Is your new house after this transformation congruent to the original house? Explain your answer.
original house
A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5).
new house
1, 2 1, 4 2, 5 3, 2 3, 4
3 answers
No, the new house is not congruent to the original house. While they both have the same shape (a pentagon), the new house has different coordinates for its vertices. The original house has side lengths of 2, 1, √2, 1, and √2, while the new house has side lengths of √5, 1, √5, 1, and √5. Therefore, the new house is not congruent to the original house.
Is your neighbor’s house congruent to your house? Explain your answer
neighbors house
-3, 5 -1, 4 0, 5 -1, 6 -3, 6
my house
1, 2 1, 4 2, 5 3, 2 3, 4
neighbors house
-3, 5 -1, 4 0, 5 -1, 6 -3, 6
my house
1, 2 1, 4 2, 5 3, 2 3, 4
No, my neighbor's house is not congruent to my house. While they both have the same number of sides and vertices, the coordinates for their vertices are different. The shape of my neighbor's house is not the same as my house because the side lengths and angles would not match up when compared directly. Therefore, my neighbor's house is not congruent to my house.
1 answer