Triangle Centers Test Review

Front

What is a median in a triangle?

Back

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

Front

If YC = 10 in triangle ΔXYZ, what is ZC?

Back

ZC = 10, because the median divides the opposite side into two equal segments.

Front

What is 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

How do you find the length of HD if H is the circumcenter?

Back

To find HD, you need to measure the distance from the circumcenter to vertex D.

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Front

Can a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, a triangle can be formed because the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the measure of angle X if the triangle is equilateral?

Back

In an equilateral triangle, each angle measures 60 degrees.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass.

Front

How do you calculate the area of a triangle using the base and height?

Back

Area = 1/2 * base * height.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.