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Ch. 3 Review Part II

Ch. 3 Review Part II. Honors Geometry. Ch. 3 Test (Part II) Review. Median: Divides side to which it is drawn into two congruent segments. Altitude: Forms right angles with the side to which it is drawn. D raw all medians/altitudes of triangle Circles: All radii are congruent

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Ch. 3 Review Part II

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  1. Ch. 3 Review Part II Honors Geometry

  2. Ch. 3 Test (Part II) Review • Median: Divides side to which it is drawn into two congruent segments. • Altitude: Forms right angles with the side to which it is drawn. • Draw all medians/altitudes of triangle • Circles: All radii are congruent • Isosceles Triangles: At least two congruent sides and congruent base angles. (Mark sides/angles congruent!!) • Overlapping triangles: Draw triangle separately to label SSS, SAS, or ASA. • Prove triangles congruent by H.L.rt. < • Auxiliary Lines • Properties

  3. Solve for x:

  4. Solution: Mark congruent segments and angles!!!

  5. Sometimes/Always/Never A right triangle has two acute angles.

  6. Sometimes/Always/Never A right triangle has two acute angles. Answer: ALWAYS (one angle is 90 degrees, so sum of other two must equal 90 – must be acute!)

  7. Sometimes/Always/Never An isosceles triangle has a right angle.

  8. Sometimes/Always/Never An isosceles triangle has a right angle.

  9. Sometimes/Always/Never An isosceles triangle has a right angle. Sometimes

  10. Sometimes/Always/Never An acute triangle has three acute angles.

  11. Sometimes/Always/Never An acute triangle has three acute angles. ALWAYS (definition)

  12. Sometimes/Always/Never Triangles are congruent if two pairs of corresponding sides and a pair of corresponding angles are congruent.

  13. Sometimes/Always/Never Triangles are congruent if two pairs of corresponding sides and a pair of corresponding angles are congruent. SOMETIMES (SAS works; SSA doesn’t)

  14. Sometimes/Always/Never If an isosceles triangle has a 40 degree angle, then it has a 70 degree angle.

  15. Sometimes/Always/Never If an isosceles triangle has a 40 degree angle, then it has a 70 degree angle. Sometimes

  16. Sometimes/Always/Never A median of a triangle lies inside the triangle.

  17. Sometimes/Always/Never A median of a triangle lies inside the triangle. ALWAYS

  18. Sometimes/Always/Never An equilateral polygon is also equiangular.

  19. Sometimes/Always/Never An equilateral polygon is also equiangular. SOMETIMES

  20. Sometimes/Always/Never Altitudes of a triangle lie inside the triangle.

  21. Sometimes/Always/Never Altitudes of a triangle lie inside the triangle.

  22. Sometimes/Always/Never Altitudes of a triangle lie inside the triangle. SOMETIMES

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