Triangle Proportions

Front

What is a triangle midsegment?

Back

A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle. It is parallel to the third side and its length is half the length of that side.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem (3^2 + 4^2 = 5^2).

Front

What is the relationship between the lengths of the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

How do you find the length of a midsegment in a triangle?

Back

The length of a midsegment is equal to half the length of the side it is parallel to.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is a median in a triangle?

Back

A median of a triangle is a line segment that connects a vertex to the midpoint of the opposite side.