Mathematics: The diagram below models the layout at a carnival where g, r, p, c, b, and e are various locations on the grounds. grpc is a parallelogram. parallelogram grpc with point b between c and p forming triangle gcb where gc equals 375 ft, cb equals 325 ft, and gb equals 425 ft, point e is outside parallelogram and segments be and pe form triangle bpe where bp equals 225 ft. part a: identify a pair of similar triangles. (2 points) part b: explain how you know the triangles from part a are similar. (4 points)

The diagram below models the layout at a carnival

mckinneypaige8243

10.10.2020

By AA similarity Postulate

Step-by-step explanation:

Given: GRPC is a parallelogram.

GC = 375 feet, BC = 325 feet, BP = 225 feet, BG = 425 feet

To find: a pair of similar triangles. criterion of similarity and BE, PE

Solution:

Opposite sides of a parallelogram are parallel

As , (if lines are parallel then alternate interior angles are equal)

As , if lines are parallel then alternate interior angles are equal)

So, (by AA similarity Postulate)

(if two triangles are similar then their sides are proportional)

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