Answer: Triangle D
Explanation
Triangle T is 1 unit tall and 2 units across the base. The ratio would be 1:2 in the exact order mentioned.
Triangle D is 3 units tall and 6 units across the base. The ratio would be 3:6 and that fully reduces to 1:2 after dividing both parts by the GCF 3.
Think of it like saying 1/2 = 3/6.
Because of the equivalent ratios, we know the corresponding sides are in proportion with one another. Furthermore, triangles T and D have a 90 degree angle. We can use the SAS (side angle side) Similarity Theorem to prove that triangle T and triangle D are similar triangles.
Triangle D is an enlarged copy of triangle T. Sides of triangle T have been tripled to get the sides of triangle D.
We can reverse the logic of the previous paragraph to say: Triangle T is a shrunken down copy of triangle D. The sides of triangle D have been divided by 3 (aka multiplied by 1/3) to get the sides of triangle T.
Recall that similar polygons have the same shape but different sizes.
