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Geometry1.2 Measurements of Segments and Angles 1.2 Measurements of Segments and Angles •A geometric object is distinct from its measure. Symbols are used carefully to distinguish between… Object Name Symbol Measure Linear Units: meters (m), centimeters (cm), feet (ft), miles (mi) Angle Units: degrees ( Rule: )x 0 x 180 x Rulers 4 A Protractor 5 Classifying Angles by their Measures Acute x° x < 90° Straight Right Obtuse x° x° x = 90° x > 90° x° x = 180° Types of Angles • Acute Angle: Measures between 0° and 90° • Right Angle: Measure of 90° • Obtuse Angle: Measure between 90° and 180° • Straight Angle: Measure of 180° Example Given that KLMis a straight angle, find mNLM and mKLN • How many s can you find? Name them. B A •3 s 1 2 D –ADB or BDA –BDC or CDB –ADC or CDA •Notice D (the vertex) is always in the middle. •Can’t use D •But 1 or 2 could be added. C Definition: Congruent Segments have equal length Definition: Congruent Angles have equal measure Congruence Symbol: Meaning: If 1 2 then Meaning: If AB CDthen m1 m2 AB CD Building Bocks of Geometry Using Marks to Identify Congruent Line Segments Identify the line segments that are congruent in the figure. A AB CD One tick mark AC BD Two tick marks E BF DF EC AE Three tick marks Course 2 B F C D Using Marks to Identify Congruent Angles and Segments Name the Congruent Objects Name the Congruent Objects Alternative Method for Measuring Angles DMS: Degrees , Minutes , Seconds 1 degree 1 = 60 minutes 60 ' 1 minute 1'= 60 seconds 60"