is ab perpendicular to cd explain?
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Is ab perpendicular to cd? Explain. Yes, because the slope of ab is 5/3 and the slope of cd is -3/5. Yes, because the slope of ab is 4/3 and the slope of cd is -3/4.
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The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC.
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in the given figure, AB and CD are two equal chords of a circle, with the center O. IF P is the mid-point of chord AB . Q is the mid- point of chord CD and ∠POQ=150∘,findthe∠APQ.
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The slope of two perpendicular lines are negative reciprocals of each other. That means that you flip the fraction upside down and take the opposite of it.
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Call the point where A and B meet C and the point where B and A meet D. ... They are points, not vectors.) Thus you are looking at the diagonals |A + B| and |CD|. Note that A + CD = B so vector CD = B - A, so the diagonals are clearly not equal in general.
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Video Explanation Since the opposite sides of a parallelogram are equal, the distance between C and D is also 4. Also, the y-coordinates of A and B are equal, the side AB is parallel to the x-axis. And, since ABCD is a parallelogram, CD is also parallel to the x-axis. ... Hence, the coordinates of D are (4, 5).
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In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.
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In Fig. 10.42,AB is a diameter of the circle,CD is a chord equal to the radius of the circle.AC and BD when extended intersect at point at E. Prove that ∠AEB = 60 degree . In Fig.
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If the dot product two vectors is 0, they are orthogonal; in other words, they are perpendicular. ... (Recall: two vectors that are orthogonal (perpendicular) form a right angle θ=π/2=90∘.)
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Perpendicular lines have opposite reciprocal slopes. Both these lines have reciprocal slopes to the slope of 7 in the original equation, but only the first line is the opposite reciprocal.
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Unit vectors point in the direction of a vector and a normal vector is perpendicular to a vector.
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In a triangle ABC, AD is perpendicular to BC, prove that AB^2+ CD^2 =AC^2+BD^2. Equate (1) and (2) as both are AD^2. AB^2+CD^2 = AC^2+BD^2. Proved.
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If one geometric shape is congruent to a second, and the second is congruent to a third, then the first shape is congruent to the third. ... If segment AB is congruent to segment CD and segment CD is congruent to segment EF,then segment AB is congruent to segment EF. If A=B and B=C, then A=C.
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Two vectors A and B are perpendicular if and only if their scalar product is equal to zero. ... The condition for two vectors A = (Ax , Ay) and B = (Bx , By) to be parallel is: Ax By = Bx Ay.
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Correct answer: The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.
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If line segment AB is congruent to line segment CD, then line segment CD is congruent to line segment AB. ... If two angles form a linear pair, then there are supplementary angles. Complement Theorem. If the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles.
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Two vectors u = (a,b) and v = (c,d) in a coordinate plane are perpendicular if and only if their scalar product a*c + b*d is equal to zero: a*c + b*d = 0. ... Since the scalar of the vectors u and v is zero, these vectors are perpendicular.