Question

HELP PLEASE ASPA!!12 pts!!!!

Picture below

Part 1.ABC is a right isosceles triangle, and M is the midpoint of AC.

What are the coordinates of point C?

Answer options:

(a, 0)

(a, a)

(0, a/2)


part 2.ABC is a right isosceles triangle, and point M is the midpoint of AC.

What are the coordinates of point M?ANSWER OPTIONS

(a/2,0)


(a, a)


(0, a/2)

Answer 1

(A, 0)

(A/2, 0)

Answer 2

The coordinates of point C is A) (a, 0).

The coordinates of the point M is (a/2, 0)

Explanation:

Consider the provided figure.

The point B is lying on the y axis and point C is lying on the x axis.

Part 1. ABC is a right isosceles triangle, and M is the midpoint of AC.

Isosceles triangle means two sides are equal.

The triangle is right isosceles triangle that means BC is the hypotenuses which is the largest side.

AB = AC (Two sides are equal)

(0,a) represents the length of side AB which is "a" unit, where x coordinate is 0 and y coordinate is "a"

Similarly, the length of the sides AC will be "a" unit and represent as (a,0) where x coordinate is "a" and y coordinate is 0.

Hence, the correct option is A) (a, 0).

Part 2. ABC is a right isosceles triangle, and point M is the midpoint of AC.

M is the mid point of AC that means the length of AM should be the half of the length of AC.

The length of AC is "a" unit therefore, the length of AC should be
`(a)/(2)` unit.

Hence, the coordinates of the point M is (a/2, 0)