MATH 161 SAMPLE FINAL EXAM SOLUTIONS 1. Euclidean geometry
... (Note: some books say “for some line ` and some point P not on `...,” so this version would also be acceptable, although it is not very obvious that the two versions are equivalent.) (2) A Saccheri quadrilateral is a quadrilateral ABCD such that AB = CD and the angles ∠B and ∠C are right angles. (No ...
... (Note: some books say “for some line ` and some point P not on `...,” so this version would also be acceptable, although it is not very obvious that the two versions are equivalent.) (2) A Saccheri quadrilateral is a quadrilateral ABCD such that AB = CD and the angles ∠B and ∠C are right angles. (No ...
Geometry Yearlong Curriculum Map
... G-C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Find arc lengths and G-C.5 Derive using similarity the ...
... G-C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Find arc lengths and G-C.5 Derive using similarity the ...
Proportional Segments between Parallel Lines
... Alternate interior angles are congruent if the lines are parallel Corresponding angles are congruent if the lines are parallel Given the picture list all corresponding angles, list all Alternate interior angles (assume lines are ...
... Alternate interior angles are congruent if the lines are parallel Corresponding angles are congruent if the lines are parallel Given the picture list all corresponding angles, list all Alternate interior angles (assume lines are ...
Geometry EOC practice test
... 3. Which of the following statements is true: a. A postulate is a proven fact using theorems, definitions, and undefined terms. b. A theorem is a proven fact using postulates, definitions, and undefined terms. c. Some defined geometric terms are line, plane, and point. d. Some undefined geometry ter ...
... 3. Which of the following statements is true: a. A postulate is a proven fact using theorems, definitions, and undefined terms. b. A theorem is a proven fact using postulates, definitions, and undefined terms. c. Some defined geometric terms are line, plane, and point. d. Some undefined geometry ter ...
An Area Formula for Triangles
... The arguments presented in Exercise 3 part (a) focus on thinking about the circle shown as a dilation of the unit circle and applying the definitions of the sine and cosine functions covered in Algebra II Module 2. Some students may use the right trigonometry ratios they learned in Geometry Module 2 ...
... The arguments presented in Exercise 3 part (a) focus on thinking about the circle shown as a dilation of the unit circle and applying the definitions of the sine and cosine functions covered in Algebra II Module 2. Some students may use the right trigonometry ratios they learned in Geometry Module 2 ...
Homework Help Seminars
... Factoring Quadratics Part 2: How do you solve a problem with a quadratic equation using factoring? In previous seminars we have developed factoring skills. In this seminar we apply them to a word problem. ...
... Factoring Quadratics Part 2: How do you solve a problem with a quadratic equation using factoring? In previous seminars we have developed factoring skills. In this seminar we apply them to a word problem. ...
Proving Triangles congruent sss sas asa aas hl
... All Three sides in one triangle are congruent to all three sides in the other triangle ...
... All Three sides in one triangle are congruent to all three sides in the other triangle ...
Geometry Chapter 3 Test
... 12. Graph the line given by 2 x 3 y 9 . Graph a line parallel to the line and passing through the point (1, 1). Graph a line perpendicular and passing through the point (0, 4). ...
... 12. Graph the line given by 2 x 3 y 9 . Graph a line parallel to the line and passing through the point (1, 1). Graph a line perpendicular and passing through the point (0, 4). ...
