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If you are given or can prove that two triangles are congruent then you may use CPCTC to prove that the angles or sides are what?

If two triangles are proven to be congruent, then corresponding parts of those triangles are congruent as well. This principle is known as CPCTC, which stands for "Corresponding Parts of Congruent Triangles are Congruent." Therefore, you can conclude that the corresponding angles and sides of the two triangles are equal in measure.


When working with congruent triangles why is it only necessary to be given two pairs of congruent angles to know that all three pairs of angles will be congruent?

Because ALL triangles total 180o...


what- given: maj?

(1) vertical angles, (2) congruent triangles


Is a shape split into two congruent triangles with different base angles a parallelogram?

Yes, a parallelogram or a rhombus would fit the given description.


What is the name given to matching parts of congruent triangles?

Corresponding


Are all isosceles triangles with two 50 degrees angles and exactly one side length 10cm congruent?

Yes, all isosceles triangles with two angles measuring 50 degrees and one side length of 10 cm are congruent. In such triangles, the two equal sides must be determined using the Law of Cosines or basic trigonometric relationships, leading to a unique triangle configuration based on the given angle and side length. Since the angles are fixed and the base is constant, all such triangles will be identical in shape and size.


What shape has 2 congruent parallel sides 2 congruent acute angles 2 congruent obtuse angles?

It is a rhombus that fits the given description.


Given two angle and side opposite one of them?

If two angles and the side opposite one of them in one triangle are equal to one side and two similarly located angles in a second triangle then the two triangles are congruent. (The triangles are exactly the same shape and size as each other).


Assume you are given two right triangles with congruent hypotenuses and wish to show that they are congruent what denote a congruence thereom for right triangles may be of use?

Hl & ha


A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel prove?

A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';


Are two angles with corresponding congruent angles congruent?

It doesn't imply they are congruent. However it doesn't mean they are not either. Not enough information has been given to establish their congruence.


Assume you are given two right triangles with congruent hypotuneses and wish to show that they are congruent Which congruence theorem for right triangles that may be of use?

The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.