GEOMETRY CA2 REVIEW

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Given lengths 1 inch, 2 inches, and 3 inches, can they form a triangle?

Back

No, because 1 + 2 is not greater than 3.

Front

Given lengths 10 inches, 7 inches, and 4 inches, can they form a triangle?

Back

Yes, because 10 + 7 > 4, 10 + 4 > 7, and 7 + 4 > 10.

Front

What is a parallel line?

Back

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

Front

If line k has a slope of 1, what is the slope of a line parallel to it?

Back

The slope of a line parallel to line k is also 1.

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 is a translation in geometry?

Back

A translation is a type of transformation that slides a shape in a straight line from one position to another without rotating or flipping it.

Front

What does the notation (x, y) → (x + 3, y - 2) represent?

Back

It represents a translation of a point 3 units to the right and 2 units down.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips a shape over a line.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is given by m = (y2 - y1) / (x2 - x1).