Find the missing side length.
1 answer:
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Answer:
Step-by-step explanation:
By the Triangle Proportionality Theorem:
By cross-multiplication:
Distribute:
Subtract 12x from both sides:
Hence:
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Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
Cross multiply:
Distribute the '6':
Combine like terms and simplify:
Therefore, the length of CD is 3.
Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is:
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
