You actually have most of the answers correct.
E is the origin
D is the x axis
A is the y axis
B is at coordinates (1, 3)
C is at coordinates (3, 1)
*remember you go across on the graph x axis and then up y axis.
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.
Answer:
4. D
A: -25.5=a
B: b=-4
C: c=12
D: d=8
Step-by-step explanation:
4.Between a and d they are the 2 bigger values but D was the greatest out of all of them. - divided by a - will result as a positive and 7/9=0.77 and 19/12 *I looked for the least common factor and multiplied numerator and denominator to 12 depending on the denominators value. Ex: since one of my denominators was 4, I multiply the whole fraction by 3 to get 9/12 and the other was 5/6 times 2 is 10/12 and just add 10/12 by 9/12 which is 19/12.
5.
A: All I did was multiply 8.5 and -3 and get -25.5=a.
B: I add 7 on both sides of the equation and -7 and 7 get canceled off and -11+7=-4. b=4.
C: I multiplied - to -3 and got 3, now I can subtract -3 on both sides. 15-3=12 so c=12.
D. I had to divide by 4 on both sides to get d by itself. 32/4=8 so final answer would be d=8.
B=5 units that is the answer