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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 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 4?
  1. mAFB+mBFE=mAFE
  2. 90°+90°=180°
  3. mAFB+90°=180°
  4. 90°+mBFE=180°
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 8?
  1. AFBBFE
  2. AFBEDC
  3. BAFEDC
  4. BAFECD
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. ΔBCD ~ ΔCDE
  2. ΔBCD ~ ΔCED
  3. ΔBCD ~ ΔDEC
  4. ΔBCD ~ ΔDCE
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 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 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°
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