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Measuring Segments and Angles

Explore the fundamental concepts of measuring segments and angles through hands-on activities. This lesson focuses on using a ruler and string to calculate distances, revisiting how to express line segments, and understanding the lengths of ST, TV, and SV. Students will examine the properties of angles, discern congruent angles, and work through algebraic problems involving angle measures. Engage with the idea of postulates in geometry and how they can lead to new discoveries.

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Measuring Segments and Angles

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  1. Measuring Segments and Angles 1.3 and 1.4

  2. Take ruler out and tape string to the ruler please. We can calculate distance using the ruler postulate. How do we do this??? How is a line segment written again?

  3. What is the length of ST? What is the length of TV? • What is the length of SV given the lengths of ST and TV? • Did we just discover another Postulate???

  4. How would you write this new postulate?

  5. Postulate 1-6

  6. Suppose EF = FG. Solve for x

  7. Go Back to Activity Worksheet

  8. Angle Vocabulary Does the length of the sides of an angle determine the degree of the angle?

  9. Protractor

  10. Types of Angles What type of angle is <HKN <LKJ <MKL

  11. Congruent Angles • On the first activity we worked on with ANGLES, we were looking for congruent angles. • Angles with the same degree are congruent angles.

  12. Algebra Problems • If <ROT = 155, what is the degree of <ROS & <SOT? • Use Statement Reason!

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