Geometry: Semester 1 Final Review

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).

Front

Find the midpoint between G( -1, 2) and H( -3, -4).

Back

M = \left(-2, -1\right).

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Which of these lengths CANNOT represent the sides of a triangle: 3, 10, 8 or 2, 5, 8?

Back

2, 5, 8 cannot represent the sides of a triangle.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The new point after translation is (x + a, y + b).

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

The new point after reflection is (x, -y).

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The new point after rotation is (-y, x).

Front

What is the formula for the area of a triangle?

Back

The area A is given by A = \frac{1}{2} \times base \times height.