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3 years ago

4,5,6 I need help on

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answers:

Median: The only median is the segment JG

Altitude: There are two altitudes. They are segment JG and KF

Angle Bisector: There is only one angle bisector and it is segment JG

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Explanations:

The median is a segment that goes from a vertex to the midpoint of the opposite side. Only one segment fits this description and it is segment JG

An altitude is a segment that goes from a vertex to the opposite side, and it is perpendicular to the opposite side (perpendicular is shown with square angle markers). Two segments fit this description which are JG and KF. It is possible for a median to also be an altitude. In this case, triangle KJL is an isosceles triangle (KJ = JL)

Angle bisectors cut a given angle into two equal or congruent halves. The segment JG fits this description. It is possible for a segment to be a median, altitude, and angle bisector.

Side Note: the segment EL is neither a median, nor an altitude, nor an angle bisector.

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T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint of QS

So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3

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=> a = -5 and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint of RT

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Step 4 :

Answer :

S = (-5,0)

T = (2,1)

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