Chapter 1 Review - Geometry

Front

What is the definition of an angle bisector?

Back

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

Front

Back

Front

What is the formula to find the midpoint of a line segment with endpoints A(x1, y1) and B(x2, y2)?

Back

The midpoint M is given by M = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2}).

Front

Given points S(-2, 4) and T(3, 9), find the midpoint of segment ST.

Back

The midpoint is M = (\frac{-2 + 3}{2}, \frac{4 + 9}{2}) = (\frac{1}{2}, \frac{13}{2}).

Front

What is the relationship between the lengths of segments created by a midpoint?

Back

The lengths of the segments created by a midpoint are equal.

Front

Back

Since M is the midpoint, AB = AM + MB = (\frac{3}{2}x + 4) + (3x - 2).

Front

What is the definition of a plane in geometry?

Back

A plane is a flat, two-dimensional surface that extends infinitely in all directions.

Front

How can a plane be named?

Back

A plane can be named using three non-collinear points or a single capital letter.

Front

What is the formula for the angle bisector theorem?

Back

The angle bisector theorem states that the ratio of the lengths of the two segments created by the bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Front

Back

Set the two angle measures equal to each other and solve for x.