Flashcards on Similarity and Congruency

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Define Similarity.

Similarity is the property of two figures in which they have the same shape but not necessarily the same size.

Define Congruency.

Congruency is the property of two figures in which they have the same shape and same size.

What is the symbol for congruence?

The symbol for congruence is ≅.

What is the difference between similarity and congruency?

Similarity means that two figures have the same shape, but not necessarily the same size, while congruence means that two figures have both the same shape and size.

What is the ratio of the corresponding sides of similar figures?

The ratio of the corresponding sides of similar figures is equal.

What is the ratio of the corresponding sides of congruent figures?

The ratio of the corresponding sides of congruent figures is 1:1.

What are the three criteria for proving two triangles are congruent?

The three criteria for proving two triangles are congruent are SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

What is the formula for determining if two triangles are similar?

The formula for determining if two triangles are similar is AA (Angle-Angle) or SSS (Side-Side-Side).

What does AA (Angle-Angle) mean?

AA (Angle-Angle) means that two triangles have two corresponding angles that are congruent.

What does SAS (Side-Angle-Side) mean?

SAS (Side-Angle-Side) means that two triangles have two corresponding sides that are proportional and the included angle between them is congruent.

What does ASA (Angle-Side-Angle) mean?

ASA (Angle-Side-Angle) means that two triangles have two corresponding angles that are congruent and the included side between them is proportional.

What is the formula for finding the length of a side of a similar figure given a scale factor?

The formula for finding the length of a side of a similar figure given a scale factor is: (length of corresponding side in original figure) x (scale factor) = (length of corresponding side in new figure).

What is the formula for finding the scale factor of two similar figures?

The formula for finding the scale factor of two similar figures is: (length of corresponding side in new figure) / (length of corresponding side in original figure).

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of the angles in a triangle is always 180 degrees.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Define Similarity.

Similarity is the property of two figures in which they have the same shape but not necessarily the same size.

Define Congruency.

Congruency is the property of two figures in which they have the same shape and same size.

What is the symbol for congruence?

The symbol for congruence is ≅.

What is the difference between similarity and congruency?

Similarity means that two figures have the same shape, but not necessarily the same size, while congruence means that two figures have both the same shape and size.

What is the ratio of the corresponding sides of similar figures?

The ratio of the corresponding sides of similar figures is equal.

What is the ratio of the corresponding sides of congruent figures?

The ratio of the corresponding sides of congruent figures is 1:1.

What are the three criteria for proving two triangles are congruent?

The three criteria for proving two triangles are congruent are SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

What is the formula for determining if two triangles are similar?

The formula for determining if two triangles are similar is AA (Angle-Angle) or SSS (Side-Side-Side).

What does AA (Angle-Angle) mean?

AA (Angle-Angle) means that two triangles have two corresponding angles that are congruent.

What does SAS (Side-Angle-Side) mean?

SAS (Side-Angle-Side) means that two triangles have two corresponding sides that are proportional and the included angle between them is congruent.

What does ASA (Angle-Side-Angle) mean?

ASA (Angle-Side-Angle) means that two triangles have two corresponding angles that are congruent and the included side between them is proportional.

What is the formula for finding the length of a side of a similar figure given a scale factor?

The formula for finding the length of a side of a similar figure given a scale factor is: (length of corresponding side in original figure) x (scale factor) = (length of corresponding side in new figure).

What is the formula for finding the scale factor of two similar figures?

The formula for finding the scale factor of two similar figures is: (length of corresponding side in new figure) / (length of corresponding side in original figure).

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of the angles in a triangle is always 180 degrees.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

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