Geometry 5.1- 5.4 Flashcard

Front

What is a midsegment in a triangle?

Back

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

Front

If VW is a midsegment of triangle KIJ, what is the relationship between the lengths of VW and KI?

Back

The length of VW is half the length of KI.

Front

What is the centroid of a triangle?

Back

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

Front

If G is the centroid of triangle ABC and GF = 4, what is the length of GC?

Back

GC is twice the length of GF, so GC = 8.

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

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

Front

If AC = 42, what is the length of DF if DF is a midsegment?

Back

DF = 21, which is half of AC.

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The angles formed by two intersecting lines are called vertical angles, and they are equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².