Geometry 1st Semester Review (through 5-1)

Front

What is the distance formula in geometry?

Back

The distance formula is used to determine the distance between two points (x1, y1) and (x2, y2) in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its coordinates become (x, -y).

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

When a point (x, y) is rotated 180° about the origin, its coordinates change to (-x, -y).

Front

Define a right angle.

Back

A right angle is an angle that measures exactly 90 degrees.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

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

Back

The midpoint M between two points is found using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the definition of a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.