The proof refers to the figure shown here. Drag the word choices below to supply the missing reasons in the proof.

Lines X V and W Y intersect at point Z. Angles W Z X and W Z V are marked, but no measures are given.
If two angles are supplementry to the same angle, then the two angles are congruent.The sum of the measures of a linear pair is 180°.Angle Addition PostulateDefinition of Perpendicular LinesDefinition of Linear PairTransitive Property of EqualitySupplementary congruent angles are right angles.
Statement Reason
1 ∠WZX ≅ ∠WZV Given
2 ∠WZX and ∠WZV are a linear pair.
3 m∠WZX + m∠WZV = 180°
4 m∠WZX =m∠WZV = 90°
5 WY¯¯¯¯¯¯¯¯¯¯ ⊥ VX¯¯¯¯¯¯¯¯¯¯

Question

04-12-2022
Mathematics

Answered

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The proof refers to the figure shown here. Drag the word choices below to supply the missing reasons in the proof.

Lines X V and W Y intersect at point Z. Angles W Z X and W Z V are marked, but no measures are given.
If two angles are supplementry to the same angle, then the two angles are congruent.The sum of the measures of a linear pair is 180°.Angle Addition PostulateDefinition of Perpendicular LinesDefinition of Linear PairTransitive Property of EqualitySupplementary congruent angles are right angles.
Statement Reason
1 ∠WZX ≅ ∠WZV Given
2 ∠WZX and ∠WZV are a linear pair.
3 m∠WZX + m∠WZV = 180°
4 m∠WZX =m∠WZV = 90°
5 WY¯¯¯¯¯¯¯¯¯¯ ⊥ VX¯¯¯¯¯¯¯¯¯¯

Sagot :

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