Question

question 1
a sequence of transformations maps rectangle abcd onto rectangle kpcv (not shown).
complete the sentence.
first, rectangle abcd is
select
reflected over the x - axis
reflected over the y - axis
rotated 180 degrees about the origin
(select)
and then
(select)

Explanation:

Step1: Analyze Reflection Over Axes

To determine the transformation, first check reflection over x - axis: A reflection over the x - axis changes \((x,y)\) to \((x, - y)\). For reflection over y - axis: changes \((x,y)\) to \((-x,y)\). Rotation 180° about origin changes \((x,y)\) to \((-x,-y)\).

Step2: Visualize the Figures

Looking at the two rectangles (ABCD and the other), the transformation from ABCD to the new rectangle (let's assume the process) - if we first reflect over y - axis (changes x - sign) and then maybe another transformation, but from the options, the first step's correct transformation (from the blue - highlighted option, but let's re - evaluate). Wait, the problem is about transforming ABCD. Let's assume the first transformation: reflecting over y - axis (since the position change matches reflection over y - axis in terms of x - coordinate sign change). Then maybe another. But from the given options, the first selected (blue) was rotation 180, but maybe correction. Wait, the key is to identify the correct transformation. Let's re - check: reflection over y - axis: a point \((x,y)\) becomes \((-x,y)\). If we look at the original rectangle ABCD and the other, the x - coordinates are negated (assuming ABCD is on positive x, and the other on negative x side for first part). So first transformation: reflected over the y - axis.

Answer:

reflected over the y - axis (for the first [Select] in the "First, transform ABCD by" part)