7.5A & 7.5C Proportionality & Similar Figures Knowledge Check

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. Their corresponding angles are equal, and their corresponding sides are proportional.

• They are identical in every way.

• Their corresponding angles are different, and their sides are not proportional.

How do you find the actual distance using a map scale?

• Multiply the distance on the map by the scale factor.

• Add the distance on the map to the scale factor.

• Divide the distance on the map by the scale factor.

• Subtract the scale factor from the distance on the map.

What is the importance of understanding scale in real-life applications?

• It helps in accurately interpreting maps, blueprints, and models, allowing for proper planning and execution of projects.

• It is only relevant for theoretical mathematics and has no practical applications.

• It simplifies complex data into smaller, more manageable pieces without any real-world relevance.

• It is primarily used in art and design to create visually appealing works.

If a scale drawing has a scale of 1 in = 6 ft, how many feet does 2 inches represent?

• 10 feet

• 12 feet

• 14 feet

• 8 feet

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 shows only 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 dimensions.

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)

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 determine the unknown lengths.

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

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.

If two similar figures have a scale factor of 3:5, what does this mean for their areas?

• The ratio of their areas will be 3:5.

• The ratio of their areas will be 9:25.

• The ratio of their areas will be 5:3.

• The ratio of their areas will be 15:25.

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.