algebra 2

What defines a polygon?

It must be flat, closed, and have non-crossing line segments.

How does a convex polygon differ from a concave polygon?

In a convex polygon, a line between any two points remains inside; in a concave polygon, it can extend outside.

What characterizes a regular polygon?

All angles and side lengths are equal.

What is a right triangle?

It contains one angle that measures 90 degrees.

What distinguishes an acute triangle?

All three angles are less than 90 degrees.

What defines an obtuse triangle?

It has one angle greater than 90 degrees.

What is an isosceles triangle?

It has at least two sides of equal length.

What does equilateral mean in triangles?

All sides and angles are equal.

What is a scalene triangle?

All sides and angles are different.

What is a transversal in geometry?

A line that intersects two or more parallel lines.

What happens to angles when a transversal crosses parallel lines?

Corresponding angles are equal, and alternate interior angles are equal.

What is the sum of angles in any triangle?

The sum is always 180 degrees.

How do you find the measure of an unknown angle in a triangle?

Subtract the sum of known angles from 180 degrees.

What is the relationship between side lengths and angles in triangles?

Larger angles are opposite longer sides.

What does it mean for angles to be vertical?

They are opposite angles formed by two intersecting lines and are equal.

How do you solve for x in equivalent fractions?

Cross multiply and solve the resulting equation.