△GHJ∼△MNPWhich statements are true?Select each correct answer.GH=MNHJ¯¯¯¯¯≅NP¯¯¯¯¯¯m∠J=m∠PGJ/MP=GH/MN∠H≅∠N
Accepted Solution
A:
Given that triangles GHJ and MNP are similar, which options are true? Remember that if two triangles are similar, that simply means that the angles are the same. Not the lengths. Now the ratio between the length of the corresponding sides of the triangles will be constant for all three sides. So let's look at the options and see why they are or are not true. GH = MN * This is FALSE. The triangles are similar, not congruent. So the side lengths are not the same. HJ¯¯¯¯¯≅NPÂŻÂŻÂŻÂŻÂŻÂŻ * This is just a different way of asking if two corresponding sides of the triangles are congruent to each other and the answer is still FALSE. mâ J=mâ P * Since two similar triangles have identical corresponding angles, this is TRUE. GJ/MP=GH/MN * Since the ratios of corresponding sides between two similar triangles is constant, this is TRUE. â H≅â N * Since two similar triangles have identical corresponding angles, this is TRUE.