Congruent Triangles Graphic Organizer



Accelerated Geometry Name______________________________

Geometry Prerequisite Notes Date_______________________________

Congruent Triangles Vs. Similar Triangles Graphic Organizer

|Congruent Triangles ([pic]) |Similar Triangles ([pic]) |

|Having the same size and shape. All corresponding parts are equal. |Having the same shape, but not necessarily the same size. All corresponding angles |

| |are equal and corresponding sides are proportional. |

|Geometric Transformations |

|Isometries |Dilation- |

|Translation, Reflection, Rotation |Transformation that changes the size of a figure, but not the shape. |

| |(x, y) (kx, ky) |

| |k is called the scale factor. |

|Proving Triangles Congruent and Similar |

|Term/ |Definition/Explanation |Term/ |Definition/ |Diagram |

|Postulate | |Postulate |Explanation | |

| |If 3 sides of 1 triangle are congruent to 3|Side – Side - Side |If the three sides of one | |

| |sides of another triangle, then the 2 |SSS |triangle are proportional to | |

|Side – Side - Side |triangles are congruent. | |the three corresponding sides|[pic] |

|SSS | | |of another triangle, then the| |

| | | |triangles are similar |ρABC ∼ ρDEF |

| |If 2 sides and the included angle of one |Side-Angle-Side |If two sides of one triangle |[pic] |

| |triangle are congruent to 2 sides and the |SAS |are proportional to two sides| |

| |included angle of another triangle, then | |of another triangle and their| |

|Side-Angle-Side |the 2 triangles are congruent. | |included angles are |ρABC ∼ ρDEF |

|SAS | | |congruent, then the triangles| |

| | | |are similar. | |

| |If 2 angles and the included side of one |Angle- Angle |If two angles of one triangle|[pic] |

| |triangle are congruent to 2 angles and the |AA |are congruent to two angles |ρABC ∼ ρDEF |

|Angle – Side - Angle |included side of another triangle, then the| |of another triangle, then the| |

| |2 triangles are congruent. | |triangles are similar. | |

|ASA | | | | |

| |If 2 angles and one non-included side of | |

| |one triangle are congruent to 2 angles and | |

| |one non-included side of another triangle, | |

|Angle-Angle-Side |then the 2 triangles are congruent. | |

|AAS | | |

Vocabulary

|Word |Definition/Rule |Illustration/Example |

|Complmentary Angles | | |

|Linear Pair | | |

|Vertical Angles | | |

|Adjacent Angles | | |

|Alternate Interior Angles | | |

|Corresponding Angles | | |

|Alternate Exterior Angles | | |

|Triangle Angle Sum Theorem | | |

|Exterior Angle Theorem | | |

|Scalene Triangle | | |

|Isosceles Triangle | | |

|Angle Bisectors | | |

|Incenter | | |

|Medians | | |

|Centroid | | |

|Midsegment Theorem | | |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download