Unit 7, Lesson 6

A Special Point

Geometry

Practice

Problem 1

How do the values of \(\alpha\) and \(\beta\) compare? Explain your reasoning.

<p>Quadrilateral A E D F with line A D bisecting angle A into two angles, alpha and beta.</p> — \(\overline{DE} \perp \overline{EA}\);

\(\overline{DF} \perp \overline{FA}\);

\(\overline{DE} \cong \overline{DF}\)

Problem 2

Triangle \(ABC\) is shown together with its angle bisectors. Draw a point \(D\) that is equidistant from sides \(AC\) and \(BC\), but that is closest to side \(AB\).

<p>Triangle A B C with angle bisectors that intersect in the center of the triangle.</p>

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A Special Point

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9