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Q: A right triangle with two congruent legs is always a 45 45 90 triangle?
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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.


What are the two congruent sides of an isosceles triangle called?

legs of an isosceles triangle


Is a triangle with two congruent legs always a 45-45-90 triangle?

No. The triangle is an isosceles triangle and the angle between the equal sides can be any angle greater than 0° and less than 180°.


What is LL Congruence Theorem and give example?

"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:


What is the Converse of isosceles triangle theorem?

The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.

Related questions

Two right triangles are congruent if the legs of one triangle are congruent to the legs of the other triangle?

true


Is right triangles with 2 congruent legs is always a 454590 triangle?

Yes if you mean in degrees


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.


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.


Why does the LL theorem hold for proving right triangles congruent?

That's only true if the "legs" are indeed legs, i.e. the triangle is a right triangle, and the legsinclude a 90-degree angle.


Can the legs of a right triangle cannot be congruent to any of the altitude?

False! Objection! No! :P ~


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.


What are the four congruence theorem for right triangle?

four types aressssasrhsasa1.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.


The congruent sides of an isosceles triangle?

the legs


Can you show how a right triangle has one line of symmetry?

the only way for a right triangle to have a line of symmetry, is if the legs of the triangle are congruent. Or you can show that both non-right angles are congruent (45 degrees). you may also prove that the altitude of the triangle bisects the hypotenuse or that it equals 1/2 of the hypotenuse.


What is the name of Congruent legs of an isosceles triangle?

Sides.


What are the two congruent sides of an isosceles triangle called?

legs of an isosceles triangle