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Find the missing coordinates of the points

Find the missing coordinates of the points-example-1
User Henley N
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1 Answer

4 votes

Answer:

P(-a, a)

Q(0, a)

Explanation:

The triangle is given as isosceles. It is also a right triangle since angle Q is a right angle. The legs of a right triangle form the right angle. Also, in an isosceles right triangle, the legs are congruent.

OQ = QP

The coordinates of point O are (0, 0) since point O is the origin.

Point Q lies on the y-axis, so its x-coordinate is 0.

Point Q has coordinates (0, a).

The length of OQ is a. The length of QP is also a.

That makes the coordinate of point P (-a, a).

Answer:

P(-a, a)

Q(0, a)

User Jveldridge
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4.6k points