iyanistacks50
15.12.2021 •
Mathematics
Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. Draw a line segment from point S to the reflecting line, and then draw a line segment from point S′ to the reflecting line. What do you notice about the two line segments you drew? Do you think you would notice the same characteristics if you drew the line segment connecting T with the reflecting line and then T′ with the reflecting line? How do you know?
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Ответ:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10