1. Unit 1B2 Day 2

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

3.   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

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

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

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

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

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

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

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

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

12.   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

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