I need to know is a square tan in a tangram congruent to a square pattern block? Explain your thinking?

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Is a square tan in a tan gram congruent to a square pattern block?Explain you thinking

I need to know is a square tan in a tangram congruent to a square pattern block? Explain your thinking?

To determine if a square tangram and a square pattern block are congruent, we need to compare the properties of both shapes.

First, let's understand what a tangram and a pattern block are. A tangram is a traditional Chinese puzzle consisting of seven specific pieces: five triangles (equilateral and right-angled), a square, and a parallelogram. On the other hand, a pattern block set is a collection of various geometric shapes, including a square, triangle, parallelogram, rhombus, and trapezoid.

To analyze if a square tangram and a square pattern block are congruent, we should focus solely on their square components. Both the tangram and pattern block contain squares, but we must ensure that their corresponding square pieces have identical attributes.

Start by examining the square tangram piece. Measure its sides to determine its size. Note down the length of each side of the square.

Next, identify the square pattern block from the set. Measure its sides as well and record the length of each side.

Compare the measurements of both squares. If the side lengths of the square tangram and the square pattern block are equal, they are congruent. In other words, if the measurements match, then the two squares are the same shape and size.

However, if the side lengths differ, then we can conclude that the square tangram and the square pattern block are not congruent.

Remember, the properties of congruent shapes imply that their corresponding angles and side lengths are equal. Thus, measuring and comparing the sides of the square tangram and the square pattern block will help confirm their congruence or lack thereof.