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andrew-mc [135]
3 years ago
14

Name the vertices of the image reflected in the x-axis

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0
1. If (x<span>, </span>y<span>) is reflected in the </span>x-axis, its image is the point (x, -y<span>). The </span>y<span>-coordinate is negated when reflecting in the </span>x-axis. The rule is (x<span>, </span>y) → (x, -y).
2. If (x<span>, </span>y<span>) is reflected in the </span>y-axis, its image is the point (-x<span>, </span>y<span>). The </span>x<span>-coordinate is negated when reflecting in the </span>y-axis. The rule is (x<span>, </span>y) → (-x<span>, </span>y).
3. If (x<span>, </span>y<span>) is reflected in the line </span>y<span> = </span>x, its image is (y<span>, </span>x<span>). The line </span>y<span> = </span>x<span> is a line with a slope of 1 and a </span>y<span>-intercept of 0. The </span>x<span>-coordinate and the </span>y<span>-coordinate are switched when reflecting in the line </span>y<span> = </span>x. The rule is (x<span>, </span>y) → (y<span>, </span>x<span>).</span>
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