If the two angles are equal on each triangle, and the side that is not between those angles is also equal, then the triangles are congruent. In the following example, the obtuse angles in each triangle have the same measurement of degrees. One of the acute angles has a measurement of degrees.
Since these measurements are the same on both triangles, we can use the AAS Theorem to say that these triangles are congruent.
The Hypotenuse-Leg Theorem only works for right triangles. If you have two right triangles, then check the measurement of the hypotenuse and one of the legs. If those lengths are the same on each triangle, then the two triangles are congruent. Remember that the hypotenuse is the largest side and is located opposite from the right angle. The sides touching the right angle are referred to as legs. Choose one of these legs when assessing the triangles.
For example, in the following example we have two right triangles. Therefore, you can look at the side lengths for the hypotenuses 20 and one of the legs Because these lengths are the same on both of the triangles, it can be deduced through the Hypotenuse-Leg Theorem that the triangles are congruent. Once you have some of the angle measurements and side lengths to back up your theory, you can truly determine whether or not the triangles are congruent.
She spent several years teaching and tutoring students at the elementary, high school, and college level. She currently works as a contract writer and curriculum developer for online education courses. In her free time, she enjoys running and spending time with her boys!
View all posts. Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style, methods and materials. Congruent Figures Congruent figures are geometric figures that have the same shape and size.
Consider the polygon shown. Therefore, the polygon obtained by the transformations is congruent to the initial polygon. Compatible numbers. Everything you need to prepare for an important exam! K tests, GED math test, basic math tests, geometry tests, algebra tests. Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!
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