Dilations Corresponding Sides

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

• Congruent
• Vertical
• Similar
• Complementary 

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.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes

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

• x = 12
• x = 3
• x = 40
• x = 4

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

Are the following similar? Why or why not?

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

Find side length X.

• 22.5
• 10
• 9
• 7.5

• A
• B
• C
• D

Which two triangles are similar?

• Triangles ABC and EFD
• Triangles ABC and GHI
• Triangles ABC and JKL
• Triangles EFD and JKL

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4.

• A(3,3), B(4,4), C(-3,-4)
• A(-4,8), B(6.5,8), C(7,7)
• A(0,0), B(32,0), C(12,-8)
• A(0,4), B(8,4), C(3,4)