Answer:
half a sphere is called a hemisphere
Answer:
B'(3, 5)
Step-by-step explanation:
Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,
(x, y) → (x - h, y + k)
If h = 4 and k = 3,

Following this rule coordinates of the image point of B will be,
B(7, 2) → B'(7 - 4, 2 + 3)
→ B'(3, 5)
Therefore, coordinates of the image point B' will be,
B'(3, 5)
Translation refers to a rigid motion or transformation where you move an object from one location to another.
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.
In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.
If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)
The point that represents the coordinates of the pre-image is (-3,1).
First, we need to find the base. To do so, we will need to use the Pythagorean Theorem on one of the smaller triangles to solve for its unknown side. Then, we can double the base of the one to find the base of the whole.
Pythagorean Theorem: a^2 + b^2 = c^2
(12)^2 + b^2 = (16)^2
144 + b^2 = 256
b^2 = 112
b = 
b = 
total base = 2 x
= 
Second, we can find the area. The formula for the area of a triangle is A = 1/2 x base x height.
A = 1/2 x
x 12
A =
x 12
A =
units^2
Third, we can find the perimeter. The perimeter is the sum of all of the exterior sides.
P = 16 + 16 +
P = 32 +
units
Hope this helps!! :)