Question

which pairs of figures are congruent? which pairs are similar?
(first figure pair: two triangles on grids)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(second figure pair: two ovals/circles on grids)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(third figure pair: two l - shaped figures on grids)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no
(fourth figure pair: two rectangles on grids)
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

Explanation:

Step1: Define congruent/similar

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

Step2: Analyze Pair 1 (Triangles)

Check side lengths: Both have legs 3,4, hypotenuse 5. Same size/shape.

Step3: Analyze Pair 2 (Circles)

Circles are same shape, but different radii.

Step4: Analyze Pair 3 (L-shapes)

Same shape, smaller L is scaled-down version of larger.

Step5: Analyze Pair 4 (Rectangles)

First rectangle: 4x1, second: 3x2. Different aspect ratios, not same shape.

Answer:

Pair 1 (Triangles):

Congruent? Yes
Similar? Yes

Pair 2 (Circles):

Congruent? No
Similar? Yes

Pair 3 (L-shapes):

Congruent? No
Similar? Yes

Pair 4 (Rectangles):

Congruent? No
Similar? No