Unit 1B2 Day 2

  Tell whether it is possible to create each of the following:  acute scalene triangle  obtuse equilateral triangle  right isosceles triangle  scalene equiangular triangle  right scalene triangle Do now

  Informal: Two figures are congruent if they have exactly the same size and shapes.  Two figures are congruent if and only if their corresponding parts are congruent.  Definition of congruent triangles: all _________ pairs of corresponding sides congruent; all _________ pairs of corresponding angles congruent. Congruence

  Are the two triangles congruent? Use the definition of congruent triangles. If so, write a congruence statement. Ex. 1: Proving Congruence

  In the diagram, NPLM ≅ EFGH. Find the values of x and y. Ex. 1A: Congruent Figures

  If two angles of one triangle are congruent to two angles of another triangle, then ______________________ __________________________________ Third Angles Theorem

  Find the value of x. Ex. 2: Third Angles Theorem

  In the diagram, ABCD ≅ KJHL. Find the values of x and y. Ex. 2A

  Determine whether the triangles are congruent. Justify your reasoning. Ex. 3: Determining Congruence

  Decide whether the triangles are congruent. Justify your reasoning. Ex. 3A

  Given: AB || DC, AB ≅ DC, E is the midpoint of BC and AD.  Prove: Δ AEB ≅ Δ DEC Ex. 4: Proving Congruence

  Reflexive property of congruent triangles: Every triangle is congruent to ____________.  Symmetric property of congruent triangles: If Δ ABC ≅ Δ DEF, then _________________  Transitive property of congruent triangles: If Δ ABC ≅ Δ DEF and Δ DEF ≅ Δ JKL, then ______________. Properties of Congruent Triangles

  If Δ GHJ ≅ Δ MNP, what corresponding angles and sides are congruent? Closure