Mathematics, 01.12.2019 19:31 Neoncoolguy1

What does a reflection across y=x mean? will give brainliest to the person who best explains it.

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If you were to graph y=x it would look like if you took the x axis and rotated it 45 degrees counterclockwise with the center of rotation on the origin

basically, it switches x and y
a reflection is like a miror

a reflection across y=x in equation would be

y=3x^2+5x-2 reflected across the y=x axis (aka the identity line) would be
x=3y^2+5y-2

Answer from: angelinadhar

This means that if you graph the point and the line, you have to find a point that is on the other Side of the line that reflects the first point. The line y=x goes through the points (1,1)(2,2)(3,3)... And so forth. Also (-1,-1)(-2,-2) and so on. Draw this line on a coordinate plane. Then plot the point. With a y=x line the reflection must be (x,y) to (y,x). The points are switched. So (4,-2)'s image would be (-2,4). Plot that point. But since the problem does not specifically say graph, you don't have to.

Answer from: Quest

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:

the sage gardener knew when she had to water her plants.

question 8 options:

mint plant

wise

happy

lazy

Answer from: Quest

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

Use a paragraph, flow chart, or two-column proof to prove the angle congruency. given: ∠cxy ≅ ∠bxy

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