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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 Mark the following triangles given the stated congruent triangle postulate. DEF SSS SAA E D ASA SAS Determine which triangles are congruent and why? Using your previous postulates mark congruent angles and sides if they exist and then find the corresponding congruent triangle.
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.
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.
The vertices are D, E, and F. The angles are D, E, and F. In Chapter 3, you classified angles as acute, obtuse, or right. Triangles can also be classified by their angles. All triangles have at least two acute angles. The third angle is either acute, obtuse, or right.
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.