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To use the HL theorem to prove two triangles are congruent the triangles must be right trianglesWhich other conditions must also be met?
Wiki User
∙ 11y ago
1. There are two right triangles.
2. They have congruent hypotenuses.
3. They have one pair of congruent legs.
Wiki User
∙ 11y ago
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What theorem or postulate can be used to justify that the two triangles are congruent?
Pythagorean theorem
The LA theorem says that two right triangles will be congruent if they have a congruent?
leg
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 HA theorem requires that two right triangles have a congruent angle and a congruent?
hypotenuses
The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
How does sas theorem answer?
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
What is the hl theorem?
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.
What theorem or postulate can be used to justify that the two triangles are congruent?
Pythagorean theorem
Postulate that states triangles are congruent if all sides from the triangles are congruent?
That's not a postulate. It's a theorem. And you have stated it.
The LA theorem says that two right triangles will be congruent if they have a congruent?
leg
What is the theorem that proves triangles congruent?
law of congruency
What is the scale factor of congruent figures?
In gemortry, CPCTC is the abbreviation of a therom involving congrugent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are proven congruent by: ASA, AAS, SSS, HL, or SAS, then all of their corresponding parts are congruent as well.Ifthen the following conditions are true:A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedrogen.
To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?
The two legs must be corresponding sides.
What is side angle side theorem?
It is a congruence theorem for triangles. It states that if you have two triangles in which two sides of one are congruent to two sides of the other, and the angles included by the sides are equal, then the triangles are congruent.
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 HA theorem requires that two right triangles have a congruent angle and a congruent?
hypotenuses
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.
