angle bisector
When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles. Thank you for asking
Things that are the same size
Two triangles are congruent if the six elements of one triangle (three sides and three angles) are equal to the six elements of the second triangle and the two triangles have a scale factor of 1. However, in four special cases it is only necessary to match three elements to prove that two triangles are congruent. The matching of four elements is sometimes necessary, and the matching of five elements would put the matter beyond any doubt.
Construct a 90 degree angle isosceles triangle which will have equal sides and then divide the base into 9 equal parts joining the parts by lines to the apex of the trangle. Each line represents 10 degrees and 8 lines will equal to 80 degrees.
no a triangle can not be slipt into equal parts.
An angle bisector.
hi felicia
It splits one side of the triangle into two congruent parts.
a perpendicular line.
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
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.
That will depend on what type of triangle it is as for example if it is an isosceles triangle then it will form two congruent right angle triangles.
You need SAS (side angle side), SSS (side side side), ASA (angle side angle), AAS (angle angle side) or CPCTC (corresponding parts of congruent angles are congruent)
Yes. if triangle ABC maps to triangle A'B'C'. then AB = A'B', BC = B'C' and AC = A'C'. By SSS, triangle ABC is congruent to triangle A'B'C'. Since corresponding parts of congruent triangles are congruent angle A = angle A'. The correct spelling of the term for a length preserving transformation is "isometry" not "isometery".
Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)
The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
The theorem is best described "If the hypotenuse and an acute angle of a right triangle are equal respectively to the corresponding parts of another right triangle, then the triangles are congruent."