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lozanna [386]
2 years ago
13

Name the three different types of proofs you saw in this lesson. Give a description of each.

Mathematics
1 answer:
Colt1911 [192]2 years ago
6 0

You already have the answer. It is "One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof." which looks correct to me.

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<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%7D%20%3A%20" id="TexFormula1"
Lubov Fominskaja [6]

Answer:

See Below.

Step-by-step explanation:

We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.

Segments BO and CO bisects ∠ABC and ∠ACB.

And we want to prove that ΔBOC is an isosceles triangle.

Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.

And since ∠ABC = ∠ACB, this implies that:

∠ABO = ∠CBO =∠ACO = ∠BCO.

This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.

So, we know that:

\angle ABC=\angle ACB

∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:

\angle ABO+\angle CBO =\angle ACO+\angle BCO

Since ∠ABO =∠ACO, by substitution:

\angle ABO+\angle CBO =\angle ABO+\angle BCO

Subtracting ∠ABO from both sides produces:

\angle CBO=\angle BCO

So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.

7 0
3 years ago
Read 2 more answers
What is the slope of the line through the points,<br> (-4,2) &amp; (5,-1)
Korolek [52]

Answer:

-1/3

Step-by-step explanation:

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}

8 0
3 years ago
Reduced to lowest terms.<br> 44 nickels to 11 dimes
Finger [1]

Answer:

4 nickels to 1 dime

Step-by-step explanation:

the steps are in the pic above I gotta get this to 20 characters bye!

3 0
3 years ago
Read 2 more answers
#21, what is this answer ?
Rzqust [24]

Answer:

uh C

Step-by-step explanation:

5 0
3 years ago
In a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lo
Bumek [7]
What are the answers?
4 0
2 years ago
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