Geometry Final Exam 23-24 Paper 1

Front

What is the condition for two lines to be parallel?

Back

Two lines are parallel if they have the same slope or if the corresponding angles formed by a transversal are equal.

Front

How do you find the midpoint of a line segment between two points A(x1, y1) and B(x2, y2)?

Back

The midpoint M is given by the formula M = ( (x1 + x2)/2 , (y1 + y2)/2 ).

Front

What is the value of x if the angles are complementary and one angle is 75°?

Back

The other angle is 15°, since complementary angles sum to 90°.

Front

If RT = 36 and RT is divided into segments of equal length, how do you find the length of each segment?

Back

Divide the total length by the number of segments.

Front

What is the Pythagorean theorem?

Back

Front

What are the properties of parallel lines cut by a transversal?

Back

1. Corresponding angles are equal. 2. Alternate interior angles are equal. 3. Same-side interior angles are supplementary.

Front

How do you determine if a set of three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by the formula A = (1/2) * base * height.

Front

What is the distance formula between two points A(x1, y1) and B(x2, y2)?

Back

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.