Find the distance between the points 5 , 3 and -6 , 3 .
1 answer:
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Answer: Choice C
The non-pencil part of the compass is placed at point G. The compass must be kept the same width that was used to form the arc shown. The idea is to draw another arc so that it starts above G (so its on the opposite side of point A) and traces out a similar path as the arc in the diagram.
Check out the attached image to see what I mean. The new second arc is shown in red.
The non-pencil part of the compass is placed at point G. The compass must be kept the same width that was used to form the arc shown. The idea is to draw another arc so that it starts above G (so its on the opposite side of point A) and traces out a similar path as the arc in the diagram.
Check out the attached image to see what I mean. The new second arc is shown in red.
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F =
m∠D = °.
Now, let m∠A = m∠B =
So, m∠C = m∠A + 30° =
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D =
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.