What are the 4 congruent triangles?
There are four commonly used congruence tests.
- Side Side Side (SSS) The three sides of one triangle are respectively equal to the three sides of the other triangle.
- Side Angle Side (SAS)
- Angle Angle Side (AAS)
- Right angle Hypotenuse Side (RHS)
What are 2 congruent triangles?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
How do you find two congruent triangles?
AAS stands for “angle, angle, side” and means that we have two triangles where we know two angles and the non-included side are equal. If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
What is the condition for a triangle to be congruent?
The fundamental condition for congruence is that two sides and the included angle of one triangle be equal to two sides and the included angle of the other. Euclid proved this by supposing one triangle actually placed on the other, and allowing the equal sides and equal angles to coincide.
When does an AAS congruence postulate need to be made?
AAS Congruence Postulate (Angle-Angle-Side) If two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of a second triangle, the two triangles are congruent. 4.4
How is the HL congruence theorem used in geometry?
HL Congruence Theorem (HL)– If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent. Geometry 60 Geometry 60 Name _________________ 61 Geometry 61 Triangles Notes Section 4.1 Classify by Sides
What is the converse to the isosceles triangle theorem?
Converse to the Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent. Corollary 4-2 – Each angle of an equilateral triangle measures 60. Definition of Congruent Triangles (CPCTC)- Two triangles are congruent iff their corresponding parts are congruent.