Similar Triangles, Sides, Perimeters, Areas

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

Complete the similarity statement.
ABC ~ ___

• ZYX

• XZY

• YZX

• XYZ

2 triangles are similar if _____________.

• their angles are congruent.

• their sides are congruent.

• their areas are equal.

• their perimeters are equal.

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

Are these triangles similar?

• No

• Yes by SSS∼

• Yes by AA∼

• Yes by SAS∼

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC

What is the value of X and Y ?

• X=2.5 and Y=6.5

• X=6.5 and Y=2.5

• X=3 and Y=7

• X=2 and Y= 5

Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  60⁰,40⁰

• Yes

• No

• There is not enough information to decide.

The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?

• 53⁰,78⁰, and 49⁰

• There is not enough information to answer this question.

• 106⁰,156⁰, and 98⁰

• 26.5⁰,39⁰, and 24.5⁰

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar