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Given:

IJ = v + 30

HK = v

To find:

The value of HK

Solution:

By Triangle mid-segment theorem:

If a segment joining midpoints of two sides of a triangle, then the segment is parallel to the third side and is half of its length.

Multiply by 2 on both sides.

Subtract v from both sides.

Therefore HK is 30.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)