n the diagram below, ABCD is a trapezium, AD||BC and AB⊥BC. The coordinates of D(0;1). The equation of the line BC is 2y-x+4=0   1.1. Determine 1.1.1. The coordinates of B. 1.1.2. The gradient of AB. 1.1.3. The equation of the straight line AB. 1.1.4. If θ is the angle of inclination of line AB, calculate the value of θ.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter2: Solving Linear Inequalities
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In the diagram below, ABCD is a trapezium, AD||BC and AB⊥BC. The coordinates of D(0;1). The equation of the line BC is 2y-x+4=0

 

1.1. Determine

1.1.1. The coordinates of B.

1.1.2. The gradient of AB.

1.1.3. The equation of the straight line AB.

1.1.4. If θ is the angle of inclination of line AB, calculate the value of θ.

 

1.2. E(12;y) is a point on BC produced

1.2.1. Determine the value of y 

1.2.2. Given that C is the midpoint of BE, calculate the coordinates of C.

 

1.3. Calculate the area of trapezium ABCD

(Note: Area of trapezium = ½×(sum of || sides)×height)

 

D(0:1)
Transcribed Image Text:D(0:1)
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