Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Euler angles wikipedia , lookup
Apollonian network wikipedia , lookup
History of geometry wikipedia , lookup
Golden ratio wikipedia , lookup
Line (geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
Honors Geometry Review for Final Name____________________ Date____________________ Always – Sometimes – Never If the blank space in each of the following exercises is replaced by the word Always, Sometimes, or Never, the resulting statement will be true. Select the word that will correctly complete each statement. 1. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are _____ congruent. 2. A chord of a circle is _____ a diameter of the circle. 3. An obtuse triangle is _____ isosceles. 4. A bisector of a line segment _____ passes through the midpoint of the segment. 5. An altitude drawn to a side of the triangle _____ passes through the midpoint of that side. 6. Two different circles which have the same center are _____ concentric circles 7. The length of a radius of a circle is _____ half of the length of a diameter. 8. If two angles are complementary, a side of one angle is _____ perpendicular to a side of the other angle. 9. An exterior angle of a right triangle is _____ an acute angle. 10. The diagonals of a rectangle are _____ congruent. 11. If the diagonals of a quadrilateral are perpendicular to each other, the quadrilateral is _____ a parallelogram. 12. If two lines are cut by a transversal, then the bisectors of a pair of interior angles on the same side of the transversal are _____ perpendicular to each other. 13. The bisectors of two opposite angles of a parallelogram ______ coincide. 14. If the diagonals of a parallelogram are unequal in length and are perpendicular to each other, the parallelogram is _____ a square. ASN Final Review.doc Miss Jo Ann Fricker Lower Moreland HS Honors Geometry Review for Final 15. Page 2 The diagonals of a trapezoid are _____ congruent. ASN Final Review.doc Miss Jo Ann Fricker Lower Moreland HS Honors Geometry Review for Final Page 3 16. All three exterior angles of a triangle are _____ acute. 17. The complement of an angle is _____ an obtuse angle. 18. If AB is the perpendicular bisector of CD , then CD is _____ the perpendicular bisector of AB . 19. In a triangle, two medians are _____ congruent. 20. A leg of a right triangle is _____ one of the altitudes of the triangle. 21. The median drawn to a side in an isosceles triangle is _____ perpendicular to that side. 22. A line segment that joins the midpoints of two adjacent sides of a triangle, cuts off a triangle which is _____ similar to the original triangle. 23. An equilateral triangle is _____ congruent to a right triangle. 24. The median to the base of an isosceles triangle _____ bisects the vertex angle. 25. A point on the perpendicular bisector of a line segment is _____ equidistant from the end of the segment. 26. If two straight lines intersect, the vertical angles formed are _____ congruent. 27. A theorem is _____ a statement whose truth is assumed. 28. A line segment that joins the midpoint of two adjacent sides of a triangle is _____ parallel to the third side. 29. If two angles are complementary to the same angle, they are _____ complementary to each other. 30. If the conditional statement, “If p, then q” is true, and if the hypothesis p is true, then the conclusion q is _____ true. 31. If a vertex angle of one isosceles triangle is congruent to the vertex angle of another isosceles triangle, the two triangles are _____ similar. 32. A median in a triangle _____ divides the triangle into two similar triangles. ASN Final Review.doc Miss Jo Ann Fricker Lower Moreland HS Honors Geometry Review for Final Page 4 33. If in two triangles, the lengths of corresponding sides are in proportion, the polygons are _____ similar. 34. If two chords of a circle intersect, the product of the lengths of the segments of one chord is _____ equal to the product of the lengths of the segments of the other chord. 35. If two angles of a triangle measure 30˚ and 60˚, the length of the side opposite the 60˚ angle is _____ twice the length of the side opposite the 30˚ angle. 36. A rhombus whose side measures 8 inches _____ has a diagonal 16 inches long. 37. A diagonal of a rhombus is _____ congruent to a side of the rhombus. 38. In a right triangle, the length of the altitude drawn to the hypotenuse is _____ the geometric mean between the lengths of the segments of the hypotenuse. 39. Two rectangles of equal area _____ have unequal perimeters. 40. If the dimensions of a rectangle are doubled, then its area is _____ doubled. 41. A line segment that joins the midpoints of two adjacent sides of a parallelogram _____ cuts off a triangle that is equal in area to one-eighth of the area of the parallelogram. 42. The perimeter of the small triangle formed by connecting the midpoints of the sides of a large triangle is _____ one-fourth the perimeter of the large triangle. 43. The area of the small triangle formed by connecting the midpoints of the sides of a large triangle is _____ one-fourth the area of the large triangle. 44. The area of a rhombus _____ equals the product of its diagonals. 45. A diagonal of a trapezoid _____ divides the trapezoid into two triangles of equal area. ASN Final Review.doc Miss Jo Ann Fricker Lower Moreland HS Honors Geometry Review for Final 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. S S S A S A A S N A S S S N S ASN Final Review.doc Page 5 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. N N S S A S A N A A A N A S S A S 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. A A N N S A S N A N A N N Miss Jo Ann Fricker Lower Moreland HS