If m(10, 2) is the midpoint of the line segment ab, and if a has coordinates (0, −2), find the coordinates of
1 answer:
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Answer:
A
Step-by-step explanation:
We know that ∠ ≅ ∠
because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠
and ∠
as they have different measures, so we'll have to find the measure of either ∠
or ∠
. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is
°, we know that
∠
°. Now, we know that ∠
≅ ∠
because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by
. Hope this helps!
You need 3 points to graph a quadratic function.
It is advisable that one of these points be the vertex, because the line of symmetry passes through it
Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.
For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:
y = (3 - 4)² + 3
y = 1 + 3
y = 4
Replacing with x = 5 into the equation, we get:
y = (5 - 4)² + 3
y = 1 + 3
y = 4
Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows:
