Practice Examination - 1st Semester Geometry

Front

What is the equation of a line parallel to another line?

Back

The equation of a line parallel to another line has the same slope as that line. If the line has the equation y = mx + b, then a parallel line will also be of the form y = mx + c, where c is a different y-intercept.

Front

What is the measure of an angle in a triangle if the other two angles are known?

Back

The measure of an angle in a triangle can be found using the fact that the sum of the angles in a triangle is 180 degrees. If two angles are known, the third angle can be calculated as: Angle = 180° - (Angle1 + Angle2).

Front

How do you calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is a reflection across the x-axis?

Back

A reflection across the x-axis transforms a point (x, y) to (x, -y). This means the y-coordinate changes sign while the x-coordinate remains the same.

Front

What is the point of concurrency determined by the angle bisectors of a triangle?

Back

The point of concurrency determined by the three angle bisectors of a triangle is called the Incenter. It is the center of the circle inscribed within the triangle.

Front

What is the formula for the area of a square?

Back

The area (A) of a square is calculated using the formula: A = s^2, where s is the length of one side of the square.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes (m1 and m2) are equal: m1 = m2.

Front

What is the definition of a centroid in a triangle?

Back

The centroid of a triangle is the point where the three medians intersect. It is also the center of mass of the triangle.

Front

How do you find the midpoint of a line segment?

Back

The midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for the distance between two points?

Back

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