Geometry Midterm Review

Front

What is an angle bisector?

Back

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

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated as M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What are the properties of an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length and the angles opposite those sides are equal.

Front

How do you determine if a triangle is scalene?

Back

A scalene triangle has all sides of different lengths and all angles of different measures.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

How do you calculate the measure of an angle in a triangle if you know the other two angles?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

How do you construct an angle bisector using a compass and straightedge?

Back

1. Draw the angle. 2. Place the compass point on the vertex and draw an arc that intersects both rays. 3. Mark the intersection points. 4. Draw arcs from these points and mark their intersection. 5. Draw a line from the vertex through this intersection.