Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)
Book image
Explore Book Buy On Amazon

In geometry, you may be given specific information about a triangle and in turn be asked to prove something specific about it. The following example requires that you use the SAS property to prove that a triangle is congruent.

Practice questions

Use the following figure to answer each question.




bisect each other at B.



The following questions ask you to fill in the blanks in the table.

  1. What is the reason for Statement 2?

  2. What is the statement for Reason 3?

  3. What is the reason for Statement 4?

  4. What is the reason for Statement 5?

  5. What is the reason for Statement 6?

Answers and explanations

  1. A bisector divides a segment into two congruent segments.

    A bisector divides a segment or angle into two congruent parts, so

  2. image5.png

    are vertical angles.

    Intersecting lines form vertical angles.

  3. If two angles are vertical angles, then they're congruent.

    Vertical angles are congruent, so

  4. SAS

    If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent by SAS (side-angle-side). Therefore,

  5. CPCTC

    Corresponding parts of congruent triangles are congruent to each other, so


About This Article

This article is from the book:

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

This article can be found in the category: