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LL , La , HL and Ha
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What is LL Congruence Theorem?
LL Congruence theorem says: If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent.
Who is the father of congruence of triangles?
who found out congruency
What is LA Congruence Theorem?
LA Congruence Theorem says: If one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
How the triangle similarity postulates are alike and how they differ from triangle congruence postulates?
Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.
Who discovered congruence of triangles?
Pascal (both the Persians and the Chinese) discovered the congruence of traingle during the eleventh century
Which are congruence theorems for right triangles?
If the hypotenuse and a leg of two right triangles are the same measure, the triangles are congruent
What are the congruence theorems or postulates?
They are theorems that specify the conditions that must be met for two triangles to be congruent.
What are the 2 triangle congruence theorems?
The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.
Assume you are given two right triangles with congruent hypotuneses and wish to show that they are congruent Which congruence theorem for right triangles that may be of use?
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
What are the four congruence theorems for a right triangle?
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Is The HL Congruence Postulate of Triangles only for right triangles?
yes
Which of the following are right triangle congruence theorems (Apex)?
HA, LA, HL, LL [APEX]
What are congruence theorems?
there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS
The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
Wwhich of the following are not congruence theorems or postulates?
the congruence theorems or postulates are: SAS AAS SSS ASA
Which congruence theorem guarantees that right angled triangles are congruent?
The checking for right-angled triangles is RHS:Right angle - they both haver a right angleHypotenuse - the hypotenuse of the triangles are congruentSide - a corresponding side of the triangles are congruent.
What is HA congruence theorem for right triangles is a special case of the .?
The correct answer is the AAS theorem
