Show the similarity between a triangle with angles A%0D%0A%0D%0A, B%0D%0A%0D%0A, and C%0D%0A%0D%0A, where m∠A=47°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A47%0D%0A°%0D%0A and m∠B=36°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A36%0D%0A°%0D%0A, and another triangle with angles G%0D%0A%0D%0A, H%0D%0A%0D%0A, and J%0D%0A%0D%0A, where m∠G=36°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A36%0D%0A°%0D%0A and m∠J=97°%0D%0A%0D%0A∠%0D%0A%0D%0A=%0D%0A97%0D%0A°%0D%0A.%0D%0AResponses%0D%0A%0D%0A△ABC∼△GHJ%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A △ABC∼△GHJ%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A - no response given%0D%0A%0D%0A△ABC∼△GJH%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A △ABC∼△GJH%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A - incorrect%0D%0A%0D%0A△ABC∼△HJG%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A△ABC∼△HJG%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A∼%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A - no response given%0D%0A%0D%0A△ABC∼△HGJ
△ABC∼△HGJ
can you explain how to get that answer
To determine if two triangles are similar, we need to compare their corresponding angles and sides.
In this case, we are given that △ABC has angles A, B, and C where m∠A=47°, m∠B=36°, and m∠C = 180° - (47° + 36°) = 97°.
And △GHJ has angles G, H, and J where m∠G=36°, m∠H=180° - (36° + 97°) = 47°, and m∠J = 97°.
To determine if △ABC is similar to △GHJ, we can compare their corresponding angles:
Angle A in △ABC corresponds to angle G in △GHJ, and they are both equal to 47°.
Angle B in △ABC corresponds to angle H in △GHJ, and they are both equal to 36°.
Angle C in △ABC corresponds to angle J in △GHJ, and they are both equal to 97°.
Since all corresponding angles in △ABC and △GHJ are equal, we can conclude that △ABC is similar to △GHJ.
but its abc hgj
Apologies for the confusion. You are correct.
Given that △ABC has angles A, B, and C where m∠A=47°, m∠B=36°, and m∠C= 97°.
And △HGJ has angles G, H, and J where m∠G=36°, m∠H=47°, and m∠J= 97°.
To determine if △ABC is similar to △HGJ, we can compare their corresponding angles:
Angle A in △ABC corresponds to angle H in △HGJ, and they are both equal to 47°.
Angle B in △ABC corresponds to angle G in △HGJ, and they are both equal to 36°.
Angle C in △ABC corresponds to angle J in △HGJ, and they are both equal to 97°.
Since all corresponding angles in △ABC and △HGJ are equal, we can conclude that △ABC is similar to △HGJ.