2) Draw a labeled example of : a) a ray b) a line c) a segment. 5) Which triangle congruency conjecture would be used for each of the following?

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1 eometry Semester Final Review Name Period ) raw an example of four collinear points. 2) raw a labeled example of : a) a ray b) a line c) a segment 3) Name this angle four ways: 4) raw a concave polygon and a convex polygon. 5) Which triangle congruency conjecture would be used for each of the following? a) P b) W X c) N Q U T S O R Y Z I X d) I e) N X S T W Z Y Kruzich 204

2 6) Name all of the congruent parts of the following two congruent figures (sides and angles). R W S 7) raw an example of Vertical ngles. What do we know about vertical angles? T 8) raw an example of orresponding ngles. What do we know about corresponding angles when lines are parallel? 9) raw an example of lternate Interior ngles. What do we know about alternate interior angles when lines are parallel? 0) raw an example of an exterior angle of a triangle. What do we know about exterior angles of triangles? ) What is the degree measure of? 2x+5 L 20x 6x+5 2 Kruzich 204

3 2) