Warmup 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

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

If two triangles are similar, how do you find a missing side length?

Back

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

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

If the sides of triangle XYZ are 3, 4, and 5, and triangle PQR is similar to triangle XYZ with a scale factor of 2, what are the lengths of the sides of triangle PQR?

Back

The sides of triangle PQR are 6, 8, and 10.

Front

What is a real-world application of similar triangles?

Back

Similar triangles can be used in architecture and engineering to create scale models.