North American Male, Elearning Educational Demo
Description
Vocal Characteristics
Language
EnglishVoice Age
Young Adult (18-35)Accents
North American (Canadian-General)Transcript
Note: Transcripts are generated using speech recognition software and may contain errors.
Hello and welcome to today's lesson on triangle congruence postulates in today's lesson, we'll be learning about triangle congruence. SAS postulate. The key concept for today's lesson is use the SAS postulate to test for triangle congruence. Before we get started with today's lesson. Let's look over some of the key vocabulary. The key word for this lesson is included angle, the angle formed by two sides of a triangle. Now let's learn some more about your first key postulate which is the side slide side congruence. If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent. We abbreviate this using SSS. For your second key postulate, we have the side angle side congruence where if two sides and then the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. We abbreviate side angle side by using SAS. Now that we've gone over all the key concepts and key vocabulary. Let's get started with your lesson. For a first problem. We have to write a flow proof to start this question out. Given that the lines RQ and TS are parallel to one another. We know that they also have the same line side lengths. So we can say that line RQ is congruent to line TS. By this fact, we can also say that the two triangles are congruent. So triangle Q RT is congruent to triangle STR. So looking further into what we just wrote, we know that if line RQ is parallel to line Ts, then the angles Q RT is congruent to the angle STR. And so given that two sides in the included angle of one triangle are congruent to two sides in the included angle of another triangle, the triangles are congruent by the SAS postulate. Now you try