Similarity of Polygons and Triangles and Proportion

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

The lengths of the sides of a triangle are 5, 12, and 13.  What is the length of the longest side of a similar triangle whose perimeter is 90?

• 13
• 15
• 36
• 39

Two triangles are similar.  The lengths of the sides of the smaller triangle are 3, 5, and 6, and the length of the longest side of the larger triangle is 18.  What is the perimeter of the larger triangle?

• 14
• 18
• 24
• 42

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.
• Yes, because two of the angles are congruent.
• No, because only one triangle has a right angle.
• Not enough information to determine.

Solve the proportion.

• k=5
• k=3.3333333
• k=60
• k=90

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Are the triangles are similar?

• yes
• no
• sometimes
• I don't know

DF/DE = JH/?

• DJ
• DC
• CB
• DE

ABCDE ∼ GHJDF. ∠E ≅

• ∠H
• ∠D
• ∠F
• ∠J