Question 3 (multiple answer) Use the figure to answer the question. Line a inter

Question

Question 3 (multiple answer)

Use the figure to answer the question.

Line a intersects line b at H. Points A, H, and B are located on line a. BM? intersects line b at point L. Points C, L, H, and I are all on line b, with L between C and H. HJ? is constructed so that J lies in the interior of ?BHI. You are given m?MLH=126.87°, m?JHI=29°, and ?BHC is a right angle.

Assume that AH¯?BH¯.

Which figure is not a perpendicular bisector to AB¯?

Select all that apply.

A) BH¯

B) line b

C) LM?

D) line a

E) HC¯

Explanation / Answer

Answer:-

A)

BH is coincident to AB, hence BH is not perpendicular bisector to AB.

B)

line b is perpendicular bisector to AB, as AH=BH and angle BHC is a right angle, i.e. line b is perpendicular to AB.

C)

LM is not a perpendicular bisector to AB as LM does not bisect AB .

D)

line a is not a perpendicular bisector of AB, as line a is coincident with AB.

E)

HC is perpendicular bisector to AB, as AH=BH and angle BHC is a right angle i.e. HC is perpendicular to AB.

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