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Theorems in geometry

Quiz by MARY JOY V. DAYO

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20 questions
Show answers
  • Q1
    What does the Pythagorean Theorem state about a right triangle?
    The sum of the angles is equal to 180 degrees
    The square of the hypotenuse is equal to the sum of the squares of the other two sides
    The hypotenuse is longer than the other two sides added together
    The area is half the base times the height
    30s
  • Q2
    Which theorem states that the sum of the interior angles of a triangle is always 180 degrees?
    Pythagorean Theorem
    Exterior Angle Theorem
    Triangle Sum Theorem
    Parallel Postulate
    30s
  • Q3
    What does the Angle Bisector Theorem state regarding a triangle?
    The angle bisector always forms right angles with the base
    The angle bisector is perpendicular to the base
    The angle bisector divides the opposite side into two segments that are proportional to the other two sides
    The angle bisector is equal in length to the sides it divides
    30s
  • Q4
    Which theorem states that if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent?
    Congruent Angle Theorem
    Third Angle Theorem
    Pythagorean Theorem
    ASA Postulate
    30s
  • Q5
    Which theorem states that the base angles of an isosceles triangle are congruent?
    Triangle Sum Theorem
    Pythagorean Theorem
    Isosceles Triangle Theorem
    Angle Addition Postulate
    30s
  • Q6
    What does the Midpoint Theorem state in geometry?
    The sum of the lengths of any two sides of a triangle is greater than the length of the third side
    The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length
    The line segment bisecting two angles of a triangle is always perpendicular
    The centroid divides each median into two segments with a 2:1 ratio
    30s
  • Q7
    Which theorem states that the opposite angles of a parallelogram are congruent?
    Angle Bisector Theorem
    Opposite Angles Theorem
    Consecutive Angles Theorem
    Parallel Lines Theorem
    30s
  • Q8
    Which theorem states that in a right triangle, the altitude drawn to the hypotenuse creates two triangles that are similar to the original triangle and to each other?
    Altitude-on-Hypotenuse Theorem
    Exterior Angle Theorem
    Angle Bisector Theorem
    Triangle Midsegment Theorem
    30s
  • Q9
    Which theorem states that the sum of the exterior angles of a polygon is always 360 degrees?
    Interior Angle Sum Theorem
    Exterior Angle Sum Theorem
    Alternate Interior Angles Theorem
    Vertical Angles Theorem
    30s
  • Q10
    Which theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles?
    Vertical Angles Theorem
    Alternate Interior Angles Theorem
    Exterior Angle Theorem
    Corresponding Angles Theorem
    30s
  • Q11
    Which theorem states that the sum of the angles in a triangle is equal to 180 degrees?
    Triangle Sum Theorem
    Congruent Supplements Theorem
    Vertical Angles Theorem
    Pythagorean Theorem
    30s
  • Q12
    What does the Pythagorean Theorem state for a right-angled triangle?
    The angles of a triangle sum up to 360 degrees.
    The area of a triangle is base times height divided by two.
    The opposite angles are equal.
    The square of the hypotenuse is equal to the sum of the squares of the other two sides.
    30s
  • Q13
    Which theorem states that if two angles are complementary, their measures add up to 90 degrees?
    Vertical Angles Theorem
    Supplementary Angles Theorem
    Alternate Interior Angles Theorem
    Complementary Angles Theorem
    30s
  • Q14
    What is the theorem that states opposite sides of a parallelogram are equal in length?
    Alternate Interior Angles Theorem
    Opposite Angles Theorem
    Opposite Sides Theorem
    Triangle Inequality Theorem
    30s
  • Q15
    Which theorem in geometry is used to prove triangles congruent when two sides and the included angle are known?
    SSS Congruence Theorem
    SAS Congruence Theorem
    AAS Congruence Theorem
    ASA Congruence Theorem
    30s

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