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Sss geometry example tricia cole9/26/2023 Sides have the same length.SSS Criterion stands for Side-Side-Side congruence postulate. Why is that? Because if they're equilateral triangles, then that means all of those Triangles ABC and DEF areĮquilateral triangles. Way of proving congruence, so this is sufficient, so we rule it out. This is angle, angle, side which is also a legitimate With the congruent triangles, or another way to think about it is. The measure of angle F, and think about it this way, if you have two angles that are congruent, that means that the third angle is going to be congruent as well, so you know that they're similar, and then if one set ofĬorresponding sides are congruent, and they're similar triangles well, then you know you're dealing Of the previous examples, so now we're saying that the measure of angle C is equal to Yeah, because here, and I know this is getting confusing now, and actually let me erase some of this other stuff from some You could move around the other two sides to get anything other than these triangles being congruent, so we'd rule that out. which is a way to showĬongruence and think about this, if this angle and this angle are converted to this angle and thatĪngle and that side, and between them are the same, well, there's no way that Angle B has the same measure as angle E, so angle B has the same You can move them out at different angles, and so that would makeĭF different lengths, and so side, side, angle is not sufficient to show that the triangles are congruent, so I like this choice a lot, but we could look at the other ones, and see why they are sufficient to show that the triangles are congruent. The measure of angle B, and the measure of angleĮ isn't necessarily fixed, and those aren't necessarily congruent, and so side BC or angle or side EF you could move them out. Now is that sufficient for congruence, so this would be angle, side, side which is not a nice abbreviation, so we would say side, side, angle, and you might remember from geometry that this is not sufficient, and one way to think about this is that this angle up here, BC is equal to EF, so BC is equal to EF right over there. Alright, this next one BC is equal to EF. Geometry that side, angle, side which is a way of proving congruence, so this one actually would be sufficient to show that they're congruent, so we would rule it out. Okay, so choice A, AC is equal to DF, so this is saying that AC is equal to DF, so that's saying that we have a side, and then an angle and then another side that is congruent to a side,Īngle and another side. Is sufficient to show that these triangles are congruent then we would rule that out because we wanna figure out which of these choices which is not sufficient to show that the triangles are congruent. Okay, so let's go through them one by one, and if any one of these Of these is not sufficient, and we only pick one of these, so pause this video and see Which of the following statements, if true is not sufficient to show that triangles ABC and DEF are congruent? So we have to figure out which Same measure as angle D, so angle A has the same Right over there is equal to DE, so let me mark that also so AB is equal to DE, and angle A has the In the figure above AB, so the length of that side
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