Congruence, similarity and dilations flashcard review

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.

Front

When the scale factor of a dilation is less than one, the dilation is a reduction. True or False?

Back

True

Front

What does congruent mean? A) Same shape, different size B) Not same shape, or size C) Same size, same shape

Back

C) Same size, same shape

Front

If the triangles are similar, find x: (Provide a triangle similarity problem with x as an unknown)

Back

30

Front

Similar figures have the same ______ but different ______. A) measure; shapes B) sizes; shapes C) value; measures D) shape; sizes

Back

D) shape; sizes

Front

What is the definition of similarity in geometry?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If two triangles are similar, what can we say about their corresponding angles?

Back

Their corresponding angles are equal.