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How can proving two triangles congruent can help prove parts of the triangle congruent?
Wiki User
∙ 10y ago
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
Wiki User
∙ 10y ago
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What is congruent parts of congruent triangles are congruent?
Things that are the same size
Can two triangles be congruent with 5 pairs of congruent parts?
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.
A(n) of a triangle splits an angle of the triangle into two congruent parts?
angle bisector
Can a triangle be split into two equal right angled triangles?
no a triangle can not be slipt into equal parts.
How do you divide a flat hexagon into 6 equal parts?
Trace diagonals that connect opposite vertex through the center
If two triangles are not congruent do they have no congruent parts?
A triangle has 6 parts ... 3 sides and 3 angles. It's possible for two triangles to have as many as 3 of their parts congruent, and the triangles still not be congruent.
What is necessary when proving that the diagonals of a rectangle are congruent?
opposite sides are congruent corresponding parts of congruent triangles are congruent(apex)
What needs to happen before you can use the reason CPCTC in a geometric proof?
Before using Corresponding Parts of a Congruent Triangle are Congruent theorem (CPCTC) in a geometric proof, you must first prove that there is a congruent triangles. This method can be used for proving polygons and geometrical triangles.
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 is necessary when proving that the opposite sides of a parallelogram are congruent?
1. Opposite sides are parallel 2. Corresponding parts of congruent triangles are congruent
What does CPCTE stand for in geometry?
Corresponding parts of congruent triangles are congruent, perhaps some people use equal instead of 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.
Triangles that have their corresponding parts congruent?
Are congruent triangles.
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
What does CPCTC represent and when would you use it?
CPCTC represents Corresponding Parts of Congruent Triangles are Congruent. You would use this in Triangle Proofs.
What is c.p.c.t?
Corresponding Parts of Congruent Triangles is the full form od CPCT.
