* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Geometry
Analytic geometry wikipedia , lookup
Conic section wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Multilateration wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Rational trigonometry wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Name____________________ Date ___________ Period ___ Geometry Chapter 3 Test Section: 5 points each Basic: 1 Correct: 3 points Proficient: 2 Correct: 4 points Advanced: 3 Correct: 6 points MUST SHOW ALL WORK FOR FULL CREDIT! Section 1: Properties of Parallel Lines – B. What type of angles are <3 and <8 in the diagram to the right? (vertical, corresponding, same-side interior, or alternate-interior) P. Solve for x if c//d. A. Find m<1 and m<2. < 1 = _______ < 2 = _______ Section 2: Parallel Lines and the Triangle Angle-Sum Theorem – B. Solve for < 1. A. Solve for < x. P. Find the value of x. Section 3: The Polygon Angle-Sum Theorems – B. Find the missing angle measure. P. Solve for <A. A. The sum of the measures of the angles of a regular polygon is 4320. How many sides does the polygon have? Section 4: The Polygon Angle-Sum Theorems – B. Classify the following polygon by its sides and then tell whether it is convex or concave. P. What is the measure of one exterior angle of a regular nonagon? A. Solve for x and y. <x = __________ <y = __________ Section 5: Lines in a Coordinate Plane – 2 B. Graph the line: y = x 8 . P. Find the slope of the line containing the 5 points A(12, 2) and B(6, -8). A. Write the slope-intercept equation for the line connecting A and B in part “P” above. Section 6: Lines in a Coordinate Plane – B. Graph the line using intercepts. 10x + 5y = 40 x intercept _____________ y intercept ______________ P Write an equation in point-slope for a line described as having a slope of -2 and crossing through the point (-1, 13). A. . Write equations for the horizontal line and the vertical line that contain the point (5, -3). Horizontal: ___________________ Vertical: _____________________ Section 7: Slopes of Parallel and Perpendicular Lines – B. Are the lines parallel, perpendicular, or neither? y = -3x – 2 3y + 9x = 12 P. What is the slope of the line perpendicular to 5x – 4y = 20? A. Write an equation for the line that is parallel to -21x -7y = 7 that contains point C(-2, 4). Section 8: Chapter 1 and 2 Review – B. Write the converse. Original: If two angles are alternate-interior, then they are congruent. Converse: P. Find (or draw and explain) a counterexample to the original and another to the converse statements in part “B” above. Original : Converse: A. Find the measure of <A described below. <A and <B are supplementary. m<A = 2x – 9 and m<B = 3x + 1. Section 9: Chapter 1 and 2 Review – B. If segment MP is 107 feet long, what is the measure of segment RP? P. Find the area of a circle with radius of 12 meters. Leave your answer in terms of π. A. Find the distance between the points A(-3, -3) and B(4, 2) to the nearest tenth. d x2 x1 2 y2 y1 2 Section 10: VOCAB – _____ 1. Slope-Intercept Form _____ 2. Conditional _____ 3. Midpoint _____ _____ _____ _____ _____ 4. 5. 6. 7. 8. Concave Equiangular Line Distributive Property Parallel Lines _____ _____ _____ _____ _____ _____ _____ 9. Point-Slope Form 10. Complimentary 11. Supplementary 12. Convex 13. Vertical angles 14. Equilateral 15. Transversal A. a point that divides a segment into 2 equal segments. B. all < congruent C. Series of points that extends in opposite directions with no end D. Diagonals on outside E. 2 < add up to 90 degrees F. y = 8x + 9 G. 2 coplanar lines with no intersection H. A line that intersects 2 coplanar lines at 2 points I. If-then statement J. Interior diagonals K. a(b +c) = ab + bc L. y – 2 = 4(x + 3) M. all sides congruent N. 2 < add up to 180 degrees O.