Exploring Similar Polygons and Scale Factors

What does it mean for two polygons to be similar?

• None of the above.

• All sides are the same, but angles are different.

• All angles are the same, but sides are proportional.

• All sides and angles are the same.

In similar triangles, if angle A is congruent to angle D, which other angles are congruent?

• Angle C is congruent to angle F.

• Angle B is congruent to angle F.

• Angle B is congruent to angle E.

• Angle C is congruent to angle E.

When setting up proportions for similar triangles, what is important to remember?

• The order of the sides does not matter.

• The sides from the same triangle should be in the same position (numerator or denominator).

• The sides should be added together.

• Only the angles need to be considered.

If side AC is 21 and side DF is X, and side CB is 27 and side FE is 18, what is the value of X?

• 14

• 18

• 21

• 27

What is the first step in solving for an unknown side using proportions?

• Subtract the sides.

• Add the sides together.

• Set up a proportion with known sides.

• Multiply the sides.

In the equation 20(y + 4) = 12 * 15, what is the value of y?

• 7

• 6

• 5

• 4

If 2x * 15 = 30x, what is the value of x?

• 8

• 6

• 10

• 4

What does it mean when angles are congruent in similar polygons?

• The angles are supplementary.

• The angles are different.

• The angles are equal.

• The angles are proportional.

If angle G is congruent to angle L and angle G is 87 degrees, what is the value of X if X - 4 = 87?

• 83

• 87

• 91

• 95

What is a scale factor in similar polygons?

• The ratio of the angles.

• The ratio of one side to the corresponding side in another polygon.

• The difference between the sides.

• The sum of the sides.