Geo Unit 5 Review

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 GE = 7, what is the length of BE?

Back

21

Front

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

Back

The longest side of a triangle is always opposite the largest angle.

Front

Can the sides of a triangle have lengths 3, 4, and 9?

Back

No, because the sum of the lengths of the two shorter sides (3 + 4 = 7) must be greater than the length of the longest side (9).

Front

What is the largest side in triangle BCD?

Back

Segment DB

Front

What is the largest angle in triangle PRQ?

Back

∠Q

Front

What is the Triangle Inequality Theorem?

Back

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 median in a triangle?

Back

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

Front

How do you find the length of a median in a triangle?

Back

The length of a median can be calculated using the formula: m = 1/2 * √(2a² + 2b² - c²), where a and b are the lengths of the sides adjacent to the median, and c is the length of the side opposite the median.

Front

What is the relationship between the angles in a triangle?

Back

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