In the diagram below, the horizontal lines are parallel. Find the value of x
2 answers:
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Answer:
5. (x, y) ⇒ (-x, y) — see attached for the diagram
6. (x, y) ⇒ (x+3, y+5)
7. dilation
Step-by-step explanation:
5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...
(x, y) ⇒ (-x, y)
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6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...
(x, y) ⇒ (x+h, y+k)
Your translation right 3 and up 5 will give the rule
(x, y) ⇒ (x+3, y+5)
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7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.
When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)
Answer:
<h2>Your answer is in picture.</h2><h3>Steps of construction: </h3>(i) Draw a line segment AB = 7 cm.
(ii) With A as centre and radius more than half of AB, draw arcs, one on each side of AB.
(iii) With B as centre and same radius as before, draw arcs, cutting the previously drawn arcs at X and Y respectively.
(iv) Now join XY, meeting AB at O.
Thus, XY is the perpendicular bisector of AB.
Step-by-step explanation:
Hope it is helpful....
