7.5A & 7.5C Proportionality & Similar Figures Flash Cards

How can you use proportions to solve for unknown lengths in similar figures?

• You can set up a proportion using the lengths of corresponding sides to solve for unknown lengths.

• You can add the lengths of corresponding sides to find the unknown lengths.

• You can subtract the lengths of corresponding sides to find the unknown lengths.

• You can multiply the lengths of corresponding sides to find the unknown lengths.

If triangle RST is similar to triangle RVW and the length of side RS is 6 cm while RV is 12 cm, what is the ratio of their corresponding sides?

• 1:1 (6 cm : 6 cm)

• 1:2 (6 cm : 12 cm)

• 2:1 (12 cm : 6 cm)

• 3:1 (6 cm : 18 cm)

What is proportionality?

• Proportionality refers to the relationship between two quantities where their ratio remains constant.

• Proportionality is a mathematical term that describes the equality of two variables.

• Proportionality means that one quantity is always greater than another.

• Proportionality indicates that two quantities are unrelated.

If the length of one side of triangle ABC is 4 cm and the corresponding side of triangle DEF is 8 cm, what is the scale factor?

• 1:1 (4 cm : 4 cm)

• 1:2 (4 cm : 8 cm)

• 2:1 (8 cm : 4 cm)

• 1:3 (4 cm : 12 cm)

Define similar figures.

• Shapes that have the same shape and size.

• Shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

• Shapes that are completely different in size and angles.

• Shapes that are identical in every aspect.

What does it mean if two figures are similar?

• They have the same size and shape.

• They have the same shape but not necessarily the same size.

• They have different shapes and sizes.

• Their corresponding angles are unequal.

What is a scale drawing?

• A representation of an object or space that is proportionally reduced or enlarged, indicating the ratio of the drawing's dimensions to the actual dimensions.

• A drawing that only shows the outline of an object without any measurements.

• A type of drawing that uses colors to represent different dimensions.

• A drawing that is created without any reference to actual measurements.

How do you determine the scale of a drawing?

• By measuring the length of the drawing and comparing it to the actual length.

• By counting the number of lines in the drawing.

• By estimating the size based on the paper size.

• By looking at the color scheme used in the drawing.

What is a corresponding angle in similar figures?

• An angle that is equal in measure to another angle in a different figure.

• An angle that is in the same position in each figure.

• An angle that is supplementary to another angle in the same figure.

• An angle that is adjacent to another angle in the same figure.

What is the relationship between corresponding sides of similar triangles?

• The lengths of corresponding sides are equal.

• The ratios of the lengths of corresponding sides are equal.

• The corresponding sides are always in a 1:2 ratio.

• The corresponding sides can be of any length.