geometry semester 1 final exam 2023

Front

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

Back

Front

What does the acronym AAS stand for in triangle congruence theorems?

Back

AAS stands for Angle-Angle-Side, which is a theorem used to prove that two triangles are congruent.

Front

What is the SAS triangle congruence theorem?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

How do you find the measure of an angle when given the measures of the other angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees. To find the measure of an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and half its length.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until x is by itself.

Front

What is the formula for the area of a triangle?

Back

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the difference between acute, obtuse, and right angles?

Back

An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, and an obtuse angle is greater than 90 degrees but less than 180 degrees.