SOLUTION: construct a kite ABCD with < CAB=45 degrees,AB=7cm and < CBA= 90 degrees

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Question 951624: construct a kite ABCD with < CAB=45 degrees,AB=7cm and < CBA= 90 degrees
Answer by MathLover1(20850) About Me  (Show Source):
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to construct a kite ABCD with < CAB=45 degrees,AB=7cm and < CBA=+90} degrees, first
Kite properties include:
(1) two pairs of consecutive, congruent sides,
(2) congruent non-vertex angles and
(3) perpendicular diagonals
The intersection of the diagonals of a kite form 90 degree (right) angles. This means that they are perpendicular.
The longer diagonal of a kite bisects the shorter one. This means that the longer diagonal cuts the shorter one in half.
1. draw a line segment AB=7cm-the shorter diagonal of a kite
2. at point A, construct < 45,
3.at point N, midpoint ofAB a perpendicular line to segment AB
4. intersection of line segment of < 45 from point A and a perpendicular line to segment AB , mark as point C, connect it with B
5.at point B construct < 90 degree so that half id down from a line segmentAB( < 45) and half is up
since at point B down from a line segmentAB we have < 45, extend the angle arm from point B until intersect with a perpendicular diagonal to AB and there will be a point D, then connect D and A