Question

can you prove these shapes are congruent?

Explanation:

Step1: Analyze the first shape

The first shape \(EFGH\) has four right - angles (as indicated by the square corners) and adjacent sides are marked with one tick. So, \(EFGH\) is a square (a quadrilateral with four right - angles and four equal sides).

Step2: Analyze the second shape

The second shape \(QRST\) has four right - angles (as indicated by the square corners) and adjacent sides are marked with two ticks. So, \(QRST\) is a square (a quadrilateral with four right - angles and four equal sides).

Step3: Compare the side - lengths

Let the length of the side of square \(EFGH\) be \(x\) (based on the one - tick mark). Let the length of the side of square \(QRST\) be \(y\) (based on the two - tick mark). Since \(x
eq y\) (the tick - mark patterns for side - lengths are different), the two squares do not have all corresponding sides equal.

Answer:

no