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A perpendicular bisector of a triangle splits what into two congruent parts?
It splits one side of the triangle into two congruent parts.
What does side angle side mean?
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...
Can two scalene triangles not be congruent but have 5 congruent parts?
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
In an isosceles triangle does the median to the base bisect the vertex angle?
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
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
A(n) of a triangle splits an angle of the triangle into two congruent parts?
angle bisector
An blank of a triangle splits an angle of the triangle into two congruent parts?
hi felicia
A perpendicular bisector of a triangle splits what into two congruent parts?
It splits one side of the triangle into two congruent parts.
What of a triangle can split an angle of the triangle into two congruent parts?
a perpendicular line.
What does side angle side mean?
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...
What is the triangle equality 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.
What does a perpendicular bisector of a triangle split into two congruent parts?
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.
What additional information is necessary to prove triangle and and triangle CNN congruent by the HL theorem?
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)
Does isometery preserve angle measure?
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".
How can you prove a triangle ABC is isosceles if angle BAD is congruent to angle CAD and line AD is perpendicular to line Bc?
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)
What are the four congruence postulates?
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.
Which of these best describes the hypotenuse-angle theorem?
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."
