Ch. 3 Review Part II

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