Similar Triangles, Proportions

Determine if the two triangles are similar.  Explain the reasoning to your answer.  If they are, write a similarity statement. Pictures not drawn to scale.

• Yes, Similar. Triangle PAR ~ Triangle GOD

• Yes, Similar. Triangle DOG ~ Triangle RAP

• Yes, Similar. Triangle RAP ~ Triangle GOD

• No, not similar

Triangle RAP ~ Triangle DOG. What is the scale factor of RAP : DOG ?

• 6:1

• 18:7

• 1:6

• 16:3

Determine if the two triangles are similar.  Explain the reasoning to your answer.  If they are, write a similarity statement. Pictures not drawn to scale.

• No, not similar because the angles are not congruent

• Yes, Similar. Triangle LUC ~ Triangle KYC

• Yes, Similar. Triangle CUL ~ Triangle YKC

• No, not similar because the sides are not congruent.

Given that the two triangles are similar, solve for each missing variable.  Be sure to show all of your work.  (Pictures not drawn to scale)

• x = 10.45 ft

  y = 19.38 ft

• x = 19.38 ft

  y = 11.93 ft

• x = 213.2 ft

  y = 131.2 ft

• x = 9.65 ft

  y = 12.4 ft

Side TA and side​ ​ (a)   are corresponding (matching).

• MO

• AR

• TR

• OP

• MP

• TA

Given that the two triangles are similar, solve for each missing angles as notated by the variables.  (Pictures not drawn to scale)

Given that the two triangles are similar, solve for each side as notated by the variables.  (Pictures not drawn to scale)

• x = 52 yd

  y = 38 yd

• x = 25.5. yd

  y = 22.5 yd

• x = 38 yd

  y = 52 yd

• x = 22.5 yd

  y = 25.5 yd

Find the value of x. *Type your answer as just the number

Find the value of x. *Type your answer as just the number rounded to 2 decimal places

Find the value of x. *Hint: You must compare the whole side length of the big triangle to the whole side length of the small triangle.

• x = 10

• x = 8

• x = 12

• x = 2.67