Question

which pairs of figures are congruent? which pairs are similar? congruent? yes no congruent? yes no similar? yes no similar? yes no congruent? yes no congruent? yes no similar? yes no similar? yes no

Explanation:

First Pair (Two Circles):

• Congruent Check:

Circles have same shape (all circles are similar in shape). Here, if we assume from grid (though not numerical, visual - like same radius as per grid spacing), they can be congruent. Congruent figures have same shape and size.

• Similar Check:

Since congruent figures are a special case of similar figures (similarity ratio \(k = 1\)), if they are congruent, they are also similar.

Second Pair (Two Triangles):

• Congruent Check:

Visually (from grid - one is larger than the other in terms of side lengths as per grid spacing). So, not same size. So, not congruent.

• Similar Check:

They have same shape (both are triangles with same - type angles as per grid - like right - angled or same - angled triangles). So, similar.

Third Pair (Two T - shaped figures):

• Congruent Check:

One is larger than the other (as per grid spacing). So, not same size. Not congruent.

• Similar Check:

Same shape (T - shaped). So, similar.

Fourth Pair (Rectangle and Square):

• Congruent Check:

Different shapes (one is rectangle, one is square. Square is a special rectangle but here, if we assume from grid - different side - length ratios). Not same size. Not congruent.

• Similar Check:

Different general shapes (a square has all sides equal, a rectangle has opposite sides equal. If side - length ratios not in proportion). So, not similar.

Answer:

• First Pair: Congruent - Yes, Similar - Yes.
• Second Pair: Congruent - No, Similar - Yes.
• Third Pair: Congruent - No, Similar - Yes.
• Fourth Pair: Congruent - No, Similar - No.