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Readme [11.4K]
3 years ago
6

How do you prove this using a two-column proof format?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

I'm not sure if you need the answer or just the steps to start, so I will just give u the steps. First, just take a step back and take it one step at a time. Once you have an idea of how the two triangles are congruent, make 2 columns, one with statements and one with reasons. On the statements side, put given information and what you learn along the way, like if it is given x=y, and y=z, then what you can put down after that is x=z. On the reasons side, put the properties or formulas you used to reach your solution. For instance, if x=y and y=z, x=z by the Transitive property of equality. Proofs are time consuming, tedious and utterly frustrating. Just take it slowly and you will be fine.

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The midpoint of \overline{\text{AB}}
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Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of \overline{\text{AB}} as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

\displaystyle x_m=\frac{x_a+x_b}{2}

\displaystyle y_m=\frac{y_a+y_b}{2}

We know xa=-3 and xm=-5. Solve the first equation for xb:

2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a

Substituting:

x_b=2\cdot (-5)-(-3)=-10+3

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We can solve the second equation for xb and get:

y_b=2y_m-y_a

Since ya=4 and ym=-2, then:

y_b=2\cdot (-2)-(4)=-4-4

y_b=-8

Thus, the coordinates of b are: B=(-7,-8)

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What is the measure of &lt;DCF
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