Question

a. Based on the picture, what properties can you be sure this figure has? Think about angles, lines, and points.
b. Does ray l bisect ∠ABC? Explain your thinking.
c. What would you need to do to prove that ray l bisects ∠ABC?

Answer 1

The angle measures ABD = 45, DBC = 45 and ABC = 90 imply that ray l bisect ∠ABC?

The properties of the figure

From the figure, we have the following highlights:

• The lines AB and BC are perpendicular lines i.e. the angle at B =90
• Ray I bisects the angle ABC (because 45 + 45 = 90)
• Angles ABD and DBC are adjacent angles

This means that the points ABC can be joined to form a right triangle

Does ray l bisect ∠ABC?

Yes, it does.

This is so because it divides the angle ABC into equal segments.

i.e.

ABC = 90

DBC = 45

So, we have

ABD = 90 - 45

ABD = 45

The angle measures ABD = 45, DBC = 45 and ABC = 90 imply that ray l bisect ∠ABC?

What would you need to do to prove that ray l bisects ∠ABC?

You would need the measures of ABC and ABD

Read more about rays, angles, lines, and points at

https://brainly.com/question/14366932

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