The circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).
From observation:
- the y-midpoint of the line, AB is at point;
- the x-midpoint of the line, BC is at point;
Therefore, the circumcenter of the triangle ABC with A(1,6), B(1, 4), C(5, 4) is at point: (3,5).
Read more on circumcenter:
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Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°
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The <em><u>correct answer</u></em> is:
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis
Explanation:
A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate. This takes our points and maps them the following way:
A(-5, -2)→(-3, 6)
B(-7, -3)→(-5, 5)
C(-6, -6)→(-4, 2)
D(-3, -5)→(-1, 3)
E(-3, -3)→(-1, 5)
The difference between each of these points and the image points is that the x-coordinates are negated. To do this, we would reflect the points through the y-axis.