00:01
Okay, so when looking at this problem, looking for all the true statements, i think it's helpful to understand how quadrilaterals break up.
00:10
If you think of quadrilaterals, there are any four -sided figure.
00:13
We can kind of split them up in this case for parallelograms and trapezoids.
00:17
From there, parallelograms have two pairs of opposite sides that are parallel.
00:21
Trapezoids has one pair of parallel size that are parallel.
00:26
Parallelograms can be also be more specific.
00:27
We can be a rhombus or rectangle.
00:29
A rhombus is a parallelogram that has four congruent.
00:32
A rectangle is a parallelogram that has four congruent angles.
00:37
If i have a quadrilateral that has four congruent sides and four congruent angles, that's a square.
00:43
So i like to look at this, that everything going down is always true.
00:47
So if i say, is a parallelogram a quadrilateral? yes, it's always true.
00:53
Sorry, i said that wrong earlier.
00:54
If i'm kind of going up the chart, it's always true.
00:56
So if i say, is a square rhombus, yes.
00:59
Is a rectangle a parallelogram? yes.
01:02
But if i go down, it's sometimes true.
01:05
Is a quadrilateral, a parallelogram? sometimes.
01:10
So when i look at these statements, every rectangle is a parallelogram.
01:13
I'm going up the charts, that's true.
01:16
Every rhombus is a square.
01:18
Well, that's sometimes true, so i'm not going to say that.
01:21
So no on this case.
01:24
Every square is a rectangle.
01:25
I'm going up the chart, that is true.
01:28
Every parallelogram is a quadrilateral.
01:31
True.
01:32
Parallelograms have a rectangle.
01:33
To be at four sides.
01:35
Every parallelogram is a rectangle.
01:37
No, because sometimes it's not...