Question

1a: what is the location of p if the rectangle pqrs was reflected over the x - axis? 1b: using the original diagram of rectangle pqrs, what would be the location of r if it was rotated 90 degrees clockwise? 2 given abcd is a parallelogram. choose all the statements that are not true. diagonals are congruent in length diagonals bisect angles. opposite sides are congruent opposite angles are supplementary. opposite angles are congruent

Explanation:

1A:

Step1: Recall reflection rule over x - axis

The rule for reflecting a point $(x,y)$ over the $x$-axis is $(x,-y)$. Assume the coordinates of point $P$ are $(x,y)$.

1B:

Step1: Recall 90 - degree clockwise rotation rule

The rule for rotating a point $(x,y)$ 90 degrees clockwise about the origin is $(y, - x)$. Assume the coordinates of point $R$ are $(x,y)$.

2:

Step1: Recall parallelogram properties

• In a parallelogram, opposite sides are congruent and opposite angles are congruent.
• Diagonals of a parallelogram bisect each other, but are not congruent in length (except for rectangles which are special - case parallelograms), and diagonals do not bisect angles (except for rhombuses which are special - case parallelograms), and opposite angles are not supplementary (they are congruent).

Answer:

1A: If the coordinates of $P$ are $(x,y)$, the coordinates of $P'$ are $(x, - y)$.
1B: If the coordinates of $R$ are $(x,y)$, the coordinates of $R'$ are $(y,-x)$.
2: Diagonals are congruent in length; Diagonals bisect angles; Opposite angles are supplementary.