Review for Finals 5: Isosceles Triangles; Similar Polygons

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the property of the angles in an isosceles triangle?

Back

The angles opposite the equal sides are congruent.

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

What is the scale factor in similar polygons?

Back

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

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.

Front

How do you find the scale factor between two similar polygons?

Back

Divide the length of a side of one polygon by the length of the corresponding side of the other polygon.

Front

What is the relationship between the angles of similar polygons?

Back

The corresponding angles of similar polygons are congruent.

Front

If the scale factor of two similar triangles is 3:4, what does this mean?

Back

It means that for every 3 units in one triangle, there are 4 units in the corresponding side of the other triangle.

Front

What is the formula for finding the area of similar polygons?

Back

The area ratio of two similar polygons is equal to the square of the scale factor.

Front

If the sides of an isosceles triangle are 5 cm and 5 cm, what is the length of the base if the triangle's height is 4 cm?

Back

Using the Pythagorean theorem, the base length is 6 cm.