1. Geometry – SpringBoard 2015 Quarter 2 Hunter Smith ESUMS New Haven Public Schools

2. List of main topics covered on the Quarterly Setting up and solving equations Congruent objects have equal measures Complementary and supplementary Add together two pieces to equal a known total (complementary = 90; supplementary = 180) Transformations Rotations (Positive rotations are CounterClockWise), Reflections, Translations Preimage and Image, Rigid and Non-rigid (Vocabulary); Find one from the other using a rule Infer a rule from Preimage and Image State whether a transformation is Rigid or Non-rigid Image of point or image of shape

3. Shapes Triangles Congruence CPCTC – Corresponding Parts of Congruent Triangles are Congruent Write a congruence statement Exterior angle and their relation to “remote interior angles” Medians and Altitudes (orthocenter, centroid, etc) Quadrilaterals Types of Quadrilaterals (Square, rectangle, rhombus, parallelogram, trapezoid) What angles or sides are congruent? What is parallel? Any relation with the diagonals? Congruent angles and sides Set up equations to solve. Supplementary Angles Set up equations to solve.

4. And some assorted others. Midsegment theorem Perpendicular bisectors Midpoint Bisector Two-Column Proofs Given (usually first or as needed) Prove (last) Definitions Postulates and Theorems Triangle Sum Theorem

5. Section 1

6. Section 2

7. Section 3 Transformations Rotations (Positive rotations are CounterClockWise), Reflections, Translations Preimage and Image, Rigid and Non-rigid (Vocabulary); Find one from the other using a rule Infer a rule from Preimage and Image State whether a transformation is Rigid or Non-rigid Image of point or image of shape

8. Section 4 Triangles Congruence CPCTC – Corresponding Parts of Congruent Triangles are Congruent Write a congruence statement Use the information in the diagram to prove that the two triangles which make up the shape are congruent. Reason Given Reflexive Property (congruent to itself) SSS

9. Exterior angle and their relation to “remote interior angles” Medians and Altitudes (orthocenter, centroid, etc)

10. Altitudes and orthocenter

11. Circumcenter (point where all altitudes meet)

12. Incenter

13. Section 5 What shape(s) has(have) a pair of parallel sides that have different lengths? What shape(s) has(have) four congruent sides? What shape(s) has(have) four right internal angles?

14. Section 6 – More Quadrilaterals