Presentation is loading. Please wait.

Presentation is loading. Please wait.

Proving Triangles Congruent. Angle-Side- Angle (ASA) 1.  A   D 2. AB  DE 3.  B   E  ABC   DEF B A C E D F included side.

Similar presentations


Presentation on theme: "Proving Triangles Congruent. Angle-Side- Angle (ASA) 1.  A   D 2. AB  DE 3.  B   E  ABC   DEF B A C E D F included side."— Presentation transcript:

1 Proving Triangles Congruent

2 Angle-Side- Angle (ASA) 1.  A   D 2. AB  DE 3.  B   E  ABC   DEF B A C E D F included side

3 The side between two angles Included Side GI HI GH

4 Name the included angle:  Y and  E  E and  S  S and  Y Included Side SY E YE ES SY

5 Angle-Angle-Side (AAS) 1.  A   D 2.  B   E 3. BC  EF  ABC   DEF B A C E D F Non-included side

6 Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!

7 Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT

8 Hypotenuse Leg (HL) If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

9 The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence  AAA correspondence

10 Name That Postulate SAS ASA SSS SSA (when possible)

11 Name That Postulate (when possible) HL SAS AAA SSA

12 Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA

13 Name That Postulate (when possible)

14 Name That Postulate

15 Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS:  B   D For AAS: A  F A  F AC  FE


Download ppt "Proving Triangles Congruent. Angle-Side- Angle (ASA) 1.  A   D 2. AB  DE 3.  B   E  ABC   DEF B A C E D F included side."

Similar presentations


Ads by Google