Draw a line l, and take two point A and B on it. Through A and B, draw line L2 and L3 perpendicular to L1. On L2, mark a point C at a ditance 4cm from L1 and draw a line L4 parrallel to L1 through C. If L4 interect L3 at D , what type of quadrilateral i ABDC?

Question

23-12-2022
Mathematics

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Draw a line l, and take two point A and B on it. Through A and B, draw line L2 and L3 perpendicular to L1. On L2, mark a point C at a ditance 4cm from L1 and draw a line L4 parrallel to L1 through C. If L4 interect L3 at D , what type of quadrilateral i ABDC?

Answer :

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kumarravichandra kumarravichandra · Answer 1 · 2022-12-27T14:28:20-05:00

ABDC is a quadrilateral with two non-parallel sides. It has two pairs of opposite sides which are parallel. It is also known as a trapezoid.

ABDC is a four-sided figure with two pairs of opposite sides that are parallel. This type of quadrilateral is also known as a trapezoid. A trapezoid has two non-parallel sides, while the other two sides are parallel to each other. In this case, the two parallel lines are L1 and L4, while L2 and L3 are the two non-parallel sides. We can see that the point C on L2 is a distance of 4cm from L1, and L4 is a line that is parallel to L1 and passes through C. Finally, L4 intersects L3 at the point D, which completes the trapezoid ABDC.

The length of AB can be determined by using the Pythagorean Theorem. We know that the length of L1 is 8 cm, so the length of AB is 3 cm.

example

AB = √(8^2 - 4^2) = √64 - 16 = √48 = 6 cm

The length of BD can also be determined by using the Pythagorean Theorem. We know that the length of L2 is 4 cm, so the length of BD is 3 cm.

BD = √(4^2 - 4^2) = √16 - 16 = 0 cm

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Draw a line l, and take two point A and B on it. Through A and B, draw line L2 and L3 perpendicular to L1. On L2, mark a point C at a ditance 4cm from L1 and draw a line L4 parrallel to L1 through C. If L4 interect L3 at D , what type of quadrilateral i ABDC? ​

Answer :

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Draw a line l, and take two point A and B on it. Through A and B, draw line L2 and L3 perpendicular to L1. On L2, mark a point C at a ditance 4cm from L1 and draw a line L4 parrallel to L1 through C. If L4 interect L3 at D , what type of quadrilateral i ABDC?