Proving Triangles Similar by Sides

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

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Decide whether the triangles are similar. If so, write a similarity statement.

• ΔABC ~ ΔFED

• ΔABC ~ ΔDEF

• ΔABC ~ ΔDFE

• The triangles are not similar.

Are these two triangles similar and if so, identify the correct similarity statement.

• AA~

• SSS~

• SAS~

• None of these

Determine if the triangles are similar. If so, state the similarity postulate or theorem.

• AA~

• SSS~

• SAS~

• The triangles are not similar.

How are these two triangles similar? Solve for y.

• AA~, 32

• AA~, 9.6

• SAS~, 9.6

• SAS~, 4

• SAS~, 96

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• NOT SIMILAR

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10
• 12
• 15
• 18