Question

!25 POINTS! (ONE SIMPLE GEOMETRY QUESTION)

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Answer 1

1) a) given

2) b) reflexive property

3) c)SSS

Explanation:

1) a) given

2) b) reflexive property

3) c)SSS

Answer 2

1. a) given

2.b) reflexive property

3.c)SSS

Explanation:

1. The statements are given

a) given

2. QK ≅ QK

b) reflexive property

3. BQ ≅ NK

BK ≅ NQ

QK ≅ QK

so by side-side-side the triangles are congruent

c)SSS

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Answer to the 50 pts Question

2) ΔCAP ~ ΔHIT

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

y=37.7

3) Similar to previous question

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

x=20