A and B
Explanation
Step 1
a)Similar:
Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
so
let's check the ratio of the sides
[tex]ratio=\frac{vertical\text{ side}}{horizontal\text{ side}}[/tex]
henc
[tex]\begin{gathered} for\text{ triangle }\Delta\text{XYZ} \\ ratio_1=\frac{8}{6}=\frac{4}{3} \\ for\text{ triangle }\Delta UVW \\ ratio_2=\frac{16}{12}=\frac{4}{3} \end{gathered}[/tex]
so, the ratio is the same, we can conlude the triangles are similar
A) Similar:yes
Step 2
b. shape:
both figures are rigth triangles, so
B)Same shape: Yes
Step 3
we can easily watch in the figures , that the size is not the same, because the length of the corresponding sides are not equal.
so
Same siza:no
Step 4
Congruent:
Congruent triangles have both the same shape and the same size.in this case the triangles have same shape but different size, so
Congruent:no
so, the answer is
