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3. perpendicular lines are lines that intersect to form a right angle. …

Question

  1. perpendicular lines are lines that intersect to form a right angle. perpendicular lines have a 90 - degree angle between them. complete the table.
propertytransitivereflexive
congruenceif (angle ghicongangle fed) and (angle fedcongangle abc), then(angle fghcongangle hgf)if (angle xyz=angle egh), then (angle egh=angle xyz)

Explanation:

Step1: Identify congruence transitive rule

If \(A\cong B\) and \(B\cong C\), then \(A\cong C\) for angles.

Step2: Identify reflexive angle - congruence

An angle is congruent to itself.

Step3: Identify equality transitive rule

If \(a = b\) and \(b = c\), then \(a = c\) for angle - measures.

Answer:

  1. Transitive Property of Congruence: If \(\angle GHI\cong\angle FED\) and \(\angle FED\cong\angle ABC\), then \(\angle GHI\cong\angle ABC\)
  2. Reflexive Property of Congruence: \(\angle FGH\cong\angle HGF\)
  3. Transitive Property of Equality: If \(m\angle XYZ = 19^{\circ}\) and \(m\angle XYZ=m\angle FGH\), then \(m\angle FGH = 19^{\circ}\)