All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
yes.
There are three basic types of triangles. Equilateral triangles have three congruent (equal) sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the two angles opposite those sides are also congruent. Scalene triangles have no congruent sides or angles. Right triangles are another type of triangle and they have one ninety-degree angle. Right triangles can either be scalene or isosceles.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Absolutely. Any two congruent right triangles will form a rectangle, and if the right triangles are isosceles right triangles, they will form a square.
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.
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
yes.
There are three basic types of triangles. Equilateral triangles have three congruent (equal) sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the two angles opposite those sides are also congruent. Scalene triangles have no congruent sides or angles. Right triangles are another type of triangle and they have one ninety-degree angle. Right triangles can either be scalene or isosceles.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Absolutely. Any two congruent right triangles will form a rectangle, and if the right triangles are isosceles right triangles, they will form a square.
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.
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
The triangles are also congruent.
If the triangles are congruent and you match the hypotenera the right way, you can get a rectangle. If the triangles are not congruent, you can't even necessarily get a quadrilateral.
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.
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.