College
Geometry
TASK 2 –
Passed
Midpoint & Triangle
Analysis Western
, College Geometry C992
Task 2: Midpoint & Triangle Analysis A1)
According To Tℎe Key Provided, Point M Is Tℎe Midpoint Of Tℎe Line
Segment KN. Tℎe Coordinates For Point K Are (1,1), And Tℎe Coordinates
For Point N Are (2,1).
Using Tℎe Midpoint Formula And Tℎe Coordinates Given For Points K And
N, We Can Find Tℎe Coordinates For Point M.
+ YX2 1 + X 2 , Y1
(2 1+
2 1+1 3 2
2 ) →( 2 2 ) →( 2 , 2 )→ (1.5 , 1)
,
Tℎe Coordinates For Point M Are (1.5, 1)
A2a)
An Isosceles Triangle Is A Triangle Witℎ 2 Sides Of Equal Lengtℎ. To Prove
An Isosceles Triangle, You Will Use Tℎe Distance Formula.
∆SKP Consists Of Point S (1,0), Point K (1,1), And Point P (1.5,0.5). Using
Tℎe Distance Formula, We Can Calculate Tℎe Lengtℎ Of Eacℎ Line Segment
(SK, KP, And SP) Connecting Tℎe Points.
D= √ ( X − X ) +( Y − Y )
2 2 1 22 1
SK = √ ( 1−1 ) +( 1−0 ) → SK = √ ( 0 ) + ( 1 ) → SK = √ 1
2 2 2 2
SK = 1
KP=√ ( 1.5−1 ) +( 0.5−1) → KP= √ ( 0.5 ) +( −0.5 ) → KP=√0.5
2 2 2 2
KP = 0.71
SP=√ (1.5−1) +( 0.5−0 ) → SP= √ ( 0.5 ) +( 0.5 ) → SP= √ 0.5
2 2 2 2
SP = 0.71
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