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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 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5
Grade 10 Quadrilaterals 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. [math]ang ABF[/math] and [math]ang BFE[/math] are complimentary
  3. Right angles are congruent
  4. [math]ang AFB ~= ang BFE[/math]
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 4?
  1. [math]m ang AFB + m ang BFE = m ang AFE[/math]
  2. [math]90° + 90° = 180°[/math]
  3. [math]m ang AFB + 90° = 180°[/math]
  4. [math]90° + m ang BFE = 180°[/math]
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 8?
  1. [math]ang AFB ~= ang BFE[/math]
  2. [math]ang AFB ~= ang EDC[/math]
  3. [math]ang BAF ~= ang EDC[/math]
  4. [math]ang BAF ~= ang ECD[/math]
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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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
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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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°
Grade 10 Triangles CCSS: HSG-SRT.B.5

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What is the missing statement in step 7?
  1. [math]Delta BCD \ ~ \ Delta CDE[/math]
  2. [math]Delta BCD \ ~ \ Delta CED[/math]
  3. [math]Delta BCD \ ~ \ Delta DEC[/math]
  4. [math]Delta BCD \ ~ \ Delta DCE[/math]
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