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# Common Core Standard HSG-SRT.B.5 Questions

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

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Grade 9 Similar and Congruent Figures CCSS: HSG-SRT.B.5
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5

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What is the missing reason in step 3?
1. The sum of the angles on a straight line is 180°
2. $ang ABF$ and $ang BFE$ are complimentary
3. Right angles are congruent
4. $ang AFB ~= ang BFE$

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What is the missing statement in step 4?
1. $m ang AFB + m ang BFE = m ang AFE$
2. $90° + 90° = 180°$
3. $m ang AFB + 90° = 180°$
4. $90° + m ang BFE = 180°$

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What is the missing statement in step 8?
1. $ang AFB ~= ang BFE$
2. $ang AFB ~= ang EDC$
3. $ang BAF ~= ang EDC$
4. $ang BAF ~= ang ECD$

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What is the missing reason in step 12?
1. If 2 parallel lines are cut by a transversal, alternate angles are supplementary
2. If 2 parallel lines are cut by a transversal, consecutive exterior angles are supplementary
3. If 2 parallel lines are cut by a transversal, alternate interior angles are congruent
4. If 2 parallel lines are cut by a transversal, consecutive interior angles are supplementary

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What is the missing reason in step 16?
1. The sum of four non-obtuse angles is 360°
2. The sum of the interior angles of any two dimensional figure is 360°
3. Four angles make a full rotation, which is 360°
4. The sum of the interior angles in a quadrilateral is 360°
1. $Delta BCD \ ~ \ Delta CDE$
2. $Delta BCD \ ~ \ Delta CED$
3. $Delta BCD \ ~ \ Delta DEC$
4. $Delta BCD \ ~ \ Delta DCE$