Exploring Geometric Proofs in CPM Integrated II

This video tutorial covers geometric proofs, focusing on properties of rhombuses, isosceles triangles, rectangles, and trapezoids. It demonstrates how to use two-column proofs and the reflexive property to establish congruence and bisect angles. The tutorial also explains the use of CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to prove various geometric properties.

Why is it important to have a plan before starting a geometric proof?

• To save time

• All of the above

• To avoid mistakes

• To ensure all steps are covered

What property is used to show that a side is congruent to itself in a proof?

• Reflexive Property

• Transitive Property

• Symmetric Property

• Substitution Property

In a rhombus, what do the diagonals do to the angles they intersect?

• None of the above

• Double them

• Bisect them

• Make them congruent

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Corresponding

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

What is the definition of an isosceles triangle?

• A triangle with all sides equal

• A triangle with two sides equal

• A triangle with no sides equal

• A triangle with all angles equal

What is the definition of a rectangle?

• A quadrilateral with one pair of parallel sides

• A quadrilateral with four congruent sides

• A quadrilateral with two pairs of parallel sides

• A quadrilateral with four right angles

Which property is used to prove that the diagonals of a rectangle are congruent?

• Side-Side-Side

• Angle-Angle-Side

• Side-Angle-Side

• Angle-Side-Angle

What is the first step in proving that a trapezoid is isosceles?

• Prove the diagonals are congruent

• Prove the sides are parallel

• Prove the angles are supplementary

• Prove the base angles are congruent

What method is used to show that two segments add up to a larger segment?

• Segment Division

• Segment Multiplication

• Segment Subtraction

• Segment Addition

What is the final step in proving that a trapezoid is isosceles?

• Using the definition of an isosceles trapezoid

• Using the definition of an isosceles triangle

• Using the definition of a rectangle

• Using the definition of a trapezoid