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Question:
13.) Write a Paragraph proof ( Thanks!!)
Given Line BC = Line EC and Line AC = DC Line
Prove Line BA= Line ED
Answer:
An angle is an undefined term in plane geometry.
- The vertex of
is B - The sides of are BC and BD
- Another name for is .
- is a right angle
- is an obtuse angle
- is a straight angle.
Vertex of
The vertex of an angle is the point where the rays that form the angle meet.
From the diagram, rays BE and BA meet at point B to form .
Hence, the name of the vertex is B
Sides of
The sides of an angle are the rays or sides that form the angle
is formed by rays BC and BD
Hence, the sides are BC and BD
Another name for
An angle can be named by combining the sides and the vertex.
The sides of are DB and BE, while the vertex is B
This means that rays DB and BE meet at point B
Hence, another name is
Classify the angles
Angles are classified based on the measure
is a right angle, because
is an obtuse angle because is greater than but less than
is a straight angle, because
Angle bisector
The line or ray that divides an angle into equal halves is an angle bisector.
Ray BE is an angle bisector, because it divides into two equal halves.
Find
We have:
is calculated using:
Find
is calculated using:
Where
So, we have:
Collect like terms
Divide both sides by 2
Read more about angles at:
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