Question

please help me with geometry

Answer 1

Now that you know how to prove a theorem, it's time to do it completely on your own. Select two line and angle proofs from the left column and two triangle proofs from the right column to prove.

You may prove each theorem using either a two-column, paragraph, or flow chart proof. No matter the type of proof you choose, it must demonstrate a logical progression from one step to the next.

For each proof, you will need to create and submit to your instructor the initial, or given, figure: lines, segments, angles, or triangles. You may do this by hand or using technology. Select a proof to receive directions on how to create the initial figure using GeoGebra and a reminder as to what you are trying to prove.

Answer 2

Line and Angle Proofs
(Choose two)

Vertical Angle Theorem

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Equidistance of a Point on a Perpendicular Bisector
Triangle Proofs
(Choose two)

Triangle Sum Theorem

Isosceles Triangle Theorem

Converse of the Isosceles Triangle Theorem

Midsegment of a Triangle Theorem

Concurrency of the Medians of a Triangle

Answer 3

So, you are doing 4 proofs here?

Answer 4

i need to do two line/angle proofs and two triangle proofs

Answer 5

i can do them either as a flow chart, paragraph or table

Answer 6

Post each proof in a separate thread.

For your first proof, I recommend you choose this one:

Vertical Angle Theorem

Don't choose the second, third, and fourth ones now. Choose one at the time.

Answer 7

So, see what this means:
Select a proof to receive directions on how to create the initial figure using GeoGebra and a reminder as to what you are trying to prove.

We need that to know how to format this. I think the 2-column proof will be good.

Of course, it is your decision.

Answer 8

i think two column proofs are the easiest so lets go with that

Answer 9

Vertical Angle Theorem

Create two lines that intersect at a point.

Use the Line through Two Points button image of Line through Two Points button to create the first line. Select the button and then any two locations in the Graphics View.
Use the same button, and the same procedure to create the second line. Make sure the two lines intersect.
Use the Intersect Two Objects tool image of Intersect Two Objects button to mark the point of intersection between the two lines.
Right-click on any point or line and select Object Properties to change its name, size, or color.

If you’d like to add other features to your figure such as angles, feel free to do so but it is not required. If you need to adjust the position of labels or an object after they are drawn, use the Move button iimage of Move button. To shift the entire viewing window to see a different area of the figure on the drawing pad, select the Move Graphics View button image of Move Graphics View button. To delete any part of your figure, select the Delete toolimage of Delete Objects button.
Text Version

Prove that vertical angles are congruent.

If you add angles to your figure, you cannot prove vertical angles are congruent by using the technology as a reason. You must prove the theorem using only constructions that can be completed using a compass and straightedge or other theorems or postulates.

Answer 10

you can either create the 'given' by hand or by using geogebra

Answer 11

I don't know Geogebra.

I had in mind that we would prove the theorem by hand.

Answer 12

that is fine. geogebra can be hard to use sometimes