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)
The similarity between the two triangles can be shown by comparing the measures of their corresponding angles.
In both triangles:
∠A corresponds to ∠G (both are 36°) - Corresponding Angle
∠B corresponds to ∠J (both are 97°) - Corresponding Angle
Therefore, the triangles are similar because their corresponding angles are congruent.
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 △ABC∼△HJG triangle upper A upper B upper C similar to triangle upper H upper J upper G △ABC∼△GHJ triangle upper A upper B upper C similar to triangle upper G upper H upper J △ABC∼△GJH triangle upper A upper B upper C similar to triangle upper G upper J upper H △ABC∼△HGJ
Apologies for the previous response. Let's determine the similarity between the two triangles.
In the first triangle ABC, we know that m∠A = 47° and m∠B = 36°.
In the second triangle GHJ, we have m∠G = 36° and m∠J = 97°.
To show the similarity between the triangles, we need to determine if their corresponding angles are congruent.
Comparing ∠A in triangle ABC and ∠G in triangle GHJ, we see that they have the same measure of 36°.
Comparing ∠B in triangle ABC and ∠J in triangle GHJ, we see that they have different measures of 36° and 97°, respectively.
Since only one pair of corresponding angles is congruent, the triangles are not similar.