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Give the reason for each step in an angle argument

10th grade (Year 11 in England) · 11 questions · Common Core: HSG.CO.C.9 · England: GCSE Foundation Geometry, GCSE Higher Geometry

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Date

Score/ 11

  1. Question 1

    Angle p and an angle of 128° lie on a straight line. Find p in degrees.

    Answer

  2. Question 2

    A line crosses two parallel lines. Angle p and an angle of 70° are in the same position at each crossing (an F shape). Which reason should go with the step that finds p?

    • A. Corresponding angles are equal
    • B. Angles on a straight line add up to 180°
    • C. Vertically opposite angles are equal
    • D. Co-interior angles add up to 180°

  3. Question 3

    Two straight lines cross. Angle p is vertically opposite an angle of 65°. Find p in degrees.

    Answer

  4. Question 4

    A line crosses two parallel lines. Angle p and an angle of 106° are between the parallel lines, on the same side of the crossing line (a C shape). Which reason should go with the step that finds p?

    • A. Angles around a point add up to 360°
    • B. Corresponding angles are equal
    • C. Co-interior angles add up to 180°
    • D. Alternate angles are equal

  5. Question 5

    Angle p and an angle of 112° are alternate angles between parallel lines. Find p in degrees.

    Answer

  6. Question 6

    Angle p and an angle of 92° sit side by side and together make a straight line. Which reason should go with the step that finds p?

    • A. Angles around a point add up to 360°
    • B. Co-interior angles add up to 180°
    • C. Angles on a straight line add up to 180°
    • D. Alternate angles are equal

  7. Question 7

    Angle p and an angle of 63° are alternate angles between parallel lines. Find p in degrees.

    Answer

  8. Question 8

    Two straight lines cross. Angle p is directly across the crossing point from an angle of 136°. Which reason should go with the step that finds p?

    • A. Corresponding angles are equal
    • B. Angles on a straight line add up to 180°
    • C. Vertically opposite angles are equal
    • D. Alternate angles are equal

  9. Question 9

    Angle p and an angle of 52° lie on a straight line. Find p in degrees.

    Answer

  10. Question 10

    Two straight lines cross. Angle p is directly across the crossing point from an angle of 107°. Which reason should go with the step that finds p?

    • A. Corresponding angles are equal
    • B. Co-interior angles add up to 180°
    • C. Vertically opposite angles are equal
    • D. Angles around a point add up to 360°

  11. Question 11

    Two straight lines cross. Angle p is vertically opposite an angle of 120°. Find p in degrees.

    Answer

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Answer key: Give the reason for each step in an angle argument

  1. 1. 52

  2. 2. A. Corresponding angles are equal

  3. 3. 65

  4. 4. C. Co-interior angles add up to 180°

  5. 5. 112

  6. 6. C. Angles on a straight line add up to 180°

  7. 7. 63

  8. 8. C. Vertically opposite angles are equal

  9. 9. 128

  10. 10. C. Vertically opposite angles are equal

  11. 11. 120