A parallelogram's top left vertex is given as upper A, its top right vertex is given as upper B, its bottom left vertex is given as upper D, and its bottom right vertex is given as upper C. A diagonal line connects upper B and upper D.
In the diagram, AD¯¯¯¯¯¯¯¯=13 and DB¯¯¯¯¯¯¯¯=24 . Use the CPCTC Theorem to prove that the diagonal of the rhombus bisects opposite angles by finding the length of DC¯¯¯¯¯¯¯¯ . What is the length of DC¯¯¯¯¯¯¯¯ ?
(1 point)
Responses
13
13
5
5
24
24
12
12
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1 answer
To find the length of \( DC \) in the given parallelogram ABCD, we can use the fact that in a parallelogram, opposite sides are equal in length.
Given:
Since \( AD \) is equal to \( BC \) and \( AB \) is equal to \( DC \), we can conclude:
Thus, \( DC = 24 \).
So the length of \( DC \) is 24.
