Similarity Applications

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm
• x = 24 cm
• x = 3 cm
• x = 16.5 cm

Determine which of the following statements are true regarding ΔABC and ΔFGH. Select the three that apply

• ΔABC ∼ ΔHGF

• ⁸⁴/₁₄ = ⁷²/₁₂ = ⁴⁸/₈

• ⁸⁴/₁₄ = ⁷²/₁₂ ≠ ⁴⁸/₈

• The triangles are similar by SSS

• The triangles are not similar

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity
• Yes, by SAS Similarity
• Yes, by SSS Similarity
• No, not similar

Are the triangles similar?

• Yes, by AA

• No

• Yes, by SAS

• Yes, by SSS

Solve for f.

• 6
• 4
• 3
• 8

Find side length X.

• 22.5
• 10
• 9
• 7.5

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA
• SAS
• SSS
• Not Similar

Determine which of the following statements are true regarding ΔFDE and ΔSUT. Select all that apply.

• ⁵²⁷/₁₁₄₇ = ³⁰⁶/₆₆₆ = ³⁵⁸/₇₇₇

• ⁵²⁷/₁₁₄₇ = ³⁰⁶/₆₆₆ ≠ ³⁵⁸/₇₇₇

• The triangles are similar by SSS

• The triangles are not similar

• ΔFDE ∼ ΔSUT

The ratios of the measures of three angles of a triangle are 4 : 6 : 8. Find the measures of the largest angle of the triangle.

• 8

• 80

• 10

• 144

Find x.

• 54/7
• 56/3
• 11
• 21/2