Answer with explanation:
There are four kind of Rigid transformation that can take place in a two dimensional or Three dimensional geometrical Shape
1. Rotation
2. Reflection
3.Dilation
4. Translation
When we translate a geometrical shape , the Preimage , shifts from one position to another position in the plane in which it lies ,without changing the shape ,size ,and Interior angle of the PreImage.
→→I have described first three properties ,which are true to translation by taking a triangle ,having vertices , (0,0), (0,1) and (1,0).
Now, translating the triangle , by 1 unit right and 1 unit up,got the triangle having vertices, (1,1),(1,2) and (2,1).
Option 4 : The orientation of sequences of points in the pre image are always preserved, is the property of a rigid transformation that appears exclusive to translations.
2
In parallelogram PQRS, Ô = 114º,
PT bisects Ê and TS bisects ŝ.
Prove that PT I ST.
R
Answer:
PQ R s parallelogram
< Q = < s = 114
< P = 180 _ 114 = 66
<2 = 66 / 2 = 33
< I = 114 / 2 = 5 7
< I + < 2 = 3 3 + 57 = 90
< ( STP ) = 90
TP I ST
Answer:
The width of the deck is 2m .
Step-by-step explanation:
Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.
Now the total dimensions can be taken as
10m+ 2w and 5m + 2w of both the pool and deck.
Area = length * breadth
126m ²= (10m+ 2w) ( 5m + 2w )
126= 50 + 30 w+ 4w²
0= 50 -126+ 30 w+ 4w²
0 = 30 w+ 4w²- 76
Taking 2 as common
0= 2( 15 w+ 2w² - 38)
2w²+ 15 w - 38= 0
The above equation is the quadratic equation and can be solved as follows.
a= 2 , b= 15 and c= -38
b= -b±√b²- 4ac/2a
Putting the values
b= - 15±√15²- 4( 2)(-38)/2(2)
b= - 15± 23/4
b= - 38/4 or 8/4
b= 2 m
The width cannot be negative so we ignore the negative value
The width of the deck is 2m .
The can be checked by putting the value in the original equation.
126m ²= (10m+ 2w) ( 5m + 2w )
126m ²= (10m+ 2(2)) ( 5m + 2(2) )
126m ²= (10m+ 4) ( 5m + 4 )
126m ²= 14*9
126m ²= 126m ²
–12x2y
2x2y2
7xy2
–10x2
4x2y
3x3
Answer:
B and F would be your correct answers
m + 7 = -12
b ÷ (-2) = 18
-3 + y = 7
Answer:
you have to
Step-by-step explanation:
Answer:
2700 I think?
Step-by-step explanation:
Um 3/ 1/4 = 12 and 3 3/4 / 1/4 = 15 so 15 * 12 * 15 is 2700