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This comprehensive test review covers naming figures, congruence, proofs, ratio problems, basic logic statements, and clock problems. Prepare effectively with included test reminders. Ensure a strong grasp of geometric concepts for success!
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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 • Basic 2 col proofs (be able to fill in steps) • Bisectors/Trisectors/Midpoints • Ratio Problems • Converse/Inverse/Contrapositive
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!
Clock Problems • Calculate the measure of the angle created by the hands of a clock at 2:50. 145 Degrees
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
One-Step Proofs Given: Prove: CBE If an angle is bisected, then it is divided into two congruent angles.
One-Step Proof Given: Prove: E is a midpoint If a point divides a segment into two congruent segments, then it is a midpoint.
One-Step Proof Given: Prove: B If angles are right angles, then they are congruent.
One-Step Proof Given: m m Prove: If segments have the same measure, then they are congruent.
Logic Statements “If you live in Cincinnati, then you live in Ohio.” Converse: Inverse: Contrapositive: (Is each statement true or false?)
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.”