Unit 6 EUA Review: Coordinate Geometry

Front

What is the definition of congruent shapes?

Back

Congruent shapes are figures that have the same size and shape. They can be transformed into each other through rotations, translations, or reflections.

Front

What is the definition of similar shapes?

Back

Similar shapes are figures that have the same shape but may differ in size. They can be transformed into each other through dilation.

Front

What is a dilation in coordinate geometry?

Back

A dilation is a transformation that alters the size of a shape but not its shape, using a center point and a scale factor.

Front

What is the coordinate rule for a translation to the right by 4 units?

Back

The coordinate rule is (x, y) → (x + 4, y).

Front

What is the coordinate rule for a reflection across the x-axis?

Back

The coordinate rule is (x, y) → (x, -y).

Front

What is the focus of a parabola?

Back

The focus of a parabola is a fixed point located inside the curve, which helps define the shape of the parabola.

Front

What is the directrix of a parabola?

Back

The directrix of a parabola is a fixed line used in conjunction with the focus to define the parabola's shape.

Front

How do you determine if a point lies on a circle given its equation?

Back

Substitute the point's coordinates into the circle's equation. If the equation holds true, the point lies on the circle.

Front

What is the equation of a circle with center (h, k) and radius r?

Back

The equation is (x - h)² + (y - k)² = r².

Front

What is a horizontal stretch in coordinate geometry?

Back

A horizontal stretch is a transformation that alters the width of a shape by a scale factor, affecting the x-coordinates.