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What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
Do all right triangles have two or more congruent angles?
yes.
What are all of the types of triangles?
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 congruent diagonals each of which divides the figure into two congruent isosceles right triangles?
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Can all 4 sided shape be made by two right angled 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.
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 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.
Which are congruence theorems for right triangles?
If the hypotenuse and a leg of two right triangles are the same measure, the triangles are congruent
Does a triangle have 2 congruent sides?
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.
What is a paralellogram with all sides congruent?
A rhombus if it has no right triangles, and a square if all the angles are right. The basic answer is a rhombus or square.
The LA theorem says that two right triangles will be congruent if they have a congruent?
leg
The LAtheorem says that two right triangles will be congruent if they have a congruent and a congruent leg?
The leg-angle congruence theorem says if one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
To use the HL theorem to prove two triangles are congruent the triangles must be right trianglesWhich other conditions must also be met?
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
The vertical cross-sectional shapes of this prism are all congruent triangles.?
A right triangular prism.
The HA theorem requires that two right triangles have a congruent angle and a congruent?
hypotenuses
Is all squares can be cut in half to make 2 congruent triangles a generalization?
no its an emphatic statement all squares can be cut in half to make 2 congruent isosceles right triangles is perhaps as general a statement as is possible
Why are congruent triangles similar?
Congruent triangles are the same because all three sides measure the same length.
