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What is the scale factor of congruent figures?

In gemortry, CPCTC is the abbreviation of a therom involving congrugent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are proven congruent by: ASA, AAS, SSS, HL, or SAS, then all of their corresponding parts are congruent as well.Ifthen the following conditions are true:A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedrogen.


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


Complete the following sentence Triangles are congruent if they have the same?

The answer is size and shape. I just did the quiz and got it right.


If two triangles have three pairs of congruent angles the the triangle is congruent?

Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.


How do you divide a triangle into congruent triangles?

The following is a simple way to divided any triangle into n^2 congruent triangles (n > 1):Divide each side of the triangle into n equal parts,Select a pair of lines and join pairs of the above division marks with lines which will be parallel to the third side.Repeat step 2 with the other two pair of lines.


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.


Suppose you drew a diagonal in each of the following quadrilaterals rectangles trapezoid parallelogram. In which figures do triangles with a different size and shape form?

When you draw a diagonal in a rectangle or a parallelogram, it divides the shape into two congruent triangles, meaning both triangles are the same size and shape. In contrast, drawing a diagonal in a trapezoid results in two triangles that can differ in size and shape, as the bases of the trapezoid are unequal. Thus, different size and shape triangles form only in the trapezoid.


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


Which of the following quadrilaterals have diagonals that are congruent?

rectangle and parallelogram


Bisects WXY Which of the following is congruent to WXZ?

YXZ


What Is The Value Of X The Triangles Below Are Congruent With ABC DEF The Following Lengths Are Given In Centimeters AB X plus 1 AC X BC X plus 2 And DF 3x-8?

X is 4 cm.


Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz?

Transitive