HGeom - Chapter 5 Test

Front

What is the Triangle Inequality Theorem?

Back

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

Front

Given two sides of a triangle measuring 7 ft and 13 ft, what is the range of possible lengths for the third side?

Back

The length of the third side must be more than 6 ft but less than 20 ft.

Front

What is a centroid in a triangle?

Back

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

Front

If AZ = 24 and X is the centroid, what is the length of AX?

Back

AX = 16.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

In triangle ABC, if AB ≅ DE, what can we assume about triangles ABC and DEF?

Back

We can assume that the triangles may be congruent, but we need more information to confirm.

Front

What is the definition of parallel segments in geometry?

Back

Parallel segments are line segments that are always the same distance apart and never meet, no matter how far they are extended.

Front

Identify the parallel segment in triangle ABC if AB is parallel to segment DE.

Back

The parallel segment is AB.

Front

What is an indirect proof in geometry?

Back

An indirect proof is a method of proving a statement by assuming the opposite is true and showing that this assumption leads to a contradiction.

Front

If

Back

If