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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...
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 shape has 2 congruent parallel sides 2 congruent acute angles 2 congruent obtuse angles?
It is a rhombus that fits the given description.
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';
what- 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?
congruent
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
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
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.
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';
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.
What is a quadrilateral with all sides congruent and all angles congruent is?
A square would fit the given description.
