Geometry Fall Final Review

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What are the coordinates of a point after a 180-degree rotation around the origin?

Back

If the original point is (x, y), the new coordinates after rotation are (-x, -y).

Front

How do you find the value of x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What does RM represent in geometry?

Back

RM typically represents the length of segment RM, which can be calculated using the distance formula.

Front

What are the coordinates of a point after reflection over the line y = x?

Back

If the original point is (x, y), the new coordinates after reflection are (y, x).

Front

What is the formula for the area of a triangle given its vertices A(x1, y1), B(x2, y2), C(x3, y3)?

Back

Area = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the definition of 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 difference between rotation and reflection in geometry?

Back

Rotation turns a figure around a point, while reflection flips it over a line.