Geometry Concepts and Transformations

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

Define parallel lines.

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is the Pythagorean theorem?

Back

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

Front

What does it mean to translate a shape in geometry?

Back

To translate a shape means to move it in a straight line without rotating or flipping it.

Front

What is the distance formula?

Back

Distance = √((x2 - x1)² + (y2 - y1)²) between two points (x1, y1) and (x2, y2).

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

How do you find the height of a triangle?

Back

The height can be found using the formula: Height = (2 * Area) / base.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

What is the definition of a polygon?

Back

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

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.