HW 7.3 - Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity means that two triangles have the same shape but may have different sizes. 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. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are in proportion to two sides of another triangle, and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

How can you determine if two triangles are similar using proportions?

Back

You can determine if two triangles are similar by comparing the ratios of their corresponding sides. If the ratios are equal, the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, what can you say about their angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of triangle GHI are 4, 6, and 8, and the sides of triangle JKL are 2, 3, and 4, are the triangles similar?

Back

Yes, triangle GHI and triangle JKL are similar because the sides are in proportion (4:2, 6:3, 8:4).

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle MNO is similar to triangle PQR and the length of side MN is 5 and side PQ is 10, what is the ratio of their sides?

Back

The ratio of their sides is 5:10 or 1:2.

Front

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

Back

In SAS similarity, the included angle must be equal for the triangles to be considered similar.