It is not an axiom, but a theorem.
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
If a triangle has the same 3 sides and the same 3 angles as another triangle then they are said to be congruent.
All triangles have angles, so an angled triangle is simply a triangle. Nothing more, nothing less!
Yes because all angles in any triangle add up to 180 degrees.
1 triangle = 3 angles. 8 triangles = 8*3 = 24 angles!
I am guessing you are interested in triangles. Here are two false triangle congruence theorem conjectures.1, If the angles of one triangle are equal respectively to the angles of another triangle, the triangles are congruent. ( abbreviated AAA).2. If two sides and one angle of a triangle are equal respectively the two sides and one angle of another triangle, the triangles are congruent. (abbreviated SSA)Comment: Draw triangles with pairs of equal sides but in which the included angle between the equal sides is acute in one case and obtuse in the others.
If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
Equilateral Triangle
The triangles are similar.
The AA similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This theorem is based on the Angle-Angle (AA) postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
No you cannot make a triangle with two right angles. In all triangles the sum of the angles is always 180°. Also all triangles have three angles. If there are two right angles, you already have 180° and cannot have another angle to complete the triangle.
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
If a triangle has the same 3 sides and the same 3 angles as another triangle then they are said to be congruent.
All triangles have angles, so an angled triangle is simply a triangle. Nothing more, nothing less!
Yes because all angles in any triangle add up to 180 degrees.
If ll the angles of one triangle are the same as the angles of another triangle they are similar. Rotation is always allowed and mirroring often can be allowed.