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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.
A point.
The measures of two adjacent interior angles sum to 180 because they form a linear pair.
B. False
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True
It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an odd number, then 9 is not divisible by two. The first part is false and the second part is true so it is false. The original statement is if p then q,the contrapositive is if not q then not p and the converse of that is if not p then not q
A midpoint is a point that divides a segment into two congruent segments. A angle bisector is a ray that divides an angle into two congruent angles.
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.
What isn't the inverse of this statement(?)
A, B and C
In a two-column proof, it is true that the left column states your reasons.
A. Flowchart proof
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.
FALSE
The real answer is Bc . Hate these @
An integer n is odd if and only if n^2 is odd.
true
