14 Questions
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
In an isosceles triangle, what is the relationship between the bisector of the vertex angle and the median?
They are the same
What type of triangle is both equilateral and equiangular?
Equilateral triangle
In which theorem does a point on the bisector of an angle become equidistant from the sides of the angle?
Angle Bisector Theorem
What does the Triangle Sum Theorem state?
All angles in a triangle add up to 180 degrees
According to the Perpendicular Bisector Theorem, what happens if a point is on the perpendicular bisector of a segment?
It is equidistant from the endpoints
What is stated by the Isosceles Triangle Theorem?
If two sides of a triangle are congruent, then its base angles are congruent
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?
They are congruent
What does the Side Angle Inequality Theorem state?
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
According to the Same Side Interior Angles Theorem, what happens to same side interior angles when two parallel lines are cut by a transversal?
They become supplementary
What does the Midpoint Theorem state?
If M is the midpoint of AB then AM = ½ AB
According to the Alternate Interior Angles Theorem, what happens when two parallel lines are cut by a transversal?
Alternate interior angles are congruent
What does the Vertical Angle Theorem (VAT) state?
If two lines intersect and form a pair of vertical angles, then the vertical angles are congruent
What is stated by the Triangle Inequality Theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side
Test your knowledge of geometry theorems with this quiz. Questions cover the Vertical Angle Theorem, Midpoint Theorem, Overlapping Segments Theorem, Overlapping Angles Theorem, and more.
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