Proportions in Triangles

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

Henry's sailboat has two sails that are similar triangles.  The larger sail has sides of 10 feet, 24 feet, and 26 feet.  If the shortest side of the smaller sail measures 6 feet, what is the perimeter of the smaller sail?

• 15
• 36
• 60
• 100

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 following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

All angles in similar figures are congruent.  

• True
• False

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

The pair of figures is similar. Find the missing side.

• x = 9
• x = 4
• x = 13
• x = 36

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63