Similar Figures, Triangle Proportionality, and Midsegment

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

If a line divides any two sides of a triangle in the same ratio then the line is ----------- to the third side

• parallel

• perpendicular

• co-incides

• none of the above

Are the triangles similar?

Write down your work.

• Yes

• No

Which triangles are similar to triangle A?

• B

• C

• Both

• None

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

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

• 10

• 12

• 15

• 18

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, SSS

• Yes, SAS

• Yes, AA

• Not similar.

Find the missing length.

• 21

• 18

• 16

• 24