Find the coordinates of the midpoint (M) of PQ. ​

Step-by-step explanation:

Givens

P is (2,8)

Q is (-6,-6)

Equation

Midpoint = (x1 + x2)/2,(y1 + y2)/2

Solution

x1 = - 6

x2 = 2

y1 = -6

y2 = 8

M = (-6 + 2)/2, (-6+8)/2

M = -4/2, 2/2

M = -2 , 1

Just to make sure that you know that the answer is reasonable, I've put the midpoint (-2,1) on a graph with the two endpoints. You could print the points out and check it with a ruler.

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.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.