CHAPTER 6 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

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.

Tags

CCSS.HSG.CO.C.10

Front

Define a median in the context of a triangle.

Back

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

Front

What is the formula to find the length of a side in a triangle given two sides?

Back

If a triangle has sides a and b, the length of the third side c must satisfy: |a - b| < c < a + b.

Front

How do you identify the shortest side in a triangle?

Back

The shortest side of a triangle is the one opposite the smallest angle.

Front

What does it mean for lines to be concurrent?

Back

Lines are concurrent if they all intersect at a single point.

Tags

CCSS.HSG.CO.A.1

Front

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

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the significance of the medians in a triangle?

Back

Medians divide a triangle into two smaller triangles of equal area.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a side using the Pythagorean theorem?

Back

In a right triangle, the length of the hypotenuse c can be found using the formula: c² = a² + b², where a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Tags

CCSS.2.G.A.1