Show the similarity between a triangle with angles A, B, and C, where m∠A=47° and m∠B=36°, and another triangle with angles G, H, and J, where m∠G=36° and m∠J=97°.(1 point)
Responses
△CAB≅△HGJ
, triangle upper C upper A upper B congruent to triangle upper H upper G upper J
△ABC∼△HGJ
, triangle upper A upper B upper C tilde triangle upper H upper G upper J
△ABC≅△HGJ
triangle upper A upper B upper C congruent to triangle upper H upper G upper J
△CAB∼△HGJ
To determine the similarity between the two triangles, we need to compare their corresponding angles. If two triangles have the same angles, or if their corresponding angles are equal, then they are similar.
In triangle CAB, we have:
m∠A = 47°
m∠B = 36°
In triangle HGJ, we have:
m∠G = 36°
m∠J = 97°
By comparing the angles, we can see that ∠B in triangle CAB is equal to ∠G in triangle HGJ, and ∠A in triangle CAB is equal to ∠J in triangle HGJ.
Therefore, we can conclude that triangle CAB is similar to triangle HGJ, which can be denoted as △ABC∼△HGJ.
geez, jamal, what's with all the redundant words?
And surely by now you have learned a thing or two about similar triangles ... yeah?