Intro to Similarity warm up

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the definition of slope in a triangle?

Back

The slope of a triangle is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points.

Front

If two triangles have the same slope, what can be said about their angles?

Back

If two triangles have the same slope, their corresponding angles are equal, indicating that they are similar triangles.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size, while congruent triangles are identical in both shape and size.

Front

What does SSA stand for, and why is it not a valid congruence postulate?

Back

SSA stands for Side-Side-Angle. It is not a valid postulate for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

How do you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using the SAS postulate, check if two sides of one triangle are equal to two sides of another triangle and if the included angle between those sides is also equal.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is significant because it ensures that the triangles are not only the same size but also the same shape, confirming congruence.