Question

Help ASAP pls

Which of the following statements is true?
B
A
D
E
C
A. the segment BD bisects segment EC
B. segment AC is a perpendicular bisector
C. the segment DE is perpendicular to segment AC
D. the segment BD should be parallel to segment AE

Answer 1

Answer: Choice C

the segment DE is perpendicular to segment AC

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Step-by-step explanation:

The tiny square marker indicates we have a 90 degree angle, which in turn means the two segments DE and AC are perpendicular.

Furthermore, DE is a perpendicular bisector of AC because AC is broken into two equal pieces (AE and EC). The term "bisect" means "split in equal halves". We know that AE = EC due to the small tickmarks on each mentioned segment.

Choice B states "AC is a perpendicular bisector". This is incorrect because AC does not split any segments into two equal pieces. If choice B said "DE is a perpendicular bisector", then it would be correct.

Answer 2

The statement true is the segment DE is perpendicular to segment AC

The small square marker denotes a 90-degree angle, implying that the two segments DE and AC are perpendicular.

Furthermore, because AC is divided into two equal halves (AE and EC), DE is a perpendicular bisector of AC. The phrase "bisect" means "to divide into equal halves." Because of the little tic marks on each given segment, we know that AE = EC.

"AC is a perpendicular bisector," says option B. This is wrong since AC never divides a section into two equal portions. Choice B would be correct if it stated, "DE is a perpendicular bisector."

Given that the segment BD bisects the segment EC, we can infer that the segment BD is the perpendicular bisector of the segment EC. Since the perpendicular bisector of a segment is always perpendicular to the segment, we can conclude that: the segment DE is perpendicular to segment AC