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Illustrative Mathematics - Geometry - Unit 3 - Lesson 4

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Last updated 2 months ago
7 Questions
1.

Angle ABC is taken by a dilation with center P and scale factor 3 to angle A'B'C'. The measure of angle ABC is 21o. What is the measure of angle A'B'C'?

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2.

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

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3.

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

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4.

Quadrilateral A'B'C'E' is the image of quadrilateral ABCE after a dilation centered at F. What is the scale factor of this dilation?

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5.

A polygon has a perimeter of 18 units. It is dilated with a scale factor of \frac{3}{2}. What is the perimeter of its image?

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6.

Solve the equation.
\frac{4}{7}=\frac{10}{x}

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7.

Here are some measurements for triangle ABC and triangle XYZ:
  • Angle CAB and angle ZXY are both 30 degrees
  • AC and XZ both measure 3 units
  • CB and ZY both measure 2 units
Andre thinks 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.

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This lesson is from Illustrative Mathematics. Geometry, Unit 3, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/3/4/index.html ; accessed 29/July/2021.

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