If the line segment point is D(-5, 10) and E(a,b) and the midpoint of the segment is F(13, -2) that mean
DE= 2*DF
You can directly find the distance of AC
Xdf= Xf-Xd= 13 - (-5)= 18
Ydf= Yf - Yd= -2 - 10= -12
Then add the distance of AB( which is 2*AC) to point D
Xe= a = Xd + 2*Xdf
a= -5 +2*18= 31
Ye= b = Yd + 2Yf
b= 10+ 2*-12= -14
<span>absolute difference between a and b:
|b-a|= </span>|-14-31|= 45
Answer: 1,2,3, and 5
Step-by-step explanation:
The isometries that preserve a shapes angles and line segments making the pre image congruent to the (post) image are :
Reflections, rotations, translations
These are rigid transformations. Think of your ruler. If you flip it, slide it, or rotate it around, did the ruler change shape? No. Just positions.
If you dilate something, you are either making it larger or smaller, therefore changing the size of the shape.
Anything that has dilation in its transformation does not have congruent shapes.
Answer:
Step-by-step explanation:
-8s-28>4
-8s-28+28>4+28
-8s>32 we divide by 8
-s>4 we multiply by -1 and we will change the sign because of this
s<-4
Answer:
9. x=-6, y=0
10. x=-9, y=-10
11. x=3, y=-1
Step-by-step explanation:
Multiply the first equation by 2.
Add the equations.
We figured out x now we have to figure out y. To figure out y plug in x into any equation.
Your answer is x = -6 and y = 0 for number nine.
Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.
Add them.
Now we have to figure out y.
x=-9 and y=-10 is your answer to number ten.
x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.
