Similar Shape

The blueprint(drawing) of this house has a length of 6 inches.  The actual house has a length of 18 feet.  What is the scale used?

• 1 inch: 3 feet

• 1 inch: 6 feet

• 3 inches: 6 feet

• 3 inches: 12 feet

Find side length X.

• 30

• 25

• 15

• 40

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

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Are these triangles similar?

• Yes

• No

A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?

• They are similar.

• They may or may not be similar, depending on the number of units translated.

• They may or may not be similar, depending on the number of degrees rotated.

• They are not similar.

ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 35. Find YZ. The figures are not drawn to scale. Label the figures.

• 17.5

• 210

• 7.8

• 70

The triangles are similar. Solve for x.

• 4

• 5

• 6

• 7

Are the two figures similar?

• yes

• no