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Type: Multiple-Choice
Category: Angles
Level: Grade 10
Standards: HSG-CO.C.9
Author: nsharp1
Created: 6 years ago

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Angles Question

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Grade 10 Angles CCSS: HSG-CO.C.9

Choose the correct missing statement from step 3.

Given the two intersecting lines and the four resulting angles, prove that [math]ang2 ~=ang 4[/math].

Vertical Angle #2
[math] " Statement " [/math][math] " Reason "[/math]
[math]1. m ang 1 + m ang 2 = 180°[/math][math]1. "Linear pairs of angels are supplementary"[/math]
[math]2. m ang 4 + m ang 1 = 180°[/math][math]2. "Linear pairs of angles are supplementary"[/math]
[math]3. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [/math][math]3. "Substitution property of equality"[/math]
[math]4. m ang 2 = m ang 4[/math][math]4. "Subtraction property of equality"[/math]
[math]5. ang 2 ~= ang 4[/math][math]5. "Definition of congruent angles"[/math]
  1. [math] m ang 2 + 180° = m ang 4[/math]
  2. [math]m ang 4+ m ang 2 = 180°[/math]
  3. [math]m ang 1 + m ang 2 - 180° = m ang 4 + m ang 1[/math]
  4. [math]m ang 1+ m ang 2 = m ang 4 + m ang 1[/math]
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