Question

PLEASE HELP!!!!! explain too please

Answer 1

The two triangles in 8 are not similar. The two triangles in 9 are similar.

Explanation:

The three angles of all triangles must add up to 180°.

The left triangle in 8 has these angles:

46 58 and (180 - (46+58)) = 76

The right triangle in 8 has these angles:

58 78 and (180 - (58+78)) = 44

So, 46 | 44 and 76 | 78 are dissimilar.

The left triangle in 9 has these angles:

106 31 and (180 - (106+31)) = 43

The right triangle in 9 has these angles:

31 43 and (180 - (31+43)) = 106

But the triangles in 9 all have the same angles: 31 | 43 | 106.

Answer 2

8. Not similar

9. Similar

Explanation:

8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.

9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.

Hope this helps!