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kipiarov [429]
3 years ago
13

Explain why segments connecting any pair of corresponding vertices of congruent pentagons are congruent. make a sketch to suppor

t your answer.

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

Congruence between pentagons

Step-by-step explanation:

The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)

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1. Find sinθ if cosθ=1/2 and θ terminates in Quadrant IV.
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The other way is by knowing your unit circle.

1. From the unit circle, we know that cos θ = 1/2 at θ = π/3 and θ = 5π/3.  Since θ is in Quadrant IV, then θ = 5π/3.  sin (5π/3) = -(√3)/2.

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We can repeat these steps for the other questions.

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