Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

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Answer 1

Q1)

(1) a) given

(2) d) defenition of bisector

(3) b) Reflexive property

(4) c) AAS

Q2) y = 37.7

Q3)x = 20

Explanation:

Q1)

(1) a) given

(2) d) defenition of bisector

(3) b) Reflexive property

(4) c) AAS

Q2) Gn: ΔCAP ~ ΔHIT

The ratio of the corresponding sides are equal

`\implies (HI)/(IT) = (CA)/(AP)\\ \\\implies (y)/(b) = (12)/(7)\\\\\implies (y)/(22) = (12)/(7)\\\\\implies y = 22((12)/(7))\\\\\implies y = 37.7`

Q3) Gn: ΔCAP ~ ΔHIT

The ratio of the corresponding sides are equal

`\implies (IT)/(HI) =(AP)/(CA)\\ \\\implies (x)/(a) =(8)/(4)\\\\\implies (x)/(10) =2\\\\\implies x = 20`