review for midyear geometry

Front

What is a proportion in geometry?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you perform a 180 degree rotation on a point (x, y)?

Back

To perform a 180 degree rotation, change the signs of both coordinates: (x, y) becomes (-x, -y).

Front

What does congruent mean in geometry?

Back

Congruent means having the same size and same shape.

Front

What is the result of rotating the point (7, 8) 90 degrees counterclockwise around the origin?

Back

The result is (-8, 7).

Front

If point A is at (3, 5), what are the coordinates of A' after a 180 degree rotation?

Back

The coordinates of A' would be (-3, -5).

Front

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

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a transformation in geometry?

Back

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

Front

What is the difference between rotation and reflection?

Back

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

Front

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

Back

The midpoint is found using the formula: ((x1 + x2)/2, (y1 + y2)/2).

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.