What are the triangle theorems?
|Right Angles||All right angles are congruent.|
|Base Angle Theorem (Isosceles Triangle)||If two sides of a triangle are congruent, the angles opposite these sides are congruent.|
|Base Angle Converse (Isosceles Triangle)||If two angles of a triangle are congruent, the sides opposite these angles are congruent.|
What are the 3 theorems about triangles?
Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle – Angle (AA), Side – Angle – Side (SAS), and Side – Side – Side (SSS), are foolproof methods for determining similarity in triangles.
What are the 4 triangle congruence theorems?
These four criteria used to test triangle congruence include: Side – Side – Side (SSS), Side – Angle – Side (SAS), Angle – Side – Angle (ASA), and Angle – Angle – Side (AAS). There are more ways to prove the congruency of triangles, but in this lesson, we will restrict ourselves to these postulates only.
What are the 5 triangle congruence theorems?
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
- SSS (side, side, side) SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
- SAS (side, angle, side)
- ASA (angle, side, angle)
- AAS (angle, angle, side)
- HL (hypotenuse, leg)
What is SSA congruence rule?
The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal. Thus assume that in triangles ABC and A’B’C’, AB = A’B’, AC = A’C’ and ∠C = ∠C’.
What are the three methods of proving triangles congruent?
Methods of proving triangles are congruent: Side-Side-Side (SSS) – we have to prove that all three sides are congruent. Side-Angle-Side (SAS) – what’s very important here is that the “Angle” is written between the two sides. Angle-Side-Angle (ASA) – just like the “angle” in SAS is in between two sides; the “Side” here should also be in between two angles.
What are three ways that triangles are congruent?
They are called SSS, SAS, and ASA. The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent . When all the sides of two triangles are congruent , the angles of those triangles must also be congruent . This method is called side-side-side, or SSS for short.
How do we prove triangles congruent?
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent.
Which two triangkes are congruent by the HL theorem?
The hypotenuse-leg congruence theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle , the two triangles are congruent . Explains why HL is enough to prove two right triangles are congruent using the Pythagorean Theorem .