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enyata [817]
3 years ago
10

I need help for question 12 plz

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Step-by-step explanation:

(1)

AX is bisector of \angle RAT \implies \angle MAN ... (1)

In\: \triangle MIA \: \&\:\triangle NIA\\\angle AMI \cong \angle ANI ... (each \: 90\degree)\\\angle MAI \cong \angle NAI ....(from \: 1)\\AI \cong AI .. (common \:side) \\\therefore \triangle MIA \: \cong\:\triangle NIA.. \\(By \: AAS \: Postulate \: of \: congruence) \\\therefore IM = IN

(2)

In \: \square AMIN \\\angle A = \angle M= \angle N = 90°\\\therefore \angle I = 90°

(Remaining angle of quadrilateral)

\therefore \square AMIN is a rectangle.

\because IM = IN

(adjacent sides of a rectangle)

\therefore \square AMIN is a square.

Hence proved.

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