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"If two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the two triangles are congruent."
Example:
Given: Segments AC≅PR Segments BC≅QR Prove: ▲ABC≅▲PQR Statements Reasons 1.) 2.) 3.) AC≅PR Given BC≅QR 4.) ▲ABC≅▲PQR SAS Postulate -ClandestineShuriken
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The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
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.
The LL theorem is a special case of the SSS or the postulate?
SAS
Does the letter H have parallel lines?
yes. the two vertical lines. for example the ll in parallel is parallel...thats how i remember.
ZW ll YX what does this mean?
ZW is parallel to YX.
Who discovered ll congruence theorem?
the answer is 120
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.
The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
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.
The LL theorem states that for two triangles two congruent legs are sufficient to prove congruence of the triangles?
You left out one very important detail . . . the statement is true for a RIGHT triangle.
Congruence theorems for right triangles?
LL , La , HL and Ha
The Ls in LL theorem stand for?
legs
Which of the following are right triangle congruence theorems (Apex)?
HA, LA, HL, LL [APEX]
The LL theorem is a special case of the SSS or the postulate?
SAS
The LL theorem is a special case of the SSS or the?
SAS postulate or SSS postulate.
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why JKL QRS (Apex)?
LA and SAS [APEX]
What are right triangle congruence theorem?
1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
