Get Reflect The Quadrilaterals Answer Key

Congruent figures are the same size and shape. Answer: Congruent figures have the exact same size and shape. Even when reflected, rotated, or translated, their size and shape remain identical.

A rhombus is said to have reflection symmetry over both of its diagonals. The general properties of a parallelogram are as follows: Opposite angles are congruent or equal. The opposite sides are equal and parallel. Diagonals bisect each other.

Here is the general rule for reflection across the y-axis: Given an equation y = f ( x ) , the new reflection equation of the reflected graph will be y = f ( − x ) .

Are Reflections Congruence Transformations? A reflection is a congruence transformation because it maintains the original shape and size of the pre-image. A reflection is a figure flipped over a line of reflection.

Since reflection is a rigid transformation, we know that lengths are preserved. The legs are congruent. During this reflection, which also preserves angle measure, ∠A will map onto ∠B and ∠D will map onto ∠C, making the base angles congruent.

To answer this question, look at the coordinate points for Image A and Image B. Notice that all of the -coordinates have changed sign. Therefore Image A has reflected across the -axis. To write a rule for this reflection you would write: r x − a x i s ( x , y ) → ( x , − y ) .

Congruent Sides in Quadrilaterals Parallelogram: Opposite angles and pairs are congruent. Rectangle: Opposite sides are congruent along with the diagonals being equal. Square: All four sides are congruent. Rhombus: All four sides are congruent along with opposite angles being equal.

A quadrilateral is a four-sided polygon. Congruent figures are figures that have the exact same shape and size, meaning that the ratios comparing their corresponding sides are all the same.

To answer this question, look at the coordinate points for Image A and Image B. Notice that all of the y-coordinates have changed sign. Therefore Image A has reflected across the x-axis. To write a rule for this reflection you would write: rx−axis(x,y) → (x,−y).