Practice Examination - 1st Semester Geometry

Front

What is the formula for the area of a composite shape?

Back

The area of a composite shape can be found by dividing the shape into simpler shapes (like rectangles, triangles, etc.), calculating the area of each, and then summing them up.

Front

Define the SAS Triangle Congruence Theorem.

Back

The SAS (Side-Angle-Side) Triangle Congruence Theorem 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 two triangles are congruent.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you determine if a statement is a conditional statement?

Back

A conditional statement is an if-then statement that consists of a hypothesis (if part) and a conclusion (then part).

Front

What are the coordinates of point T in a right triangle with vertices Y(0,0) and E(8,8)?

Back

Point T can be any point that forms a right angle with Y and E. Possible coordinates include T(0,8) which is directly above Y.

Front

What is the area of a square with side length s?

Back

The area A of a square is given by the formula A = s^2.

Front

Explain how to find the area of a triangle given its base and height.

Back

The area A of a triangle can be calculated using the formula A = (1/2) * base * height.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

What is the significance of the coordinates in geometry?

Back

Coordinates represent points in a plane, allowing for the precise location of geometric figures and the calculation of distances and slopes.

Front

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

Back

The distance d is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).