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☆☆☆☆☆perpendicular lines are lines that MEET at right angles (90 degrees). Skew lines are lines that dont meet at all. Even though the gradients of two skew lines can multiply to be -1 (a property of perpendicular lines) They will not really be perpendicular as they don't accually meet. This can occur when the lines are in different planes.
The measures of two adjacent interior angles sum to 180 because they form a linear pair.
B. False
if its September its your birthday
true
Supplementary angles forms a 180o angle (or a straight line). Complementary angles form a 90o angle.
A and B, B and C, C and D, D and A, are all supplementary pairs.
The figure has no complementary pairs of angles.
If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,
If a graph passes the vertical line test, then it is a graph of a function. (True)
If a graph is not a graph of a function, then it will not pass the vertical line test. (True)
Yes, but only if the original if-then was true.
The converse of the statement "If it is summer, then it is warm outside' would be if it is warm outside then it is summer.
What isn't the inverse of this statement(?)
a condtional statement may be true or false but only in one direction
a biconditional statement is true in both directions
If I do not like Math then I do not like Science.
The sum of the 4 internal angles of a quadrilateral must sum to 360° (go look up the proof of this elsewhere).
For the sake of argument, let's call the 4 internal angles of a quadrilateral A, B, C, and D.
If they were all obtuse, then (by definition):
180° > A > 90°
180° > B > 90°
180° > C > 90°
180° > D > 90°
If you add them all up, you find that for the sum of the angles A+B+C+D
720° > A + B + C + D > 360°
but, A+B+C+D = 360°,
Since the assumption produces a result that contradicts this, the assumption cannot be true.
Q.E.D.
Inverse (Tested)
The area of a square is 25 square meters if and only if the side length of the square is 5 meters
The answer is false
True. In that case, each of the statements is said to be the contrapositive of the other.
The real answer is Bc . Hate these @
Figure B
An integer n is odd if and only if n^2 is odd.
