1 00:00:00,730 --> 00:00:07,000 In this video, let's continue learning properties about Sakalys, we have so far seen that if you have 2 00:00:07,000 --> 00:00:14,410 an ark and it's obtaining an angle over here, that's Angle EPB, then Angle APB will be equal to half 3 00:00:14,410 --> 00:00:15,700 of the measure of the arc. 4 00:00:15,700 --> 00:00:16,330 That's angle. 5 00:00:16,340 --> 00:00:17,000 It will be. 6 00:00:17,350 --> 00:00:17,770 All right. 7 00:00:17,920 --> 00:00:20,230 Let's continue learning some interesting properties. 8 00:00:20,440 --> 00:00:24,150 Let me take one more point over here and subtrend one more angle. 9 00:00:24,160 --> 00:00:31,450 So this is angle A you be right now, the property says that the angle SUB-STANDARD by the same arc 10 00:00:31,450 --> 00:00:33,100 are equal right now. 11 00:00:33,100 --> 00:00:39,150 Over here, that means angle EPB is equal to angle accuracy and we can understand why that is. 12 00:00:39,160 --> 00:00:43,570 So we have seen Angle EBP is equal to half of Angle Elby angle. 13 00:00:43,570 --> 00:00:47,440 A cube also will be equal to half of angle. 14 00:00:47,440 --> 00:00:48,190 It will be. 15 00:00:49,600 --> 00:00:53,650 Now, because these two are equal, these two also will be equal. 16 00:00:53,830 --> 00:00:54,430 That's right. 17 00:00:54,430 --> 00:00:57,160 Angle EPB is equal to angle A. 18 00:00:58,090 --> 00:00:58,570 All right. 19 00:00:58,750 --> 00:01:01,440 But that's an interesting property that we have learned over here. 20 00:01:01,630 --> 00:01:05,230 Let's continue learning one more interesting property in this video. 21 00:01:05,470 --> 00:01:07,720 So I have a circle over here now. 22 00:01:07,720 --> 00:01:13,100 I have to ask, this is Abe and Arc B are now over here. 23 00:01:13,120 --> 00:01:20,560 Let me draw the measure of Archabbey and the measure of Arc B are now the property says that if Angle 24 00:01:20,560 --> 00:01:27,190 eight will be that's this angle over here is equal to angle B or that's this angle over here, then 25 00:01:27,400 --> 00:01:35,020 the cord maybe that's this court will be equal to the court b r and remember the court is the straight 26 00:01:35,020 --> 00:01:36,370 line joining two points. 27 00:01:36,760 --> 00:01:46,150 So if angle A or B is equal to angle B or then A, B will be equal to P R and the reverse is also true. 28 00:01:46,300 --> 00:01:52,930 That is if angle if Mr AB is equal to measure B, that is the length Abe is equal to PR then this and 29 00:01:52,930 --> 00:01:57,130 Gloria that's angle A or B will be equal to and group B or. 30 00:01:57,460 --> 00:01:57,870 All right. 31 00:01:58,000 --> 00:02:00,160 So that's, that's a very interesting property. 32 00:02:00,280 --> 00:02:05,740 Let's quickly think why that is so, so that that will help you retain this new information. 33 00:02:05,920 --> 00:02:06,300 All right. 34 00:02:06,430 --> 00:02:11,940 Now we know that or A or B or B and or are already eight. 35 00:02:11,950 --> 00:02:12,280 Right. 36 00:02:12,400 --> 00:02:13,690 So these are all equal. 37 00:02:13,870 --> 00:02:19,670 Now, let's try to analyze triangle A or B and triangle B or. 38 00:02:20,630 --> 00:02:29,060 You can see that all is equal to or B because they are really similarly or is equal to or they are also 39 00:02:29,060 --> 00:02:33,510 radiate right now, say it is given that angle Elby is equal to pure. 40 00:02:33,970 --> 00:02:37,490 So then we have one set of included angles are equal. 41 00:02:37,700 --> 00:02:44,630 Therefore these two triangles are congruent Asper s se congruency criteria and hence we can say that 42 00:02:44,630 --> 00:02:46,070 AB is equal loopier. 43 00:02:46,220 --> 00:02:46,550 Right? 44 00:02:46,700 --> 00:02:48,820 So that's this weight of the relation. 45 00:02:49,010 --> 00:02:50,910 Now, the opposite way also would be true. 46 00:02:51,080 --> 00:02:53,360 We know that these two sets of sides are equal. 47 00:02:53,840 --> 00:02:59,090 If it's given that ABS equal appear, then we have three sets of sides equal. 48 00:02:59,270 --> 00:03:05,720 Therefore, as parentheses rule, we can find that these two triangles are congruent and in that case, 49 00:03:05,720 --> 00:03:11,240 angle aob will be, will be equal to and will be lower because they are corresponding angles of two 50 00:03:11,240 --> 00:03:12,470 congruent triangles. 51 00:03:12,780 --> 00:03:14,210 Alright, let's summarize. 52 00:03:15,400 --> 00:03:23,620 We have seen that if angle aob is equal to angle B or then it is equal to PR and we have seen that this 53 00:03:23,620 --> 00:03:30,410 is true because of S.A.S. and if is equal loopier that's given, then angle it will be will be equal. 54 00:03:30,430 --> 00:03:33,840 Rupia are because of this congruence criteria. 55 00:03:34,090 --> 00:03:34,540 All right. 56 00:03:34,720 --> 00:03:36,280 But that's also very interesting. 57 00:03:36,280 --> 00:03:37,500 Property of triangles. 58 00:03:37,750 --> 00:03:40,750 Let's see one more interesting property in the next video.