QUESTION IMAGE
Question
- perpendicular lines are lines that intersect to form a right angle. perpendicular lines have a 90 - degree angle between them. complete the table.
| property | transitive | reflexive | |
|---|---|---|---|
| congruence | if (angle ghicongangle fed) and (angle fedcongangle abc), then | (angle fghcongangle hgf) | if (angle xyz=angle egh), then (angle egh=angle xyz) |
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.
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- Transitive Property of Congruence: If \(\angle GHI\cong\angle FED\) and \(\angle FED\cong\angle ABC\), then \(\angle GHI\cong\angle ABC\)
- Reflexive Property of Congruence: \(\angle FGH\cong\angle HGF\)
- Transitive Property of Equality: If \(m\angle XYZ = 19^{\circ}\) and \(m\angle XYZ=m\angle FGH\), then \(m\angle FGH = 19^{\circ}\)