SOLREVIEWSOLREVIEW THE GEOMETRY SOLs Use the arrow keys   to move forward or backward. ( in review )

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Presentation transcript:

SOLREVIEWSOLREVIEW THE GEOMETRY SOLs Use the arrow keys   to move forward or backward. ( in review )

SOLREVIEWSOLREVIEW Conditional Statements “ If p then q. ” C onverse: I nverse: The Law of Syllogism C ontrapositive : =

SOLREVIEWSOLREVIEW Conditional Statements “ If p then q. ” C onverse: The Law of Syllogism C ontrapositive : “ If q then p. ” = I nverse:

SOLREVIEWSOLREVIEW Conditional Statements “ If p then q. ” C onverse: I nverse: The Law of Syllogism C ontrapositive : “ If q then p. ” “ If - p then - q. ” =

SOLREVIEWSOLREVIEW Conditional Statements “ If p then q. ” C onverse: I nverse: The Law of Syllogism C ontrapositive : “ If q then p. ” “ If - p then - q. ” “ If - q then - p. ” =

SOLREVIEWSOLREVIEW Conditional Statements “ If p then q. ” C onverse: I nverse: The Law of Syllogism C ontrapositive : “ If q then p. ” “ If - p then - q. ” “ If - q then - p. ” = The Transitive Property

SOLREVIEWSOLREVIEW Formulas : Slope = Midpoint = Distance = for two points (X 1, Y 1 ) and ( X 2, Y 2 )

SOLREVIEWSOLREVIEW Formulas : Slope = Midpoint = Distance = for two points (X 1, Y 1 ) and ( X 2, Y 2 )

SOLREVIEWSOLREVIEW Formulas : Slope = Midpoint = Distance = for two points (X 1, Y 1 ) and ( X 2, Y 2 )

SOLREVIEWSOLREVIEW Formulas : Slope = Midpoint = Distance = for two points (X 1, Y 1 ) and ( X 2, Y 2 )

SOLREVIEWSOLREVIEW Parallel Lines and Angles

SOLREVIEWSOLREVIEW Corresponding Angles are...

SOLREVIEWSOLREVIEW Parallel Lines and Angles Corresponding Angles are...

SOLREVIEWSOLREVIEW Parallel Lines and Angles Corresponding Angles are... Name them !

SOLREVIEWSOLREVIEW Parallel Lines and Angles Corresponding Angles are... Name them !

SOLREVIEWSOLREVIEW Parallel Lines and Angles Alternate Interior Angles are...

SOLREVIEWSOLREVIEW Parallel Lines and Angles Alternate Interior Angles are...

SOLREVIEWSOLREVIEW Parallel Lines and Angles Alternate Interior Angles are... Name them !

SOLREVIEWSOLREVIEW Parallel Lines and Angles Alternate Interior Angles are... Name them !

SOLREVIEWSOLREVIEW Parallel Lines and Angles Consecutive Interior Angles are...

SOLREVIEWSOLREVIEW Parallel Lines and Angles Consecutive Interior Angles are... Supplementary

SOLREVIEWSOLREVIEW Parallel Lines and Angles Consecutive Interior Angles are... Name them ! Supplementary

SOLREVIEWSOLREVIEW Parallel Lines and Angles Consecutive Interior Angles are... Name them ! Supplementary

SOLREVIEWSOLREVIEW Proving ∆s Congruent

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB the reflexive side

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB alt. int. angles /reflexive side

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB the reflexive side

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABC ∆DEC

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABC ∆DEC

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABC ∆DEC vertical angles

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB

SOLREVIEWSOLREVIEW Proving ∆s Congruent SSS SAS Choose a Method to Prove: ASA AAS HL ∆ABD ∆CDB alt. int. angles /reflexive side

SOLREVIEWSOLREVIEW Angles of Regular Polygons ?

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6 Angles of Regular Polygons ?

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6 Angles of Regular Polygons ? 360˚ The answer for all polygons

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚ Angles of Regular Polygons ?

