Lesson 07: Similar Polygons | Unit 2: Dilations, Similarity, and Introducing Slope

Multiple Choice

Triangle $$DEF$$ is a dilation of triangle $$ABC$$ with scale factor 2. In triangle $$ABC$$ , the largest angle measures $$82^\circ$$ . What does the largest angle measure in triangle $$DEF$$ ?

• $$41^\circ$$

• $$82^\circ$$

• $$98^\circ$$

• $$164^\circ$$

Draw

Draw 2 polygons that are similar but could be mistaken for not being similar. Provide an image of your drawing.

Open Ended

Explain why the polygons you drew are similar.

Draw

Draw 2 polygons that are not similar but could be mistaken for being similar.

Open Ended

Explain why the polygons you drew are not similar.

Multiple Choice

These 2 triangles are similar. Find side length $$a$$ . Note: the 2 figures are not drawn to scale.

• 15/7
• 10
• 12
• 20

Multiple Choice

These 2 triangles are similar. Find side length b. Note: the 2 figures are not drawn to scale.

• 7.5
• 4.2
• 6.8
• 5.4

Multiple Select

A rectangle has dimensions 6 units by 4 units and is similar to quadrilateral $$ABCD$$ . Select **all** statements that are true.

• The measure of angle $$ABC$$ is 90 $$^\circ$$ .

• Quadrilateral $$ABCD$$ is a rectangle.

• The length of side $$AB$$ is the same as the length of side $$BC$$ .

• If the length of side $$AB$$ is 9 units, then the length of side $$BC$$ is 7 units.

• The length of the shortest side of quadrilateral $$ABCD$$ is $$\frac23$$ the length of the longest side.

Multiple Choice

Here is triangle $$ABC$$ . Triangle $$DEF$$ is similar to triangle $$ABC$$ , and the length of $$EF$$ is 5 cm. What are the lengths of sides $$DE$$ and $$DF$$ , in centimeters?

• DE = 5 cm, DF = 5 cm
• DE = 2 cm, DF = 6 cm
• DE = 3 cm, DF = 4 cm
• DE = 4 cm, DF = 3 cm

Multiple Choice

The two triangles are similar. Find $$x$$ .

• 30°
• 90°
• 120°
• 60°