B'. Then rotate with center E by angle B'EF. Finally, dilate with center E by scale factor \frac{5}{2}.

Translate by the directed line segment AE, which will take B to a point B'. Then rotate with center E by angle B'EF. Finally, dilate with center E  by scale factor \frac{2}{5}.

Dilate using center E  by scale factor \frac{2}{5}.

Dilate using center E  by scale factor \frac{5}{2}.

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Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. What is the perimeter of triangle ABC?

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Select the quadrilateral for which the diagonal is a line of symmetry.

parallelogram

square

trapezoid

isosceles trapezoid

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Triangles FAD and DCE are each translations of triangle ABC
Explain why angle CAD has the same measure as angle ACB.

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This lesson is from Illustrative Mathematics. Geometry, Unit 3, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/3/7/index.html ; accessed 29/July/2021.

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