Lesson 4.4 Congruence shortcuts SSS, AAS, SAS (not AAA or ASS)

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1 Review Problems Lesson 1.3 Terminology Lesson 1.4 Polygons Lesson 1.5 Triangles and special quadrilaterals Lesson 2.5 Angle relationships Lesson 2.6 Special angels on parallel lines Chapter 3 Points of concurrency in triangles 1. On a piece of graph paper, draw four separate triangles with vertices at A ( 2, 2), B (0, 10), and C (8, 0). Triangle 1 Draw the altitudes and find the orthocenter Triangle 2 Draw the medians and find the centroid Triangle 3 Draw the perpendicular bisectors and find the circumcenter. Draw the circumscribed circle. Triangle 4 Draw the angle bisectors and find the incenter. Draw the inscribed circle. Lesson 4.1 Triangle sum Lesson 4.4 Congruence shortcuts SSS, AAS, SAS (not AAA or ASS)

2 Lesson 4.5 Congruence shortcuts SSS, AAS, SAS (not AAA or ASS) Lesson 5.1 Polygon Sum Conjecture The Total angle measure = 180 (n 2) where n is the number of sides.

3 Lesson 5.2 Exterior Angles of a polygon The Sum of exterior angles around a polygon is 360 (Sentry Theorem). Lesson 5.3 Kite and Trapezoid properties

4 Lesson 5.4 Properties of midsegments Lesson 5.5 Properties of parallelograms

5 Lesson 6.1 Properties of chords Lesson 6.2 Tangent properties

6 Lesson 6.3 Arcs and angles Lesson 6.4 Perimeter and Diameter of a circle: C = πd or C = 2πr

7 Lesson 6.5 Using perimeter and diameter in problems Lesson 6.6 Arc length

8 Lesson 7.1 Transformations Lesson 8.1 Areas of rectangles and parallelograms Lesson 8.2 Areas of triangles, trapezoids and kites

9 Lesson 8.3 Areas of regular polygons Lesson 8.4 Areas of circles Lesson 8.5 Area problems

10 Lesson 8.6 Surface area Lesson 9.1 Pythagorean theorem

11 Lesson and triangles Lesson 9.5 The distance formula Lesson 9.6 Circles & the Pythagorean Theorem

12 10.1 Geometry of solids 10.2 Volume of prisms and cylinders: V = A base H

13 10.3 Volume of pyramids and cones: V = ⅓A base H 10.6 Volume of a sphere: V = 4 3 πr Surface area a sphere: SA = 4πr 2

14 11.2 Similar triangles 11.3 Using similar triangles

15 11.4 Proportions in similar triangles 11.5 Area and Volume ratios

16 11.6 Proportional segments between parallel lines Chapter 12 Intro to Trigonometry. See handout 12.1 & 12.2.

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