Exploring Similar Figures and Proportions

What is a key characteristic of similar figures?

• They have equal corresponding angles and proportional corresponding sides.

• They have equal corresponding sides and proportional corresponding angles.

• They are always the same size and shape.

• They are the same size but different shapes.

Which of the following symbols indicates that two shapes are similar?

• ≈

• ∼

• ≅

• ∠

What are corresponding sides?

• Sides that are equal in length.

• Sides that are in the same position in similar polygons.

• Sides that form right angles.

• Sides that are parallel.

In the given triangles, which side corresponds to side AB?

• Side AC

• Side DF

• Side EF

• Side DE

If angle A in triangle ABC is 36 degrees, what is the measure of the corresponding angle in triangle DEF?

• 45 degrees

• 36 degrees

• 63 degrees

• 81 degrees

What does it mean for corresponding sides to be proportional?

• They are parallel.

• Their lengths form equal ratios.

• They form right angles.

• They have the same length.

If side AB is 5 and side DE is 10, what is the ratio of AB to DE?

• 1:2

• 2:1

• 1:1

• 5:10

How can you determine the measure of a missing angle in a similar triangle?

• By using the sine rule.

• By measuring it directly.

• By adding the measures of the other two angles and subtracting from 180 degrees.

• By using the Pythagorean theorem.

If side AB is 8 cm and side DE is 4 cm, what is the simplified ratio of AB to DE?

• 1:2

• 2:1

• 4:1

• 1:1

What is the value of X if 4/X = 2/1?

• 2

• 1

• 3

• 4