Answer:
Step-by-step explanation:
y=x+4
Answer:
E is the same distance from A and B. ⇒ D
Step-by-step explanation:
<em>Let us explain the meaning of perpendicular bisector</em>
If line m is the perpendicular bisector of line n, then
- line m intersect line n at the mid-point of line n
- They form 4 right angles around this mid-point
∵ Line CD is the perpendicular bisector of segment AB
∴ Line CD intersects segment AB at the mid-point of AB
∵ Line CD and segment AB intersected at point E
→ That means E ∈ CD and E ∈ AB
∴ Point E is the mid-point of line AB
∴ Point E divides line AB into 2 equal parts
→ That means point E is at the same distance from points A and B
∴ E is the same distance from A and B.
The given figure is a triangle.
Let points be P(-5,3), Q(0,-1) and C(4,4)
Using coordinate geometry we can determine the area by:
Area = Mod (
)
Px, Qx, Rx refers to x coordinates of point P, Q and R, respectively
Py, Qy, Ry refers to y coordinates of point P, Q and R, respectively
Substituting the values in the area formula:
Area = Mod (
)
⇒ Area = Mod (
⇒ Area = Mod (
)
⇒ Area = 20.5 sq. units