Triangle Similarity(intro)

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angles are equal.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Front

If two triangles have one angle of 60 degrees and the other two angles are equal, are they similar?

Back

Yes, they are similar by the AA criterion.

Front

How can you determine if two triangles are similar using the SSS criterion?

Back

You can determine similarity by checking if the ratios of the lengths of corresponding sides are equal.

Front

What is the relationship between the heights of similar triangles?

Back

The heights of similar triangles are proportional to the lengths of their corresponding sides.

Front

If Triangle A has sides of lengths 3, 4, and 5, and Triangle B has a side of length 6, what is the length of the corresponding side in Triangle B?

Back

The corresponding side in Triangle B is 8, as the triangles are similar (3:4:5 ratio).

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which helps establish their similarity.

Front

How do you find the missing length in similar triangles?

Back

Use the proportionality of corresponding sides to set up a ratio and solve for the missing length.