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚ Angles of Regular Polygons ? 360˚ 6 n

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚60˚ Angles of Regular Polygons ? 60˚

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚60˚ Angles of Regular Polygons ? 60˚ 60˚ + ? = 180˚ (Linear Pair of Angles)

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚60˚120˚ Angles of Regular Polygons ? 120˚

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚60˚120˚ Angles of Regular Polygons ? 120˚ (n)(120˚) (6)(120˚)

SOLREVIEWSOLREVIEW nSum of Ext. <s Each Ext. < Each Int. < Sum of Int. <s 6360˚60˚120˚720˚ Angles of Regular Polygons 120˚ (n)(120˚) (6)(120˚)

SOLREVIEWSOLREVIEW Similar Triangles

SOLREVIEWSOLREVIEW Since ∆ABC ∆EFG, then the scale factor of ∆ABC to ∆EFG is... ~

SOLREVIEWSOLREVIEW Similar Triangles Since ∆ABC ∆EFG, then the scale factor of ∆ABC to ∆EFG is... ~ 2 1 or 2:1

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ E D C

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ Why are the triangles similar? E D C

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ AA Similarity Why are the triangles similar? E D C

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ If AB = 8, AC = 5, BC = 7, CD = 18 then find DE. E D C x

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ If AB = 8, AC = 5, BC = 7, CD = 18 then find DE. E D C x = AB DE BC DC small ∆ big ∆

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ If AB = 8, AC = 5, BC = 7, CD = 18 then find DE. E D C x = 8 x 7

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ If AB = 8, AC = 5, BC = 7, CD = 18 then find DE. E D C x = 8 x 7 (8)(18) = (7)(x) cross multiply

SOLREVIEWSOLREVIEW Similar Triangles ∆ABC ∆ _ _ _ ~ If AB = 8, AC = 5, BC = 7, CD = 18 then find DE. E D C x = 8 x 7 (8)(18) = (7)(x) cross multiply = x

SOLREVIEWSOLREVIEW Right Triangles

SOLREVIEWSOLREVIEW Pythagorean Thm. Special Right Triangles Trig.

SOLREVIEWSOLREVIEW Right Triangles Pythagorean Thm. a b c What is the formula?

SOLREVIEWSOLREVIEW Right Triangles Pythagorean Thm. a b c

SOLREVIEWSOLREVIEW Right Triangles Special Right Triangles

SOLREVIEWSOLREVIEW ˚ ˚ 30˚ Right Triangles Special Right Triangles

SOLREVIEWSOLREVIEW ˚ ˚ 30˚ Right Triangles Special Right Triangles What’s the pattern ?

SOLREVIEWSOLREVIEW ˚ x 2x 60˚ 30˚ Right Triangles Special Right Triangles What’s the pattern ?

SOLREVIEWSOLREVIEW ˚ x 2x 60˚ 30˚ Right Triangles Special Right Triangles What’s the pattern ?

SOLREVIEWSOLREVIEW x x 45˚ x 2x 60˚ 30˚ Right Triangles Special Right Triangles What’s the pattern ?

SOLREVIEWSOLREVIEW Right Triangles Trigonometry

SOLREVIEWSOLREVIEW Right Triangles Trigonometry Angle of Perspective How are the sides labeled ?

SOLREVIEWSOLREVIEW Right Triangles Trigonometry Angle of Perspective Hyp. Adj. Opp.

SOLREVIEWSOLREVIEW Right Triangles Trigonometry Angle of Perspective Hyp. Adj. Opp. What are the 3 Trig. Ratios ?

SOLREVIEWSOLREVIEW Right Triangles Trigonometry Tan. = Opp. Adj. Cos. = Hyp. Adj. Sin. = Hyp. Opp. Angle of Perspective Hyp. Adj. Opp.

SOLREVIEWSOLREVIEW Circle Formulas Angles Segments

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles Name the type of angle.

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Angles What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Segments Intersecting Chords What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Segments Intersecting Chords What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Segments Intersecting Secants What is the formula?

SOLREVIEWSOLREVIEW Circle Formulas Segments Intersecting Secants What is the formula? or