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What is the hypotenuse leg therom?
If two right triangles have the hypotenuse and leg of one equal respectively to the hypotenuse and leg of the other, then the triangles are congruent.
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
What is the hypotenuse angle theorem?
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
What postulate or theorem can you use to prove triangles are congruent?
Two triangles are congruent if they satisfy any of the following:-- two sides and the included angle of one triangle equal to the corresponding parts of the other one-- two angles and the included side of one triangle equal to the corresponding parts of the other one-- all three sides of one triangle equal to the corresponding parts of the other one-- they are right triangles, and hypotenuse and one leg of one triangle equal to thecorresponding parts of the other one-- they are right triangles, and hypotenuse and one acute angle of one triangle equalto the corresponding parts of the other one
Is sss a way to find if triangles are similar?
Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.When two triangles have corresponding sides with identical ratios, the triangles are similar.Of course if triangles are congruent, they are also similar.
