Similar Triangles and Proportionality

Find the value of x.

• 12

• 4√2

• √32

• 16

What if the value of x?

• 16

• 12

• 4

• 64

Find the value of x.

• 15√5

• 5√5

• 5√3

• 3√5

Based on the drawing, which of the following statements is true?

• The triangles are similar because the lengths of the sides are congruent.

• The triangles are not similar because the corresponding angles are not congruent.

• The triangles are similar because the corresponding angles are congruent.

• Can not determine if the triangles are similar because the scale factor is unknown.

Which conditions must be met for two triangles to be similar?

• Corresponding angles are congruent, and corresponding sides are proportional.

• Corresponding angles are congruent, and corresponding sides are congruent.

• Corresponding angles are unequal, and corresponding sides are proportional.

• Corresponding angles are proportional, and corresponding sides are congruent.

These triangles are similar. They are not drawn to scale. What is the length of segment VW?

• 2

• 3

• 4

• 7

Figure Y is a dilation of Figure X.Which number best represents the scale factor used to change Figure X into Figure Y?

• 0.25

• 1.5

• 4

• 4.5

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar