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Tenth Grade (Grade 10) Triangles Questions

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Grade 10 Triangles CCSS: HSG-CO.C.10

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What is the missing reason in step 5?
  1. Definition of isosceles triangle
  2. Given
  3. Assume from diagram
  4. Sides intersecting an altitude of a triangle are congruent
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
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 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-CO.C.10

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What is the missing reason in step 3?
  1. Definition supplementary angles
  2. Definition perpendicular lines
  3. Definition vertical angles
  4. Angles on a straight line add up to 180°
Grade 10 Triangles CCSS: HSG-CO.C.10

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What is the missing reason in step 8?
  1. Sum of angles in a triangle is 180°
  2. Summation Property
  3. Definition of supplementary angles
  4. Substitution Property of Equality
Grade 10 Triangles CCSS: HSG-CO.C.10

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What is the missing reason in step 3?
  1. Assume from diagram
  2. Given
  3. Definition of perpendicular lines
  4. Definition supplementary angles
Grade 10 Triangles CCSS: HSG-CO.C.10

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What is the missing reason in step 1?
  1. Two lines intersect in a point
  2. Parallel Postulate equivalent
  3. There exist an infinite number of lines in a plane
  4. Skew lines do not intersect
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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