ILL GIVE A MEDAL
Natalie is completing a construction of an equilateral triangle inscribed in a circle as shown below. What should be the next step in her construction?
A circle is drawn with a radius marked.
Construct a line perpendicular to the line AB to create four congruent quadrants.
Construct six equal sections around the circle using the original radius as a guide.
Construct another point C anywhere on the circle to be the third vertex of her triangle.
Draw arcs above and below line AB to show where the triangle sides meet.

- anonymous

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- anonymous

I think it's B but I'm not too sure. It's been awhile since I've done constructions.

- anonymous

i was thinking D o.o

- anonymous

Um... Hold on, I still might have my notes from last year when I took Geometry.

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- anonymous

Here is what my notes said...
Steps for the Equilateral Triangle Inscribed in a Circle
First I made a point to start my circle. Then I grabbed the compass and put the end on the dot and adjusted the size bigger so I can have a good work space, I swung the compass all the way around and made a big circle. Then I made sure the compass was still in the middle and I measured it to on part of the circle so I would have the radius. I placed the end on a random spot on the circle, and without changing the size of teh compass, I made an arch upward, then put the end of teh compass on the intersecting point of the newly made arc where the arc eets the circle and made another arc from that without changing the sice. I kept making arches until I had six of them. The I took my pencil and drew a diagnoal line from one of the intersecting points on the circle, skipping every other one until I had made three lines that formed a triangle. That left me with an equilateral triangle inscribed in a circle.

- anonymous

So it's B.

- anonymous

awesome thanks :)

- anonymous

can you help with another?

- anonymous

You're welcome :)
Sure, I'll try.

- anonymous

Which of these is a step in constructing an inscribed equilateral triangle using technology?
Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.
Create circle A with point B on the original circle.
Create circle E, which passes through points A and C.
Draw point E anywhere on segment DB.

- anonymous

im so lost on this one

- anonymous

any ideas? @HMT

- anonymous

I think it's B again because when you're making a triangle inscribed in a circle, you're not labeling anything.
See...

##### 1 Attachment

- anonymous

hum... imma agree B does seem right. and i have another one. if you can still help

- anonymous

Okay

- anonymous

Which of the following is the final step in bisecting an angle?
Mark the intersection point of the two arcs, and draw a ray from the vertex through this intersection point.
Mark the intersection points of the rays and arc.
Place the compass on one of those intersection points, and draw an arc inside the angle.
Swing an arc that intersects both rays of the angle.

- anonymous

was thinking D but not sure o.o

- anonymous

I know what the last step is if I draw it but I don't know how to put it into words o_o

- anonymous

|dw:1441906883258:dw|

- anonymous

once again im thinking B explains it, what do you think most explains this? lol

- anonymous

To be completely honest, I have no idea lol Proabbly either B or C since C does mention something about being inside the cricle, but I don't know.

- anonymous

hum, ill have to guess on its then and hope for the right one and i has another :p im not that great on this sorry.

- anonymous

Michael is using a drawing program to complete a construction. Which construction is he completing?
A circle is drawn with two perpendicular lines constructed inside.
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle

- anonymous

|dw:1441907375548:dw|

- anonymous

thats the picture it gives me

- anonymous

any ideas? @HMT

- anonymous

Sorry, I was starving so I went and ate something lol.
Umm.... I'm not sure, give me a minute.

- anonymous

alrighty, and its cool m8 :)

- anonymous

I think it's a hexagon, so but I'm not entirely sure.

- anonymous

*so D

- anonymous

hum, i was thinking A maybe

- anonymous

It's either A or D. I googled pictures of what they looked like for this one but I can't tell the difference. Whichever one you think.

- anonymous

imma go with A thanks m8 :) I might have more questions if my mom makes me do more if you can hang out for a minute

- anonymous

No worries. Just tag me if you need me to help again.

- anonymous

And you're welcome :)

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