Carla and Jonah are working together to determine if quadrilateral CDEF with coordinates C(2, 3), D(1, 2), E(4, 1), and F(5, 3)
has a right angle.
Carla sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment DE equals 1 minus 2 all over 4 minus 1
Jonah sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment EF equals 3 minus 1 all over 5 minus 4 Who is on track to get the correct answer and why?
A.)Carla is on the right track because she is finding the slopes of the opposite sides to check for right angles.
B.)Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.
C.)Jonah is on the right track because he is finding the slopes of the opposite sides to check for right angles.
D.)Jonah is on the right track because he is finding the slopes of consecutive sides to check for right angles.
Carla sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment DE equals 1 minus 2 all over 4 minus 1
Jonah sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment EF equals 3 minus 1 all over 5 minus 4 Who is on track to get the correct answer and why?
A.)Carla is on the right track because she is finding the slopes of the opposite sides to check for right angles.
B.)Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.
C.)Jonah is on the right track because he is finding the slopes of the opposite sides to check for right angles.
D.)Jonah is on the right track because he is finding the slopes of consecutive sides to check for right angles.
2 answers:
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Answer:
Step-by-step explanation:
Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:
For a:
For b:
For c calculate the square of a sum:
(add like terms) c:
For d: