Unit 5 Review: Relationships in Trianlges

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. It is equidistant from all three vertices of the triangle.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If AC=42, what is DF if the ratio of AC to DF is 2:1?

Back

DF = 21

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Front

What is the Centroid of a triangle?

Back

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

Front

Can a triangle be constructed with sides 9, 16, and 8?

Back

Yes, because the sum of the lengths of any two sides is greater than the length of the third side.

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

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

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.

Front

What is the formula for finding the range of possible values of x in a triangle?

Back

The range of possible values of x can be determined using the Triangle Inequality Theorem.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.