Any straight line segment can be extended infinitely in a straight line 3. Therefore we can set the lengths = to each other. A straight line can be drawn by joining any two points 2. ST 5.4 2 The length of ST is about 3.4 centimeters. For example, if you align S with 2, T appears to align with 5.4. SOLUTION Align one mark of a metric ruler with S.Then estimate the coordinate of T. The measures areĬongruent by the definition of congruent angles, so we can set the lengths equal to find x.Ĩ) x = 4 Because the segments are congruent, the lengths of the segments are congruent by the definition of congruent segments. EXAMPLE 1 Apply the Ruler Postulate Measure the length of ST to the nearest tenth of a centimeter. We can set their lengths = to each other to find x.ħ) x = 5 By the transitive theorem,EBCABD. Fill in the blanks on the worksheet and keep it in your notebook for f.
IJHI Given Transitive thm of segment congruenceĢ) Given Given Definition of complementary angles Transitive property of equality Subtraction property of = Definition of congruent anglesģ) Given Reflexive property of equality Addition property of equality Segment addition postulate Segment addition postulate Substitution property of =Ĥ) Given Transitive theorem of angle congruenceĥ) x = 6 Since the angles are congruent, their measures are congruent by the definition of congruent angles, so we can set them equal to each other. Here we will go over two postulates: the ruler postulate and the protractor postulate. 1) Given Given Transitive property of equality