Section

Competency

Representative Problem(s)

1

Recall that the sum of the measures of the angles in a triangle is 180°. Be able to determine the measures of unknown angles in a triangle.

5.1: 3,7

2

Recall that the base angles of an isosceles triangle are congruent.

5.2: 5

2

Identify the base, base angles, and vertex angle of an isosceles triangle.

(Look @ top of p. 232)

3

Recall that the sum of the remote interior angles of a triangle is equal to the exterior angle.

5.3: 17

3

Know that the sum of two sides of a triangle is always greater than the third side, and that the longest side of a triangle is always opposite its largest angle.

5.3: 1,3,10

4,5

Be able to draw triangles given the measures of sides and angles. Know whether or not you are guaranteed to get the same triangle every time you draw this triangle.

Draw ∆ABC where m(angle)A=40, , and . Will all triangles like this be congruent? Why?

4,5

Be able to indicate which congruence conjecture, if any, guarantees that two triangles are congruent.

5.5: 6 - 11

6

Be able to create a proof (from scratch) for the congruence of corresponding parts of congruent triangles from given information. The proof may be in flow chart or paragraph form.

5.6: 2,4,10

7

Recall that the angle bisector of the vertex angle in an isosceles triangle is the perpendicular bisector of the base and a median.

5.7: 1,2

6

Be able to fill either statements or justifications in a more complicated proof.

5.6: 12