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

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What is the missing reason in step 11?
  1. If two parallel lines are cut by a transversal, alternate exterior angles are congruent
  2. If two parallel lines are cut by a transversal, alternate interior angles are congruent
  3. If two parallel lines are cut by a transversal, alternate angles are congruent
  4. If two parallel lines are cut by a transversal, corresponding angles are congruent
Grade 9 Similar and Congruent Figures CCSS: HSG-SRT.B.5
Grade 10 Triangles CCSS: HSG-SRT.B.5

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What is the missing reason in step 13?
  1. Given
  2. Definition of supplementary angles
  3. The sum of two right angles is 180°
  4. The sum of any two angles of a rectangle is 180°
Grade 10 Triangles CCSS: HSG-SRT.B.5

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What is the missing reason in step 16?
  1. The sum of the exterior angle and its corresponding interior angle is 180°
  2. The sum of adjacent angles which are also equal is 180°
  3. The sum of the angles on a straight line is 180°
  4. The sum of two right angles is 180°
Grade 10 Triangles CCSS: HSG-SRT.B.5

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What is the missing reason in step 22?
  1. SAS Congruence Theorem
  2. AAS Congruence Theorem
  3. HL Congruence Theorem
  4. ASA Congruence Theorem
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