Exploring CPCTC and HL in Geometry

What is the initial given statement in the fun example involving Sully, Kelly, and Brust?

• Kelly is greater than Sully

• Sully is greater than Kelly

• Brust is greater than Kelly

• Kelly is greater than Brust

What property is used to conclude that Brust is better than Kelly?

• Distributive Property

• Reflexive Property

• Symmetric Property

• Transitive Property

Which of the following is NOT a method to prove triangles congruent?

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side

• Angle-Angle-Angle

In the example, what is the reason given for the congruence of angle XJH and angle JHI?

• They are supplementary angles

• They are vertical angles

• They are alternate interior angles

• They are corresponding angles

What property is used to state that JH is congruent to JH?

• Transitive Property

• Symmetric Property

• Distributive Property

• Reflexive Property

What is the final step in proving that two triangles are congruent?

• Using the Pythagorean theorem

• Proving all angles are equal

• Proving all sides are equal

• Using CPCTC to show corresponding parts are congruent

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Corresponding

• Corresponding Parts of Congruent Triangles are Corresponding

When does the angle-side-side method work for proving triangles congruent?

• When there is a right angle

• When the triangles are equilateral

• When the triangles are isosceles

• When the triangles are scalene

What additional information is needed to use the hypotenuse-leg theorem?

• The triangles must be isosceles

• The triangles must be equilateral

• The triangles must have a right angle

• The triangles must be scalene

What is the definition of right triangles used for in the hypotenuse-leg theorem?

• To show that the triangles are scalene

• To show that the triangles are isosceles

• To show that the triangles are equilateral

• To show that the triangles have a right angle