A rotation transformation is where you turn a figure about a given point. The point about which the object is rotated can be inside the figure or anywhere outside it. There must be no change in shape or size of the object.
A reflection of an object is the 'flip' of that object over a line, called the line of reflection.
A translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
All these three transformations are rigid - preserve the figure sizes.
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
Answer: dilation maps the large triangle onto the small triangle
So 1/9-16z^2 this is a diffirence of two perfect squares thing
so (1/3)^2-(4z)^2
so ((1/3)-4z)((1/3)+4z)
24/72 which simplifies to 12/36 which then simplifies to 6/18 which then also simplifies to 3/9 then also simplifies to 1/3.
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
