Grade 8 | Unit 2 | Lesson 5: More Dilations | Practice Problems

Quadrilateral \(ABCD\) is dilated with center \((0,0)\), taking \(B\) to \(B'\). Draw \(A'B'C'D'\).

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Triangles \(B\) and \(C\) have been built by dilating Triangle \(A\). Find the center of dilation.

• 3

• \(\frac 1 3\)

• \(\frac 2 3\)

Triangle \(B\) is a dilation of \(A\) with approximately what scale factor?

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Triangle \(A\) is a dilation of \(B\) with approximately what scale factor?

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Triangle \(B\) is a dilation of \(C\) with approximately what scale factor?

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Here is a triangle. Draw the dilation of triangle \(ABC\), with center \((0,0)\), and scale factor 2. Label this triangle \(A’B’C’\).

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Draw the dilation of triangle \(ABC\), with center \((0,0)\), and scale factor \(\frac{1}{2}\). Label this triangle \(A’’B’’C’’\).

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Is \(A’’B’’C’’\) a dilation of triangle \(A’B’C’\)? If yes, what are the center of dilation and the scale factor?

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Triangle \(DEF\) is a right triangle, and the measure of angle \(D\) is \(28^\circ\). What are the measures of the other two angles?

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