A (Abe's Market) M (Barb's Beauty Shop) (Curt's Cars) Morgan's Malt Shop Jasmine is studying the map of a city. The city is in the shape of a triangle, and she notes that the population is uniformly distributed over the entire area of the city. Her job is to locate a road through the city that will divide the population into two equal parts. The road must start at point A where Abe's Market is located, and it must be perfectly straight. Jasmine drew a line on the map from point A (Abe's Market) to point M, the midpoint of the opposite side of the city where Morgan's Malt Shop is located. How can she prove that this road will divide the city's population into two areas of equal population? O It cannot be proven that this road will divide the city into two areas of equal population. O The median divides the town into two congruent triangles, and, because they are congruent, the triangles will have the same area. O The median divides the town into two triangles that have the same base and height, and therefore the triangles will have the same area. O The median divides the town into two triangles of equal perimeter, and therefore the triangles will have the same area.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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A (Abe's Market)
B'
M
(Barb's Beauty Shop)
(Curt's Cars)
Morgan's Malt Shop
Jasmine is studying the map of a city. The city is in the shape of a triangle, and she notes that the
population is uniformly distributed over the entire area of the city.
Her job is to locate a road through the city that will divide the population into two equal parts. The
road must start at point A where Abe's Market is located, and it must be perfectly straight.
Jasmine drew a line on the map from point A (Abe's Market) to point M, the midpoint of the opposite
side of the city where Morgan's Malt Shop is located.
How can she prove that this road will divide the city's population into two areas of
equal population?
O It cannot be proven that this road will divide the city into two areas of equal population.
O The median divides the town into two congruent triangles, and, because they are congruent, the triangles will
have the same area.
O The median divides the town into two triangles that have the same base and height, and therefore the
triangles will have the same area.
O The median divides the town into two triangles of equal perimeter, and therefore the triangles will have the
same area.
Transcribed Image Text:A (Abe's Market) B' M (Barb's Beauty Shop) (Curt's Cars) Morgan's Malt Shop Jasmine is studying the map of a city. The city is in the shape of a triangle, and she notes that the population is uniformly distributed over the entire area of the city. Her job is to locate a road through the city that will divide the population into two equal parts. The road must start at point A where Abe's Market is located, and it must be perfectly straight. Jasmine drew a line on the map from point A (Abe's Market) to point M, the midpoint of the opposite side of the city where Morgan's Malt Shop is located. How can she prove that this road will divide the city's population into two areas of equal population? O It cannot be proven that this road will divide the city into two areas of equal population. O The median divides the town into two congruent triangles, and, because they are congruent, the triangles will have the same area. O The median divides the town into two triangles that have the same base and height, and therefore the triangles will have the same area. O The median divides the town into two triangles of equal perimeter, and therefore the triangles will have the same area.
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