1
00:00:00,000 --> 00:00:01,420


2
00:00:01,420 --> 00:00:07,250
A parallelogram is a blank with
two sets of parallel lines.

3
00:00:07,250 --> 00:00:09,280
So let's see what
the options are.

4
00:00:09,280 --> 00:00:10,880
So one option is
a quadrilateral.

5
00:00:10,880 --> 00:00:13,405
And a parallelogram is
definitely a quadrilateral.

6
00:00:13,405 --> 00:00:16,120
A quadrilateral is
a four-sided figure,

7
00:00:16,120 --> 00:00:18,350
and it is definitely
a four-sided figure.

8
00:00:18,350 --> 00:00:21,970
A parallelogram is
not always a rhombus.

9
00:00:21,970 --> 00:00:25,830
A rhombus is a special case of a
parallelogram where not only do

10
00:00:25,830 --> 00:00:27,680
you have to sets
of parallel lines

11
00:00:27,680 --> 00:00:31,560
as your sides, two
sets of parallel sides,

12
00:00:31,560 --> 00:00:34,410
but all of the sides are the
same length in a rhombus.

13
00:00:34,410 --> 00:00:37,610
And a square is a special
case of a rhombus where

14
00:00:37,610 --> 00:00:40,400
all of the angles
are 90 degrees.

15
00:00:40,400 --> 00:00:42,450
So here, all we can say
is that a parallelogram

16
00:00:42,450 --> 00:00:44,080
is a quadrilateral.

17
00:00:44,080 --> 00:00:45,330
And so let's check our answer.

18
00:00:45,330 --> 00:00:47,244
And it's always a good
idea to look at hints.

19
00:00:47,244 --> 00:00:49,660
And so it'll kind of say the
same thing that we just said,

20
00:00:49,660 --> 00:00:51,576
but it would say it for
the particular problem

21
00:00:51,576 --> 00:00:53,240
that you're actually looking at.

22
00:00:53,240 --> 00:00:55,120
Let's do a few more of these.

23
00:00:55,120 --> 00:00:58,200
Suzanne is on an expedition
to save the universe.

24
00:00:58,200 --> 00:01:01,320
Sounds like a reasonable
expedition to go on.

25
00:01:01,320 --> 00:01:03,130
For her final challenge,
she has to play

26
00:01:03,130 --> 00:01:05,800
a game called Find
the Rhombuses.

27
00:01:05,800 --> 00:01:10,310
A wizard tells her that she
has a square, a quadrilateral,

28
00:01:10,310 --> 00:01:12,410
and a parallelogram,
and she must

29
00:01:12,410 --> 00:01:16,220
identify which of the
shapes are also rhombuses.

30
00:01:16,220 --> 00:01:20,580
Which of these shapes should
she pick to save the universe?

31
00:01:20,580 --> 00:01:23,850
So a square is a special
case of a rhombus.

32
00:01:23,850 --> 00:01:28,626
Just to remind ourselves, a
rhombus, the opposite sides

33
00:01:28,626 --> 00:01:29,750
are parallel to each other.

34
00:01:29,750 --> 00:01:32,650
You have two sets
of parallel sides.

35
00:01:32,650 --> 00:01:35,140
A square has two sets
of parallel sides,

36
00:01:35,140 --> 00:01:37,650
and it has the extra condition
that all of the angles

37
00:01:37,650 --> 00:01:38,900
are right angles.

38
00:01:38,900 --> 00:01:43,120
So a square is definitely
going to be a rhombus.

39
00:01:43,120 --> 00:01:46,240
Now, all rhombuses
have four sides.

40
00:01:46,240 --> 00:01:48,930
So all rhombuses
are quadrilaterals.

41
00:01:48,930 --> 00:01:51,830
But not all quadrilaterals
are rhombuses.

42
00:01:51,830 --> 00:01:54,080
You could have a quadrilateral
where none of the sides

43
00:01:54,080 --> 00:01:55,770
are parallel to each other.

44
00:01:55,770 --> 00:01:58,380
So we won't click this one.

45
00:01:58,380 --> 00:02:00,600
Once again, a parallelogram.

46
00:02:00,600 --> 00:02:03,370
So all rhombuses
are parallelograms.

47
00:02:03,370 --> 00:02:06,000
They have two sets
of parallel sides,

48
00:02:06,000 --> 00:02:07,620
two sets of parallel
line segments

49
00:02:07,620 --> 00:02:09,020
representing their sides.

50
00:02:09,020 --> 00:02:12,911
But all parallelograms
are not rhombuses.

51
00:02:12,911 --> 00:02:14,910
So I would say that if
someone gives you square,

52
00:02:14,910 --> 00:02:18,400
you can say, look, a square is
always going to be a rhombus.

53
00:02:18,400 --> 00:02:21,170
A quadrilateral isn't always
going to be a rhombus,

54
00:02:21,170 --> 00:02:25,210
nor is a parallelogram
always going to be a rhombus.

55
00:02:25,210 --> 00:02:27,108
We got it right.

56
00:02:27,108 --> 00:02:27,608