Triangle Congruences SSS SAS AAS ASA HL.

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Proving Triangles Congruent

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Presentation transcript:

Triangle Congruences SSS SAS AAS ASA HL

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

What additional information will allow you to prove the triangles congruent by the HL Theorem?

In triangle ACB, segment CD bisects angle ACB and segment CD is perpendicular to segment AB. Using the given information, which of the following most easily justifies that triangle ACD is congruent to triangle BCD? a. HL c. AAS b. ASA d. AAA

Right triangles ABC and DEF are shown below. The two triangles can be proven congruent by the SSS triangle congruency theorem. Which is a step in that proof?

What additional information is needed to prove the triangles congruent by Angle-Angle-Side method?

In the figure below, SA=UG and Which triangles could you prove congruent by SAS?

In the figure below, point X is the midpoint of . Which statement, when added to the given information, is sufficient to prove that

In each pair of triangles, parts are congruent as marked In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA? A C B D

Supply the missing reasons below. a. ASA; CPCTC b. SSS; Reflexive Property c. SAS; Reflexive Property d. SAS; CPCTC