Exploring Similarity and Congruence in Geometry

What does it mean for two shapes to be similar?

• They have different sizes and shapes.

• They have the same size and shape.

• They have the same size but different shapes.

• They have the same shape but different sizes.

Which of the following is true about congruent objects?

• They have different angles.

• They are always similar.

• They are always different in size.

• They have different shapes.

How can you determine if two isosceles triangles are similar?

• By checking if their corresponding angles are the same.

• By comparing their perimeters.

• By comparing their areas.

• By checking if their corresponding sides are equal.

What is the ratio of the sides of two similar isosceles triangles if one has sides of 15 cm and 10 cm, and the other has sides of 30 cm and 20 cm?

• 1:2

• 2:3

• 3:4

• 1:1

Which of the following is an example of congruent shapes?

• Two circles with different radii.

• Two equilateral triangles with sides of 90 meters each.

• Two rectangles with different side lengths.

• Two squares with different side lengths.

What is a rotation in geometry transformations?

• Turning a shape around an axis.

• Changing the size of a shape.

• Flipping a shape across an imaginary line.

• Sliding a shape across the plane.

What happens when you reflect a regular polygon?

• It becomes a different shape.

• It rotates around an axis.

• It looks the same as the original.

• It changes its size.

What is the purpose of translating a shape in geometry?

• To rotate it around an axis.

• To change its size.

• To move it around the plane without changing its orientation.

• To flip it across an imaginary line.

How can you determine if two rectangles are similar when they are spaced far apart?

• By checking their areas.

• By comparing their perimeters.

• By rotating and translating them to compare corresponding parts.

• By checking if their corresponding sides are equal.

What is the ratio of the long sides of two similar rectangles if one has long sides of 30 yards and the other has long sides of 40 yards?

• 1:2

• 4:5

• 3:4

• 2:3