Quarter-2 Independent Assignment #6 on Solving similar triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and AB = 10, AC = 15, and DE = 5, what is the length of DF?

Back

DF = (DE/AB) * AC = (5/10) * 15 = 7.5.

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of corresponding sides. If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF.

Front

What is the relationship between the areas of 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 the ratio of the sides of two similar triangles is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 2^2:3^2 = 4:9.

Front

What is a corresponding side in similar triangles?

Back

A side in one triangle that is proportional to a side in another triangle.

Front

If triangle XYZ is similar to triangle PQR, and XY = 8, YZ = 12, and PQ = 4, what is the length of QR?

Back

QR = (PQ/YZ) * XY = (4/12) * 8 = 2.67.