WEBVTT 00:00:00.000 --> 00:00:01.420 00:00:01.420 --> 00:00:07.250 A parallelogram is a blank with two sets of parallel lines. 00:00:07.250 --> 00:00:09.280 So let's see what the options are. 00:00:09.280 --> 00:00:10.880 So one option is a quadrilateral. 00:00:10.880 --> 00:00:13.405 And a parallelogram is definitely a quadrilateral. 00:00:13.405 --> 00:00:16.120 A quadrilateral is a four-sided figure, 00:00:16.120 --> 00:00:18.350 and it is definitely a four-sided figure. 00:00:18.350 --> 00:00:21.970 A parallelogram is not always a rhombus. 00:00:21.970 --> 00:00:25.830 A rhombus is a special case of a parallelogram where not only do 00:00:25.830 --> 00:00:27.680 you have to sets of parallel lines 00:00:27.680 --> 00:00:31.560 as your sides, two sets of parallel sides, 00:00:31.560 --> 00:00:34.410 but all of the sides are the same length in a rhombus. 00:00:34.410 --> 00:00:37.610 And a square is a special case of a rhombus where 00:00:37.610 --> 00:00:40.400 all of the angles are 90 degrees. 00:00:40.400 --> 00:00:42.450 So here, all we can say is that a parallelogram 00:00:42.450 --> 00:00:44.080 is a quadrilateral. 00:00:44.080 --> 00:00:45.330 And so let's check our answer. 00:00:45.330 --> 00:00:47.244 And it's always a good idea to look at hints. 00:00:47.244 --> 00:00:49.660 And so it'll kind of say the same thing that we just said, 00:00:49.660 --> 00:00:51.576 but it would say it for the particular problem 00:00:51.576 --> 00:00:53.240 that you're actually looking at. 00:00:53.240 --> 00:00:55.120 Let's do a few more of these. 00:00:55.120 --> 00:00:58.200 Suzanne is on an expedition to save the universe. 00:00:58.200 --> 00:01:01.320 Sounds like a reasonable expedition to go on. 00:01:01.320 --> 00:01:03.130 For her final challenge, she has to play 00:01:03.130 --> 00:01:05.800 a game called Find the Rhombuses. 00:01:05.800 --> 00:01:10.310 A wizard tells her that she has a square, a quadrilateral, 00:01:10.310 --> 00:01:12.410 and a parallelogram, and she must 00:01:12.410 --> 00:01:16.220 identify which of the shapes are also rhombuses. 00:01:16.220 --> 00:01:20.580 Which of these shapes should she pick to save the universe? 00:01:20.580 --> 00:01:23.850 So a square is a special case of a rhombus. 00:01:23.850 --> 00:01:28.626 Just to remind ourselves, a rhombus, the opposite sides 00:01:28.626 --> 00:01:29.750 are parallel to each other. 00:01:29.750 --> 00:01:32.650 You have two sets of parallel sides. 00:01:32.650 --> 00:01:35.140 A square has two sets of parallel sides, 00:01:35.140 --> 00:01:37.650 and it has the extra condition that all of the angles 00:01:37.650 --> 00:01:38.900 are right angles. 00:01:38.900 --> 00:01:43.120 So a square is definitely going to be a rhombus. 00:01:43.120 --> 00:01:46.240 Now, all rhombuses have four sides. 00:01:46.240 --> 00:01:48.930 So all rhombuses are quadrilaterals. 00:01:48.930 --> 00:01:51.830 But not all quadrilaterals are rhombuses. 00:01:51.830 --> 00:01:54.080 You could have a quadrilateral where none of the sides 00:01:54.080 --> 00:01:55.770 are parallel to each other. 00:01:55.770 --> 00:01:58.380 So we won't click this one. 00:01:58.380 --> 00:02:00.600 Once again, a parallelogram. 00:02:00.600 --> 00:02:03.370 So all rhombuses are parallelograms. 00:02:03.370 --> 00:02:06.000 They have two sets of parallel sides, 00:02:06.000 --> 00:02:07.620 two sets of parallel line segments 00:02:07.620 --> 00:02:09.020 representing their sides. 00:02:09.020 --> 00:02:12.911 But all parallelograms are not rhombuses. 00:02:12.911 --> 00:02:14.910 So I would say that if someone gives you square, 00:02:14.910 --> 00:02:18.400 you can say, look, a square is always going to be a rhombus. 00:02:18.400 --> 00:02:21.170 A quadrilateral isn't always going to be a rhombus, 00:02:21.170 --> 00:02:25.210 nor is a parallelogram always going to be a rhombus. 00:02:25.210 --> 00:02:27.108 We got it right. 00:02:27.108 --> 00:02:27.608