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1) Practice: Drawing Inferences Fill in the blanks in the list. Congruent figures have exactly the same size and shape. Congruent segments have the same Congruent angles have the same Congruent triangles have the same side and the same angle

Ask by Boyd Burns. in the United States
Mar 11,2025

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Congruent figures have exactly the same size and shape. Congruent segments have the same length. Congruent angles have the same measure. Congruent triangles have the same side lengths and the same angle measures.

Solución

To fill in the blanks in the list, we can summarize the properties of congruent figures, segments, angles, and triangles as follows: 1. Congruent figures have exactly the same size and shape. 2. Congruent segments have the same **length**. 3. Congruent angles have the same **measure**. 4. Congruent triangles have the same **side lengths** and the same **angle measures**. So the completed list would be: - Congruent figures have exactly the same size and shape. - Congruent segments have the same **length**. - Congruent angles have the same **measure**. - Congruent triangles have the same **side lengths** and the same **angle measures**.

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Beyond the Answer

Congruent segments have the same length. Congruent angles have the same measure. Congruent triangles have the same side lengths and the same angle measures. Understanding congruence is crucial in geometry as it helps in proving the equality of various geometric shapes, ensuring that you can solve problems, design figures, or analyze different structures without any fuss. If you’ve ever played with building blocks, you know how satisfying it is to find pieces that fit perfectly together—trust congruence to give you that same joy in math! When practicing drawing inferences in geometry, many learners mistakenly equate similarity with congruence. Remember, similar figures have the same shape but not necessarily the same size, while congruent figures are identical in both size and shape. A helpful tip is to visualize or sketch the figures—seeing them can clear up confusion in a snap!

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