Question

part c

select the correct answer from each drop-down menu.

quadrilateral abcd is choose an answer to quadrilateral pqrs because a horizontal translation of choose an answer and a vertical translation of choose an answer maps abcd onto pqrs.

Explanation:

Identify the geometric relationship

Using the Geometric Transformations knowledge point

$$ \text{ABCD is congruent to PQRS because rigid transformations preserve size and shape.} $$

Determine the horizontal translation

Using the Sequence of Transformations knowledge point

$$ \Delta x = x_{\text{target}} - x_{\text{source}} = -3 \text{ units} \quad (\text{translation of } 3 \text{ units left}) $$

Determine the vertical translation

Using the Sequence of Transformations knowledge point

$$ \Delta y = y_{\text{target}} - y_{\text{source}} = -5 \text{ units} \quad (\text{translation of } 5 \text{ units down}) $$

Answer:

Quadrilateral ABCD is <blank>congruent</blank> to quadrilateral PQRS because a horizontal translation of <blank>3 units left</blank> and a vertical translation of <blank>5 units down</blank> maps ABCD onto PQRS.