Which triangles are similar to $ riangle A B C$ ?

Choose 1 answer:
(A)
$ riangle E F D$ only
(B)
(C) Both
(D) Neither

Question

Which triangles are similar to $	riangle A B C$ ?

Choose 1 answer:
(A)
$	riangle E F D$ only
(B)
(C) Both
(D) Neither

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine if triangles are similar, we need to compare the ratios of corresponding sides. ‖ ‖ step 2 ⋮ For $ riangle ABC $ and $ riangle EFD $, the side lengths are 12, 9, 8 and 11, 9, 8 respectively. ‖ ‖ step 3 ⋮ The ratios of corresponding sides for $ riangle ABC $ and $ riangle EFD $ are $\frac{12}{11}$, $\frac{9}{9}$, and $\frac{8}{8}$. ‖ ‖ step 4 ⋮ Since two ratios are equal (1) and one is not, $ riangle ABC $ and $ riangle EFD $ are not similar. ‖ ‖ step 5 ⋮ For $ riangle ABC $ and $ riangle GIH $, the side lengths are 12, 9, 8 and 6, 4.5, 4 respectively. ‖ ‖ step 6 ⋮ The ratios of corresponding sides for $ riangle ABC $ and $ riangle GIH $ are $\frac{12}{6}$, $\frac{9}{4.5}$, and $\frac{8}{4}$. ‖ ‖ step 7 ⋮ All ratios for $ riangle ABC $ and $ riangle GIH $ are equal to 2, which means $ riangle ABC $ and $ riangle GIH $ are similar. ‖ ***B*** ∻Key Concept∻ ⚹Similar Triangles⚹ ∻Explanation∻ ⚹Triangles are similar if all corresponding sides have equal ratios.⚹◊What is the formula for determining if two triangles are similar based on their side lengths?⍭ Generate me a similar question◊

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