Answer:
Angle = A
A7 = A4 (Alternate interior angles)
A14 = A11 (Vertically opposite angles)
A11 = A6(Corresponding angles)
A4 = A14 (Given)
From this, we can get A6 = A4
A6 and A4 are alternate angles and are equal. So c and d are parallel.
A7 + A10 = 180 (Linear pair of angles) - ( 1 )
A13 = A10(Alternate interior angles)
Putting A13 in place of A10 in ( 1 ),
A7 + A13 = 180
Hence proved
Ask doubts if any
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The difference between congruent and similarity can be understood through the world of mathematics. Shape, proportion and angles all play their part in defining these two words.
Congruent shapes have identical measurements and coincide with each other when superimposed. Two congruent objects are the same size and shape, but their orientation or placing in a space can be different. This does not change the fact that they are the same because they possess the same physical properties, the same angles as well as the same measurements.
Similarity means closely resembling each other but not quite the same. Mathematically a shape can be similar in its basic shape, a circle for example, but different in size. The difference in size aspect means that a similar shape can never be congruent.
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Answer:
E (10)
Step-by-step explanation:
In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:
so 5√2 * √2 = 10
ANSWER: 10 or E