Geometry Theorems Quiz

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Questions and Answers

What is the correct name for the theorem stating that if the hypotenuse and a leg of one right triangle are corresponding and congruent to another hypotenuse and a leg of another right triangle, then the two triangles are congruent?

  • Hypotenuse Leg Theorem (correct)
  • SAS Theorem
  • Vertex Angle Bisector Theorem
  • Angle Bisector Theorem

In an isosceles triangle, what is the relationship between the bisector of the vertex angle and the median?

  • They are perpendicular
  • They are the same (correct)
  • There is no specific relationship
  • They are parallel

What type of triangle is both equilateral and equiangular?

  • Equilateral triangle (correct)
  • Isosceles triangle
  • Right-angled triangle
  • Scalene triangle

In which theorem does a point on the bisector of an angle become equidistant from the sides of the angle?

<p>Angle Bisector Theorem (B)</p> Signup and view all the answers

What does the Triangle Sum Theorem state?

<p>All angles in a triangle add up to 180 degrees (A)</p> Signup and view all the answers

According to the Perpendicular Bisector Theorem, what happens if a point is on the perpendicular bisector of a segment?

<p>It is equidistant from the endpoints (B)</p> Signup and view all the answers

What is stated by the Isosceles Triangle Theorem?

<p>If two sides of a triangle are congruent, then its base angles are congruent (A)</p> Signup and view all the answers

According to the Overlapping Segments Theorem, what happens to the overlapping segments AC and BD if AD has points A, B, C, and D in that order with AB congruent to CD?

<p>They are congruent (D)</p> Signup and view all the answers

What does the Side Angle Inequality Theorem state?

<p>If one side of a triangle is longer than the other side, the angle opposite the longer side is larger than the angle opposite the shorter side (D)</p> Signup and view all the answers

According to the Same Side Interior Angles Theorem, what happens to same side interior angles when two parallel lines are cut by a transversal?

<p>They become supplementary (B)</p> Signup and view all the answers

What does the Midpoint Theorem state?

<p>If M is the midpoint of AB then AM = ½ AB (A)</p> Signup and view all the answers

According to the Alternate Interior Angles Theorem, what happens when two parallel lines are cut by a transversal?

<p>Alternate interior angles are congruent (C)</p> Signup and view all the answers

What does the Vertical Angle Theorem (VAT) state?

<p>If two lines intersect and form a pair of vertical angles, then the vertical angles are congruent (D)</p> Signup and view all the answers

What is stated by the Triangle Inequality Theorem?

<p>The sum of the lengths of any two sides of a triangle is greater than the length of the third side (B)</p> Signup and view all the answers

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