Geometry Proof and Similarity Quiz

What is the first step in setting up a proof problem?

• Write the conclusion first.

• Ignore the given information.

• Solve for unknown variables.

• Identify the given information and draw a diagram.

Which theorem is used to prove that base angles are congruent in an isosceles triangle?

• Pythagorean Theorem

• Vertical Angles Theorem

• Base Angle Theorem

• Alternate Interior Angles Theorem

What property is used when two angles are congruent to a third angle, making them congruent to each other?

• Symmetric Property

• Reflexive Property

• Distributive Property

• Transitive Property

What does it mean when two angles are supplementary?

• They are adjacent.

• They are congruent.

• Their sum is 180 degrees.

• Their sum is 90 degrees.

Which theorem states that if two angles are supplementary to the same angle, they are congruent?

• Corresponding Angles Theorem

• Vertical Angles Theorem

• Alternate Interior Angles Theorem

• Congruent Supplement Theorem

What is the final step in proving a triangle is isosceles?

• Use the definition of congruent triangles.

• Use the definition of similar triangles.

• Use the definition of isosceles triangle.

• Use the Pythagorean Theorem.

What is the angle-angle similarity theorem used for?

• Proving triangles are congruent.

• Finding the hypotenuse of a right triangle.

• Proving triangles are similar.

• Calculating the area of a triangle.

When two triangles are similar, what can be said about their sides?

• The sides are perpendicular.

• The sides are parallel.

• The sides are proportional.

• The sides are equal.

How do you express the length of a side in a similar triangle using proportionality?

• By using the ratio of corresponding sides.

• By using the Pythagorean Theorem.

• By using the difference of the angles.

• By using the sum of the angles.

What is the result of cross-multiplying in a proportionality statement?

• It gives the product of the sides.

• It gives the difference of the sides.

• It gives the sum of the sides.

• It gives the ratio of the sides.