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

AXY and JK form four right angles
BP is the midpoint of XY
Cm
DXP=YP

E.JP=KP

F. XY perpendicualr to JK

Verified Answer :

metchelle

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.

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.

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