Answer:
They are similar but not congruent.
the two shapes are similar, because they are both pyramids with the same ratio of dimensions.
But they are not congruent because the ratios are not equal to 1.
Step-by-step explanation:
Using the shapes in the attached image we want to confirm if they are similar or congruent.
From the image we can see that they are both pyramids
To compare the two pyramids
Pyramid 1
Height h = 8.4mm
Length l = 9.0mm
Breadth b = 7.2mm
Pyramid 2
h = 7mm
l = 7.5mm
b = 6mm
For the two pyramids to be similar, the sides must have the same ratio.
For the two pyramids to be congruent, the ratio of their dimensions must be equal to 1
Ratio
h = h1/h2 = 8.4/7 = 1.2
l = l1/l2 = 9/7.5 = 1.2
b = b1/b2 = 7.2/6 = 1.2
Therefore the two shapes are similar, because they are both pyramids with the same ratio of dimensions.
But they are not congruent because the ratio is not equal to 1.
