Question

XY is the perpendicular bisector of JK. which of the following statements must be true? check all that apply?

A. XY and JK form four right angles
B. P is the midpoint of XY
C. m D. XP=YP
E.JP=KP
F. XY perpendicualr to JK

Answer 1

Answer with explanation:

It is given that, X Y is the perpendicular bisector of J K.

X Y and J K , intersect at Point P.

The Meaning of Perpendicular Bisector is to Divide the line Segment into two equal Parts and Angle between each of two half segment is of 90°.

⇒∠X P J=∠X PK=∠J P Y=∠K P Y=90°

⇒X P=P Y, and JP=PK

The Correct Statements are

A. →X Y and J K form four right angles

B.→ P is the midpoint of X Y.

D.→X P=Y P

E.→JP=KP

F. →X Y perpendicular to J K.

Answer 2

Since XY is the perpendicular bisector of JK, and when we say perpendicular, it is a line which cuts a line segment into two equal parts at 90°. So the statements that must be true about it would be all of the above: XY and JK form four right angles, P is the midpoint of XY, m D. XP=YP, JP=KP and XY perpendicular to JK. Hope this answer helps.