Similar Triangles

What are similar triangles?

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

• Triangles that have different shapes and sizes, with no equal angles.

• Triangles that are identical in size and shape, with all sides equal.

• Triangles that have one angle equal and the other two angles different.

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

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

• If the sides of one triangle are proportional to the sides of another triangle, then the triangles are similar.

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

• If the angles of one triangle are equal to the angles of another triangle, then the triangles are congruent.

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

• If the corresponding angles of two triangles are equal, then the triangles are similar.

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

• If the sum of the lengths of any two sides of a triangle is greater than the length of the third side, then the triangles are similar.

• If the corresponding sides of two triangles are equal, then the triangles are similar.

If two triangles are similar, how do their areas compare?

• The areas are equal.

• The ratio of their areas is the same as the ratio of their corresponding sides.

• The ratio of their areas is the square of the ratio of their corresponding sides.

• The areas are inversely proportional to the ratio of their corresponding sides.

What is the definition of proportionality in similar triangles?

• The corresponding angles of similar triangles are equal.

• The corresponding sides of similar triangles are proportional, meaning the ratios of their lengths are equal.

• The areas of similar triangles are equal regardless of their size.

• The corresponding sides of similar triangles are inversely proportional.

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

• 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.

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

• If the lengths of all three sides of one triangle are equal to the lengths of all three sides of another triangle, then the triangles are similar.

• If one side of a triangle is equal to one side of another triangle and the angles opposite to these sides are equal, then the triangles are similar.

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is a transversal?

• A line that intersects two or more lines at different points.

• A line that runs parallel to another line.

• A line that is perpendicular to a given line.

• A line that connects two points on a curve.

If the base of a triangle is 10 cm and the height is 5 cm, what is the area?

• 20 cm²

• 25 cm²

• 30 cm²

• 15 cm²

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

• 1:1

• 1:2

• 2:1

• 3:2