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Because ALL triangles total 180o...
Yes, a parallelogram or a rhombus would fit the given description.
It is a rhombus that fits the given description.
Hl & ha
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';
congruent
Because ALL triangles total 180o...
(1) vertical angles, (2) congruent triangles
Yes, a parallelogram or a rhombus would fit the given description.
Given two sets of angles and the included side congruent, we seek a sequence of rigid motions that will map Δ_____onto Δ___ proving the triangles congruent.
Corresponding
It is a rhombus that fits the given description.
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).
Hl & ha
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';
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.
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.