Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
1 answer:
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
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Answer:
number one. 186 number two. 36
Step-by-step explanation:
FOR NUMBER ONE:
the area of a trapezoid formula is where a and b are the bases and h is the height. so we have to add in the numbers into the formula
= <em>81</em>
and the paralellogram formula is b×h. where b is the base and h is height
15 × 7 = <em>105</em>
so the area of the figure is 81 + 105 is 186 in^2
FOR NUMBER TWO:
the area of the square formula is . where s is the side
4^2 = <em>16</em>
and for the paralellogram is b × h
4 × 5 = <em>20</em>
so the area of the figure is 16 +20 = 36 in^2
hope this helps! ;)