5.1-5.3 Review

Front

What is the definition of the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides of the triangle.

Front

What is the definition of the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

What is the definition of the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it divides each median into a ratio of 2:1.

Front

What is the definition of the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the special property of the centroid in relation to the vertices of a triangle?

Back

The centroid is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

Front

How do you find the measure of an angle in a triangle if two angles are known?

Back

You can find the measure of the third angle by using the fact that the sum of the angles in a triangle is 180 degrees.

Front

If the angles of a triangle are 40 degrees and 100 degrees, what is the measure of the third angle?

Back

The third angle measures 40 degrees, since 180 - (40 + 100) = 40.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

Front

What is the relationship between the incenter and the incircle of a triangle?

Back

The incenter is the center of the incircle, which is the circle that is tangent to all three sides of the triangle.

Front

What is the formula for finding the area of a triangle using the base and height?

Back

The area of a triangle is given by the formula: Area = (1/2) * base * height.