Question

KITE is a trapezium, and A is the midpoint of it. Prove that B bisects KE.

A) B is the midpoint of KE.
B) AB is parallel to ET.
C) KITE is a square.
D) KI = TE.

Answer 1

To prove that B bisects KE in the trapezium KITE, we can use the Midpoint Theorem. The Midpoint Theorem states that if a line segment has a midpoint, then it divides the segment into two equal parts. Therefore, B bisects KE.

Step-by-step explanation:

To prove that B bisects KE in the trapezium KITE, we can use the Midpoint Theorem. The Midpoint Theorem states that if a line segment has a midpoint, then it divides the segment into two equal parts.

In this case, we know that A is the midpoint of KITE. So, to prove that B bisects KE, we need to show that AB is equal to BE.

Since A is the midpoint of KITE, we have AE = ET and AI = IE. So, by using the transitive property of equality, we can say that AE = AI = IE = ET.

Since AE = ET, and AI = IE, we can conclude that AB is equal to BE. Therefore, B bisects KE.