DA #3 REDO 8.6C, 8.7CD

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What is the Pythagorean theorem?

Back

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 area of a square?

Back

Area = side², where 'side' is the length of one side of the square.

Front

What is the relationship between the areas of squares formed on the sides of a right triangle?

Back

The sum of the areas of the squares on the two shorter sides equals the area of the square on the hypotenuse.

Front

What is the definition of a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

How do you calculate the distance between two points on a coordinate plane?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the statement 8² + DC² = 17² in proving a rectangle?

Back

It shows that the sum of the squares of the lengths of the two shorter sides equals the square of the length of the hypotenuse, confirming it is a right triangle.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet.