Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coo
rdinates as given.
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
2 answers:
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Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of
and
Now the resultant of these vectors will be = A + A'
A + A' = +
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
Answer:
3u - 2v + w = 69i + 19j.
8u - 6v = 184i + 60j.
7v - 4w = -128i + 62j.
u - 5w = -9i + 37j.
Step-by-step explanation:
Note that there are multiple ways to denote a vector. For example, vector u can be written either in bold typeface "u" or with an arrow above it . This explanation uses both representations.
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There are two components in each of the three vectors. For example, in vector u, the first component is 11 and the second is 12. When multiplying a vector with a constant, multiply each component by the constant. For example,
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So is the case when the constant is negative:
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When adding two vectors, add the corresponding components (this phrase comes from Wolfram Mathworld) of each vector. In other words, add the number on the same row to each other. For example, when adding 3u to (-2)v,
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Apply the two rules for the four vector operations.
<h3>1.</h3>Rewrite this vector as a linear combination of two unit vectors. The first component 69 will be the coefficient in front of the first unit vector, i. The second component 19 will be the coefficient in front of the second unit vector, j.
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