Similar Figures

Complete the statements.

< H = ­­­­ ?? & GH = AB

DJ ??

• <B;DC

• <E;AE

• <E;DC

• <B;AE

Use the information in the diagram to determine the height of the tree to the nearest foot.

• 80ft

• 264ft

• 60ft

• 72ft

Which of the following statements is true about similar triangles?

• The measurements of corresponding angles differ between the two triangles.

• Two triangles are similar if their corresponding sides are proportional.

• If two triangles are similar, both their corresponding sides and angles are always congruent.

• Similar triangles differ in shape but are the same in size.

∆PSQ ~ ∆TRS. What is the length of TR?

• 5m

• 6m

• 12m

• 9m

∆ABC~∆XYZ. Which of the following is not a correct statement?

• AB\XY=BC\YZ

• BC\YZ = AC\XY

• CA\ZX =BA\YX

• AC\XZ = AB\XY

Triangle ABC is mapped onto triangle A’B’C’ by a dilation. How can this dilation be expressed as a function?

• (x,y) goes to (1/3x, 1/3y)

• (x,y) goes to (2/3x, 2/3y)

• (x,y) goes to (3/2x, 3/2y)

• (x,y) goes to (3x, 3y)

Compare figures ABCD and PQRS. Which statement explains why the figures are similar

or are not similar?

• The figures are not similar because they do not have corresponding angles that are congruent.

• The figures are not similar because they do not have corresponding sides that are proportional.

• The composition Ro,90 (Do,1/2) maps figure ABCD onto figure PQRS, showing they are similar.

• The composition Do,1/2 (Ro,270) maps figure ABCD onto figure PQRS, showing they are similar.

A land surveyor measured these lengths to find the distance, d, across a pond. What is d,

to the nearest tenth of a meter?

• 16m

• 19.2m

• 20.0m

• 28.8m

Which additional angle’s measure by itself could be used to conclude that ∆ KAG ~ ∆ DMG?

• <MGD

• <DKA

• <KDM

• <GAK

• <MAK

Triangle ABC with vertices at A(0, 3), B(4, 3), and C(4, 0) is transformed to triangle A’B’C’ with

vertices A’(0, 6), B’(8, 6), and C’(8, 0). What function represents this transformation? (4pts)

( x , y ) -> ( , )

• (3x,3y)

• (2x,2y)

• (3x,2y)

• (1x,1y)