Topic: Constructions and Congruence (6.4)

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Presentation transcript:

Topic: Constructions and Congruence (6.4) Date: Topic: Constructions and Congruence (6.4) Warm-up Find the measure of angle KLM. Is it acute, right, or obtuse? What other ways can we name this angle? acute

Lines that intersect to form right angles (90˚) are called perpendicular lines ( ). m || n Parallel lines (||) are coplanar lines that do not intersect. Noncoplanar lines are called skew lines.

are vertical angles and therefore equal in measure. In the figure, . Find G C A B D F E 30˚ 60˚ 60˚ are vertical angles and therefore equal in measure.

The distance between the endpoints of a segment are called the segment length. When two line segments are of equal length, they are called congruent. CONGRUENCE: We use the sign ≅ to denote congruent segments, angles, triangles, and geometric figures. The same notation is used for congruent angles.

We construct congruent segments and angles using a compass:

Congruent segments click on for an on-line example Q P

Congruent angles click on for an on-line example