Fall Semester Geometry Review - Part 2

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 AG is 16 and G is the centroid, what is the length of GD?

Back

GD is 8. The centroid divides each median into a ratio of 2:1.

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself (e.g., a = a).

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle are equal.

Front

What is the Definition of Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the distance formula?

Back

The distance formula is used to find the distance between two points (x1, y1) and (x2, y2): d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the distance between (-4, 5) and (7, 18)?

Back

Using the distance formula: d = √((7 - (-4))² + (18 - 5)²) = √(11² + 13²) = √(121 + 169) = √290 = 17.03.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.