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# Geometry

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1. Suong is constructing the inscribed circle for △RST. She has already constructed the angle bisector of angle T.

Which construction is a correct next step for Suong?

Construct the angle bisector of angle R.

Construct the line that passes through the intersection of the angle bisector and RS¯¯¯¯¯such that the line is perpendicular to TS¯¯¯¯¯.

With the compass open to the width of RS¯¯¯¯¯, draw a circle centered at point T.

Construct the perpendicular bisector of TS¯¯¯¯¯.

2.Chaz is constructing the circumscribed circle for △JKL.

Which construction is a correct next step for Chaz?

Construct the angle bisector of ∠J.

Open the compass to the width of JL¯¯¯¯¯and draw a circle centered at point K.

Construct the perpendicular bisector of JL¯¯¯¯¯.

Open the compass to just more than half the width of JL¯¯¯¯¯and draw a circle centered at point K.

3.Given: ABCD is an inscribed polygon.

Prove: ∠A and​ ∠C ​are supplementary angles.

4.

P.S. I apologize for having so many questions. I'm trying to pass geometry with all my hearts desire, but they won't teach the lessons properly which messes up the learning process for everyone in my class.

Mar 22, 2018
edited by Guest  Mar 22, 2018
edited by Guest  Mar 22, 2018

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1.  Construct the angle bisector of angle R.

Here's  a procedure describing this  :

http://www.mathsisfun.com/geometry/construct-triangleinscribe.html

2. Construct the angle bisector of ∠J.

Here's a procedure for this, too :

https://www.mathsisfun.com/geometry/construct-trianglecircum.html

3.  Inscribed Angle Theorem

The sum of arcs that make a circle  = 360 degrees

Division Property of Equality

Definition of Supplementary Angles

4.   theta / 360

theta / [ 2pi ]

Good luck...I had a lousy Geometry teacher in high school, too....most of the Geometry I know  I learned on my own....

Mar 22, 2018
edited by CPhill  Mar 22, 2018