GEO Chapter 6 Test (version A)

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

Can a triangle have side lengths of 14, 18, and 32?

Back

No, because 14 + 18 = 32, which would make a flat line segment.

Front

How do you find the centroid of a triangle with vertices (x1, y1), (x2, y2), (x3, y3)?

Back

The centroid (G) can be found using the formula: G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

Front

What are the coordinates of the centroid for the triangle with vertices (2, 4), (10, 6), and (12, -10)?

Back

The coordinates of the centroid are (8, 0).

Front

What is the formula to find the length of a side in a triangle using the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

If JM = 46, what does this represent in a triangle?

Back

JM represents the length of one side of the triangle.

Front

What does m∠QRP < m∠SRP indicate about the angles?

Back

It indicates that the measure of angle QRP is less than the measure of angle SRP.

Front

What is the relationship between angles in a triangle?

Back

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

Front

How can you determine which angle is larger between ∠GHJ and ∠KLM?

Back

You can compare the measures of the angles or use the properties of triangles to determine their relationship.

Front

What does it mean if there is not enough information to decide which angle is larger?

Back

It means that the measures of the angles are not provided or cannot be inferred from the given information.