At a hot-air balloon event, a person has to toss a small beanbag from a hot-air balloon onto a target on the ground. The locatio
ns of two targets at the event are shown graphed on a coordinate grid.
Each square on the grid has a side length of 5 yards. What is the distance between points S and T on the grid?
Question 8 options:
20 yards
30 yards
40 yards
45 yards
Each square on the grid has a side length of 5 yards. What is the distance between points S and T on the grid?
Question 8 options:
20 yards
30 yards
40 yards
45 yards
1 answer:
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Answer: AAA similarity.
Step-by-step explanation: CB is the transversal for the parallel lines AB and DE, and so by transverse property, we have ∠CED ≅ ∠CBA. Similarly, CA acts as a tranversal for the same pair of parallel lines AB and DE and using the same property, we can have ∠CDE ≅ ∠CAB. Now, in triangles CED and ABC, we have
∠CED ≅ ∠CBA,
∠CDE ≅ ∠CAB
and
∠DCE ≅ ∠ACB [same angle]
Hence, by AAA (angle-angle-angle) similarity,
△CED ~ △ABC.
Thus, the correct option is AAA similarity.
