Similarity _ Quiz (4.2)

The triangles are similar. What is the similarity statement?

Hint: Pay attention to the corresponding angles and sides

• Δ JKL ~ Δ PML

• Δ JKL ~ Δ PLM

• Δ JKL ~ Δ LMP

If JKL ~ Δ PML find the value of x (length of side JK)

Hint: Find the corresponding sides and their ratios.....

• 18

• 8

• 2

• I do not know

If the two polygons are similar which is the similarity statement and the correct ratios of the corresponding sides?

• ACBD ~ NMPL; Ratios: 14/(x + 6) and 10/(x + 8)

• ABCD ~ NMLP; Ratios: 14/(x - 6) and 10/(x - 9)
• ABCD ~ NMLP; Ratios: 14/(x + 6) and 10/(x + 9)
• ABCD ~ PMNL; Ratios: 14/(x + 5) and 10/(x + 10)

The two polygons are similar. Set up the proportion of the corresponding sides and find the value of x.

• x = 1.5

• x = 4.5

• x = 3.0

Solve the proportion for x.

• 3
• 7
• 10
• 5

Identify the similar triangles, then find VS.

• Δ QVS ~ Δ RTS

  and

  VS = 15

• Δ QRS ~ Δ RTS

  and

  VS =25

• Δ QVS ~ Δ RTS

  and

  VS =20

• Δ QVS ~ Δ VTS

  and

  VS =30

Δ ABC ~ Δ DEF. Find x and y.

• x = 1, y = 0.5
• x = 3, y = 0.25
• x = 0, y = 1.5
• x = 2, y = 1

WXYZ ~ MNOP. Find x, y, and z.

Hint: Find the corresponding sides and use their ratios .....

• x = 30, y = 5, z = 150
• x = 15, y = 10, z = 125

• x = 20, y = 8, z = 125
• x = 25, y = 12, z = 130

Solve the proportion and find the value of x.

• 10/9
• 3/2
• 7/6
• 5/4

Are these two triangles similar? If yes justify why.

• Yes, the triangles are similar

  because of AA ~

• Yes, the triangles are similar

  because of SSS ~

• No, the triangles are not similar.
• Yes, the triangles are similar

  because of SAS ~