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geometry unit 2 lesson 1 practice name ____________ date ____________ p…

Question

geometry unit 2 lesson 1 practice
name __________ date ________ period __
for questions 1 - 3, determine if each of the following represents a definition, postulate, or theorem. then, draw a picture using the given information.

  1. if m is the mid - point of a line segment ab, then am = 1/2ab and mb = 1/2ab.
  2. vertical angles are congruent.
  3. perpendicular lines are lines that intersect to form a right angle.

Explanation:

Step1: Recall mid - point def.

The mid - point of a line segment divides it into two equal parts.

Step2: Recall vertical angles theorem.

Vertical angles have equal measure.

Step3: Recall perpendicular lines def.

Perpendicular lines have a 90 - degree angle between them.

Answer:

  1. By the definition of mid - point.
  2. Vertical angles are congruent by the vertical angles theorem.
  3. Perpendicular lines intersect to form right angles by the definition of perpendicular lines.