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Geo.3 Similarity

I can dilate a figure given a scale factor and center.

I can calculate the lengths of parts of a scaled drawing.

I know that when figures are dilated by a scale factor of $k$, all lengths in the figure are multiplied by $k$.

I can explain what happens to lines and angles in a dilation.

I can explain why the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

I can write similarity statements.
I know the definition of similarity.

I know the relationships between corresponding sides and angles in similar triangles.

I can critique proofs that use similarity.
I can write proofs using the definition of similarity.

I can explain why the Angle-Angle Triangle Similarity Theorem works.

I can explain why the Side-Angle-Side and Side-Side-Side Triangle Similarity Theorems work.

I can explain why a segment parallel to one side of a triangle divides the other sides proportionally.

I can find scale factors and use them to solve problems.

I can find similar triangles formed by the altitude to the hypotenuse in a right triangle.

I can prove the Pythagorean Theorem.

I can solve problems involving similar right triangles.

I can solve and interpret problems involving similar right triangles.