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Transcript
Geometry - Practice Problems for Midterm (Chapters 1 -6) 1. Write a triangle congruence statement and name the postulate or theorem that verifies the congruence. 2. If the measures of two sides of a triangle are 4 and 6, what are all the possible measures of the third side, x? 3. If triangle ABC is congruent to triangle DEF, write all the congruent parts. 4. Find the coordinates of the midpoint A (4,6) B (-2, 8) What is the length of AB? What is the slope of AB. 5. What is the slope-intercept form of the equation of the line containing A and B? 6. Give the slope-intercept from of the line parallel to AB and containing the point (-2,5). Give the slope-intercept form of the line perpendicular to AB and containing the same point. 7. Draw and label the following: a) scalene triangle b) right triangle c) obtuse triangle d) isosceles triangle e) acute triangle f)acute angle g) right angle h) obtuse angle i) a linear pair 8. KLMN is a trapezoid. KM is 15 in. and the midsegment is 20 in. What is MN? 9. Use sometimes, always, never - Vertical angles are _______________ supplementary. A linear pair is ______________________ supplementary. Alternate exterior angles are ___________________ congruent. A square is ________________ a rhombus. Consecutive interior angles are _________________ congruent. 10. Write the converse, inverse, contrapositive, and biconditional (if possible) of the following statement: If point A and point B are on the same plane, then points A and B are coplanar. 11. List angles from smallest to largest 12. For triangle FGH. m<F = 3x – 1 m<G = 3x + 10 and m<H = 2x – 5. Find x. 13.What is the degree measure of each interior angle of a regular hexagon? 14.<A and <B are complementary. m<A = 35. What is m<B? 15. <D and <E are supplementary. m<D = 85. What is m<E? 16. Write the following: Ray AB, line AB, segment AB, Line AB is parallel to line CD, line AB is perpendicular to line CD 17.CDRT is a trapezoid with CD congruent to RT. m<C = 60. Find m<D. 18.Draw an example of : opposite rays, concave polygon, convex polygon, regular polygon Draw examples of: a) perpendicular bisectors b) angle bisectors c) altitudes for triangles. Show the points of concurrency and label them. 19. What is the triangle midsegment theorem. Show an example. d) medians 6 – 8 Find x 9. If <6 = 65 degrees. What are the rest of the angle measures?