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Ch. 1 Review

Ch. 1 Review. Honors Geometry. Test Topics (sections 1.1-1.5). Naming geometric figures Union/intersection Degree conversions Congruence Writing/Solving Equations Clock problems Assumptions (straight angles) Basic 1 Step Proofs (if/then statements). Test Topics.

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Ch. 1 Review

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  1. Ch. 1 Review Honors Geometry

  2. Test Topics (sections 1.1-1.5) • Naming geometric figures • Union/intersection • Degree conversions • Congruence • Writing/Solving Equations • Clock problems • Assumptions (straight angles) • Basic 1 Step Proofs (if/then statements)

  3. Test Topics • Basic 2 col proofs (be able to fill in steps) • Bisectors/Trisectors/Midpoints • Ratio Problems • Converse/Inverse/Contrapositive

  4. Test Reminders • Bring notebook for notebook check! • Bring a calculator • Have review completed • Test is 25% of grade – no retakes! • Make sure you prepare to finish in 50 min • If then statements must match given info!

  5. Clock Problems • Calculate the measure of the angle created by the hands of a clock at 2:50. 145 Degrees

  6. Ratio Problems • If a 15 cm segment is divided in a 2:3 ratio, how long is the smaller segment? • 6 cm • If a right angle is divided in a 4:5 ratio, how large is the larger angle? • 50 degrees

  7. Intersection/Union • =

  8. Intersection/Union • =

  9. One-Step Proofs Given: Prove: CBE If an angle is bisected, then it is divided into two congruent angles.

  10. One-Step Proof Given: Prove: E is a midpoint If a point divides a segment into two congruent segments, then it is a midpoint.

  11. One-Step Proof Given: Prove: B If angles are right angles, then they are congruent.

  12. One-Step Proof Given: m m Prove: If segments have the same measure, then they are congruent.

  13. Logic Statements “If you live in Cincinnati, then you live in Ohio.” Converse: Inverse: Contrapositive: (Is each statement true or false?)

  14. Logic Statements “If you live in Cincinnati, then you live in Ohio.” Converse (False): “If you live in Ohio, then you live in Cincinnati.” Inverse (False): “If you do not live in Cincinnati, then you do not live in Ohio.” Contrapositive (True): “If you do not live in Ohio, then you do not live in Cincinnati.”

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