Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed
1 answer:
Answer:
Step-by-step explanation:
Given that Alejandra correctly wrote the equation
to represent a line that her teacher sketched.
This is in point slope form.
Hence the line passes through (3,10) and slope = 1
Now it is given that the teacher then changed the line so it had a slope of 2, but still went through the same point
Using point slope formula we get
is the equation for the same point with slope =2
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Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB =AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.