Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape.

First, see if the corresponding angles are all congruent.

T ≅  W

S ≅ X

R ≅ V

The corresponding angles are all congruent.

Next, see if the corresponding sides are proportional. Start by finding the lengths of all the sides.

TS and WX have a ratio of 30/40 , which is equivalent to 3/4.

SR and XV have a ratio of 30/40 , which is equivalent to 3/4.

RT and VW have a ratio of 18/24, which is equivalent to 3/4.

The ratios are all 3/4, so the corresponding sides are proportional.

Since the corresponding angles are all congruent and the corresponding sides are proportional, the shapes are similar.

Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape.

First, see if the corresponding angles are all congruent.

∠Q ≅ ∠W

∠N  ≅  ∠X

∠0  ≅  ∠U

∠P ≅  ∠V

The corresponding angles are all congruent.

Next, see if the corresponding sides are proportional. Start by finding the lengths of all the sides.

QNOP is a parallelogram. The opposite sides are congruent. QN is 30 mm and PQ is 41 mm.

WXUV is also a parallelogram. The opposite sides are congruent. WX is 30 mm and XU is 46 mm.

QN and WX have a ratio of 30/30 , which is equivalent to 1/1 .

NO and XU have a ratio of 41/46 .

OP and UV have a ratio of 30/30 , which is equivalent to 1/1 .

PQ and VW have a ratio of 41/46 .

The ratios are not all the same, so the corresponding sides are not proportional.

Since the corresponding sides are not proportional, the shapes are not similar.