Question

which pairs of figures are congruent? which pairs are similar?
(first figure set: two rectangles on grid)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(second figure set: an ellipse and a circle on grid)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(third figure set: two triangles on grid)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(fourth figure set: two l - shaped figures on grid)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

Explanation:

Step1: Define congruent/similar

Congruent: Same shape + same size.
Similar: Same shape, proportional sizes.

Step2: Analyze Top-Left Pair

Rectangles: Different sizes, same shape.
Congruent? No. Similar? Yes.

Step3: Analyze Top-Right Pair

Oval + circle: Different shapes.
Congruent? No. Similar? No.

Step4: Analyze Bottom-Left Pair

Triangles: Same shape, same size.
Congruent? Yes. Similar? Yes.

Step5: Analyze Bottom-Right Pair

L-shapes: Same shape, proportional sizes.
Congruent? No. Similar? Yes.

Answer:

1. Top-Left Figures:

Congruent? No
Similar? Yes

1. Top-Right Figures:

Congruent? No
Similar? No

1. Bottom-Left Figures:

Congruent? Yes
Similar? Yes

1. Bottom-Right Figures:

Congruent? No
Similar? Yes