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IM Geo.3.4 Practice: Dilating Lines and Angles

Angle is taken by a dilation with center and scale factor 3 to angle . The measure of angle  is . What is the measure of angle ?

Select all lines that could be the image of line  by a dilation.

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Dilate line with a scale factor of 2. The image is line . Which labeled point could be the center of this dilation?

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Quadrilateral is the image of quadrilateral after a dilation centered at . What is the scale factor of this dilation?

A polygon has a perimeter of 18 units. It is dilated with a scale factor of . What is the perimeter of its image?

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Solve the equation.

Here are some measurements for triangle ABC and triangle XYZ:

  • Angle  and angle  are both 30 degrees
  •  and  both measure 3 units
  •  and  both measure 2 units
Andre thinks these triangles must be congruent. Clare says she knows they might not be congruent. Construct 2 triangles with the given measurements that aren't congruent. Explain why triangles with 3 congruent parts aren't necessarily congruent.