Solve for Unknowns in Geometry

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2)

Front

How do you find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane?

Back

Distance d = √((x2 - x1)² + (y2 - y1)²)

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, meaning their measures add up to 180°.

Front

If m∠1 + m∠2 = 180°, what can you conclude about ∠1 and ∠2?

Back

∠1 and ∠2 are supplementary angles.

Front

What is the measure of an angle if it is complementary to a 75° angle?

Back

The measure of the angle is 15° (90° - 75° = 15°).

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If two angles are vertical angles, what can you say about their measures?

Back

Vertical angles are equal in measure.

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) * base * height.

Front

How do you find the unknown angle in a triangle if you know the measures of the other two angles?

Back

Subtract the sum of the known angles from 180°.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.