Related Topics:

Lesson Plans and Worksheets for Geometry

Lesson Plans and Worksheets for all Grades

More Lessons for Geometry

Common Core For Geometry

Student Outcomes

- Students examine the basic geometric assumptions from which all other facts can be derived.
- Students review the principles addressed in Module 1.

**Review of the Assumptions (Axioms)**

Classwork

**Review Exercises**

Given two triangles π΄π΅πΆ and
π΄β²π΅β²πΆβ² so that π΄π΅ = π΄β²π΅β² (Side),
πβ π΄ = πβ π΄β² (Angle), and
π΄πΆ = π΄
β²πΆ
β²
(Side), then the triangles
are congruent.

[SAS]

Given two triangles π΄π΅πΆ and
π΄β²π΅β²πΆβ², if πβ π΄ = πβ π΄β² (Angle),
π΄π΅ = π΄β²π΅β² (Side), and πβ π΅ = πβ π΅β²
(Angle), then the triangles are
congruent.

[ASA]

Given two triangles π΄π΅πΆ and
π΄β²π΅β²πΆβ², if π΄π΅ = π΄β²π΅β² (Side),
π΄πΆ = π΄β²πΆβ² (Side), and π΅πΆ = π΅β²πΆβ²
(Side), then the triangles are
congruent.

[SSS]

Given two triangles π΄π΅πΆ and
π΄β²π΅β²πΆβ², if π΄π΅ = π΄β²π΅β² (Side),
πβ π΅ = πβ π΅β² (Angle), and
πβ πΆ = πβ πΆβ² (Angle), then the
triangles are congruent.

[AAS]

Given two right triangles π΄π΅πΆ and
π΄β²π΅β²πΆβ² with right angles β π΅ and β π΅β²,
if π΄π΅ = π΄β²π΅β² (Leg) and π΄πΆ = π΄β²πΆβ²
(Hypotenuse), then the triangles are
congruent.

[HL]

The opposite sides of a parallelogram
are congruent.

The opposite angles of a
parallelogram are congruent.

The diagonals of a parallelogram
bisect each other.

The midsegment of a triangle is a line segment that connects the midpoints of two sides of a triangle; the midsegment is parallel to the third side of the triangle and is half the length of the third side.

The three medians of a triangle are concurrent at the centroid; the centroid divides each median into two parts, from vertex to centroid and centroid to midpoint, in a ratio of 2:1.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.