In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3
and ∠8 ∠6 and ∠4 ∠8 and ∠2 ∠4 and ∠7
2 answers:
Answer:
<h2>∠1 and ∠5</h2><h2>∠6 and ∠4</h2><h2>∠8 and ∠2</h2>Step-by-step explanation:
The image is attached.
According to geometry, when a transversal crosses one pair of parallels, that set-up give 8 angles which are related each other, we know these angles as
- Alternate interior angles
- Alternate exterior angles.
- Corresponding angles.
- Vertical Angles.
These pair of angles are characterized for being congruent.
According to the graph, ∠1 and ∠5 are congruent, they are corresponding angles, because they are in the same side of the transversal, one interior to parallels, one exterior to parallel.s
Also, ∠6 and ∠4 are congruent, because they are alternate interior angles, they are on different sides of the transversal and inside parallels.
∠8 and ∠2 are congruent, because they are alternate exterior angles, they are on different sides of the transversal and outside parallels.
Therefore, the right choices are ∠1 and ∠5, ∠6 and ∠4, and ∠8 and ∠2
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Answer:
Arc length of the partial circle = 3π units
Step-by-step explanation:
Given question is incomplete; please find the complete question attached.
Formula for the arc length of a circle =
Here θ is the angle formed by the sector at the center.
Angle that is formed at the center of the circle is = 360° - 90°
= 270°
So, length of the arc =
= 3π
Therefore, length of the given partial circle is 3π units.
