The vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be found?
1)use the distance formula to find the length of each side, and then add the lengths.
2)use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
3)use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
4)use the distance formula to find the length of the sides, and then multiply two of the side lengths.

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step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

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step-by-step explanation: