Geometry: Semester 1 Final

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. The shape remains the same size and orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the definition of a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Front

What is a trapezoid?

Back

A trapezoid is a type of quadrilateral that has at least one pair of parallel sides.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q'.

Front

How do you find the y-coordinate of the midpoint of a vertical line segment?

Back

For a vertical line segment with endpoints (x1, y1) and (x2, y2), the y-coordinate of the midpoint is (y1 + y2)/2.

Front

What is the rule for the arithmetic sequence 32, 36, 40, 44?

Back

The rule for this arithmetic sequence is to add 4 to the previous term.