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\begin{tabular}{|l|l|}\hline 14. \( m \angle C=90^{\circ} \) & 14. \\ \hline 15. \( \triangle A B C \) is a right triangle & \( \begin{array}{l}\text { 15. Definition of right } \\ \text { triangles }\end{array} \) \\ What reason justifies statement \( 14 ? \) \\ \( \begin{array}{l}\text { (1 point) }\end{array} \) \\ \( \begin{array}{l}\text { O Definition of right angles } \\ \text { O Definition of right triangles } \\ \text { O Reansitive Property }\end{array} \) \\ \hline\end{tabular}

Ask by Rodriguez Cummings. in the United States
Jan 20,2025

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The reason that justifies statement 14 is the **Definition of right angles**.

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Mind Expander

In the realm of geometry, right triangles hold a special place! A right triangle, like triangle ABC, is defined as one that contains a right angle, which is exactly \( 90^\circ \). This angle is not just a number; it's a critical factor that influences many properties of the triangle, including the relationships between its sides, famously encapsulated in the Pythagorean theorem. As you dive deeper into the world of geometric proofs and definitions, don’t underestimate the power of angles! They can be your best friends or sneaky tricks in problem-solving. A common mistake is to overlook the significance of accurately labeling angles, which can lead to incorrect conclusions. Always double-check the angles you’re working with—they could be the key to unlocking the solution!

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