Contents
- 1 What are the conditions for the two triangles to be congruent using the HL Theorem?
- 2 What are the 3 things needed to show that triangles are congruent by HL?
- 3 What information is needed in order to apply the hypotenuse leg HL Theorem?
- 4 What is a HL angle?
- 5 What is La congruence theorem?
- 6 What information do you need for HL Theorem?
- 7 What are the theorems for proving triangle congruence?
- 8 When does a triangle not satisfy the theorem?
- 9 How are two right triangles congruent in RHS?
What are the conditions for the two triangles to be congruent using the HL Theorem?
The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.
What are the 3 things needed to show that triangles are congruent by HL?
Congruent Triangles
- 3 sides (SSS)
- Side-Angle-Side (SAS)
- Angle-Side-Angle (ASA)
- Angle-Angle-Side (AAS)
- Hypotenuse-leg (HL)
What information is needed in order to apply the hypotenuse leg HL Theorem?
The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
What are the three conditions for congruency?
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.
What is congruence theorem?
When triangles are congruent corresponding sides (sides in same position) and corresponding angles (angles in same position) are congruent (equal). …
What is a HL angle?
The HLR (Hypotenuse-Leg-Right angle) theorem — often called the HL theorem — states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is La congruence theorem?
The LA Theorem states: If the leg and an acute angle of one right triangle are both congruent to the corresponding leg and acute angle of another right triangle, the two triangles are congruent.
What information do you need for HL Theorem?
The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
What are the 4 conditions of congruence?
Conditions for Congruence of Triangles:
- SSS (Side-Side-Side)
- SAS (Side-Angle-Side)
- ASA (Angle-Side-Angle)
- AAS (Angle-Angle-Side)
- RHS (Right angle-Hypotenuse-Side)
Are there any theorems for identifying similar 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 theorems for proving triangle congruence?
Proving triangles congruent uses three theorems (postulates), the Angle Side Angle (ASA), Side Angle Side (SAS), and Side Side Side (SSS). Want to see the video? Math Tutors
When does a triangle not satisfy the theorem?
As soon as the sum of any 2 sides is less than the third side then the triangle’s sides do not satisfy the theorem. Use the shortcut and check if the sum of the 2 smaller sides is greater than the largest side. Side 1: 1.2 Side 2: 3.1
How are two right triangles congruent in RHS?
RHS (Right Hypotenuse Side) Congruence Criteria (Condition): Two right triangles are congruent, if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and a side of the other triangle. ∴ By RHS, ∆ABC ≅ ∆QPR.