00:01
All right, so you're given a lot of information there.
00:03
Part of that is that qn and sm are perpendicular and rn and sp are perpendicular, which are already marked by the right angles here.
00:15
Okay, so that was given.
00:25
Then this would mean that their right angles as marked in the diagram because that is the definition of perpendicular.
00:32
I'm using symbols for my space, but because we're given perpendicular, that's what it would mean, that we're creating right angles.
00:40
We were also given the n as the midpoint of segment mp.
00:45
That was a given piece of information.
00:49
If n is the midpoint of np, then that is why mn is congruent to pn.
00:59
That is the definition of midpoint.
01:04
To be in the midpoint means you've got congruent segments on each side.
01:11
Qn congruent to rn was another given piece of.
01:15
Of information and now these triangles mqn and r prn are congruent are congruent because they are we have corresponding congruent hypotenuse and legs in right triangle so that's by hl then we would know that angle m and angle p are congruent because those are corresponding angles and those congruent triangles, that's called c -p -c -t -c -c.
01:58
Corresponding parts of congruent triangles are congruent.
02:04
Then sm would be congruent to sp...