Similar Figures Quick Check

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Question
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An illustration shows a square L M N O, tilted as a diamond, and a vertical rectangle P Q R S, placed side-by-side on a grid of 14 columns by 8 rows, forming square units. Square L M N O on the left side of the grid has the top vertex M at 4 units from the left of the grid and 6 units from the bottom. Right vertex L is 6 units from the left and 4 units from the bottom. Bottom vertex O is 4 units from the left and 2 units from the bottom. Left vertex N is 2 units from the left and 4 units from the bottom. All 4 sides are labeled 2.83. The square is drawn using solid lines and a closed point is marked on each vertex. Right angle symbols are marked at all vertices. Rectangle P Q R S on the right side of the grid has the base left vertex R at 9 units from the left and 2 units up from the bottom. The top left vertex S is 9 units from the left and 6 units up from the bottom. Top right vertex P is 12 units from the left and 9 units up from the bottom. The base right vertex Q is 12 units from the left and 2 units up from the bottom. Base R Q and top side S P are labeled 3. The left side and the right side are each labeled 4. The rectangle is formed using dotted lines and a closed point is marked on each vertex. Right angle symbols are marked at all vertices.

Determine whether the two figures are similar and why.

(1 point)
Responses

Yes, the sides are proportional.
Yes, the sides are proportional.

No, the sides are not proportional.
No, the sides are not proportional.

Yes, they have equal angles.
Yes, they have equal angles.

No, they do not have equal angles.
No, they do not have equal angles.
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Yes, the sides are proportional. The square and rectangle have sides that are in proportion to each other, with corresponding sides having the same ratios. Additionally, both figures have equal angles, being right angles at all vertices.