Congruent Triangle Theorems Date 2/13/19 Copy down the EQ Work on Warm Up Essential question How many angle(s) or sides(s) do I need to provide that two triangles are congruent? Warm up: Copy down the Purpose Students will explore the main 4 Triangle Congruence Theorems. In each theorem. students will have determine the criteria's that needs to be met to prove that two triangles are congruent.
Purpose Students will explore the main 4 Triangle Congruence Theorems. In each theorem. students will have determine the criteria's that needs to be met to prove that two triangles are congruent.
Core Concept: Side-Angle-Side Congruence Theorem If two sides and the included angle of one triangle are congruent to two side, then the triangle are congruent
Practice using SAS Congruence Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem No, there is a missing angle Yes No, The second side is no there Yes
Practice using SAS Congruence Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem Yes No, there is a missing angle
Core Concept: Side-Side-Side Congruence Theorem If three sides of one triangle are congruent to three sides of a second triangle, then the two triangle are congruent.
Practice using SSS Congruence Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem Yes No, you only have 2 sides
Decide whether the congruence statement is true Decide whether the congruence statement is true. Explain your reasoning. Yes, by SSS Yes, by SSS Yes, by SSS Yes, by SSS
Core Concept: Angle-Side-Angle Congruence Theorem If two angles and the included side of one triangle are congruent to two angles and included side of a second triangle, then the two triangles are congruent.
Core Concept: Angle-Angle-Side Congruence Theorem If two angle and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Practice determining if two triangle are congruent Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use. Yes, by AAS theorem Yes, by AAS theorem No, there is SSA theorem Yes, by ASA theorem
Congruent Triangle Theorems Date 2/22/19 Turn in yesterday worksheet to the back table No EQ Work The worksheet ASAP Start on this page
SSS, SAS, ASA, and AAS Congruence State if the two triangles are congruent. If they are, state how you know.
SSS, SAS, ASA, and AAS Congruence State if the two triangles are congruent. If they are, state how you know.
SSS, SAS, ASA, and AAS Congruence State if the two triangles are congruent. If they are, state how you know.
SSS, SAS, ASA, and AAS Congruence State what additional information is required in order to know that the triangles are congruent for the reason given.
SSS, SAS, ASA, and AAS Congruence State what additional information is required in order to know that the triangles are congruent for the reason given.
Proof that two triangles are congruent Using a two column, prove that the two triangle are congruent using transformation. Given reflect the left triangle using the vertical line as the line of reflection The two triangle are congruent by using a composition of rigid motion.
Proof that two triangles are congruent Using a two column, prove that the two triangle are congruent using transformation. Given reflect the top triangle using the horizontal line as the line of reflection The two triangle are congruent by using a composition of rigid motion.
Don’t reflect on a point Proof that two triangles are congruent Don’t reflect on a point Reflect only on a line Using a two column, prove that the two triangle are congruent using transformation. Given Rotate the top triangle clockwise so that the two triangle share a congruent side with the bottom triangle reflect the right triangle using the shared congruent line as the line of reflection The two triangle are congruent by using a composition of rigid motion.
Proof that two triangles are congruent Using a two column, prove that the two triangle are congruent using transformation. Given
Proof that two triangles are congruent
Proof that two triangles are congruent
Proof that two triangles are congruent
Proof that two triangles are congruent
Proof that two triangles are congruent
Proof that two triangles are congruent Using a two column, prove that the two triangle are congruent using transformation. Given rotate the right triangle counterclockwise reflect the right triangle about it self over the horizontal translate the right triangle onto the left triangle so they share a congruent side The two triangle are congruent by using a composition of rigid motion.
Proof that two triangles are congruent Using a two column, prove that the two triangle are congruent using transformation. Given rotate the right triangle counterclockwise translate the right triangle onto the left triangle so they share a congruent side The two triangle are congruent by using a composition of rigid motion.