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# Common Core Standard HSG-CO.C.9 Questions

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

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What is the definition of complimentary angles?
1. Two angles that add to be $180 deg$
2. Two angles that have a difference of $90 deg$
3. Two angles add to be $90 deg$
4. Two angles that have a difference of $180 deg$
What is the definition of supplementary angles?
1. Two angles that add to be $180 deg$
2. Two angles that have a difference of $90 deg$
3. Two angles add to be $90 deg$
4. Two angles that have a difference of $180 deg$
What angle is complimentary to $32 deg$
1. $-32 deg$
2. $148 deg$
3. $58 deg$
4. $32 deg$
Two intersecting lines form 4 angles, one of which is $60 deg$. What are the measures of the remaining angles?
1. $60 deg ,30 deg,30 deg$
2. $90 deg ,90 deg,60 deg$
3. $120 deg ,60 deg,120 deg$
4. $30 deg ,30 deg,90 deg$
Two intersecting lines form 4 angles, one of which is $173deg$. What are the measures of the remaining angles?
1. $173 deg ,7 deg,7 deg$
2. $7 deg ,83 deg,7 deg$
3. $187 deg ,3 deg,187 deg$
4. $7 deg ,173 deg,173 deg$
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