Geometry Semester Exam Dec 2024

Front

What does it mean when we say \( \Delta ABC \sim \Delta ANM \)?

Back

It means that triangle ABC is similar to triangle ANM, indicating that their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a segment in geometry?

Back

A segment is a part of a line that is bounded by two distinct endpoints.

Front

Determine the slope and y-intercept from the equation: \( 2y = 3x + 6 \).

Back

Slope (m): \( \frac{3}{2} \), y-intercept (b): (0, 3).

Front

How do you find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint is given by the formula: \( \left( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} \right) \).

Front

Which pairs of angles are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position at each intersection where a straight line crosses two others.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as: \( m = \frac{y2 - y1}{x2 - x1} \).

Front

What is the definition of a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

How do you identify corresponding angles in parallel lines cut by a transversal?

Back

Corresponding angles are located in the same relative position at each intersection of the transversal with the parallel lines.

Front

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

Back

The distance is given by: \( d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \).

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.