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Chapter 4 – Triangle Congruence Terms, Postulates and Theorems 4.1 Scalene triangle - A triangle with all three sides having different lengths. Equilateral triangle - All sides of a triangle are congruent. Isosceles triangle - A triangle with at least two sides congruent. • Legs of an isosceles triangle - The congruent sides
TRIANGLE CONGRUENCE POSTULATES Side-Angle Inequality Postulate In a triangle, if one side is longer than another side, A then the angle opposite the longer side is larger than the angle opposite the shorter side. (Lesson 4.3) If c b a, then C B! Triangle Exterior Angle Postulate The measure of an exterior angle of a triangle is
congruence postulates and theorems. LL Theorem If two legs of one right triangle are congruent to two legs of another right triangle, the triangles are congruent.
1. Determine the sum of the measures of the angles of your triangle. 2. Drag any vertex to a different location, measure each angle, and find the sum of the measures. 3. Repeat Exercise 2 several times. 4. Make a conjectureabout the sum of the angle measures of any triangle. The results of the activities above can be stated in the Angle Sum ...
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. Isosceles triangle theorem. If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.
5 Δεκ 2018 · Theorem 4.8 Leg-Angle Congruence (LA)If one leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
Classify each statement as a defi nition, a postulate, a conjecture, or a theorem. If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. If two coplanar lines have no point of intersection, then the lines are parallel.
