Quarter2 Independent Assignment #5 onSolving 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

How do you find the scale factor of similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of the two triangles.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 and 8 respectively, what is the scale factor?

Back

The scale factor is 1:2.

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

How do you solve for a missing length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown length.

Front

If triangle XYZ is similar to triangle PQR, and XY = 6, YZ = 9, and PQ = 12, what is the length of QR?

Back

QR = 18.

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 side lengths.

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, they are similar because the sides are in proportion (1:2).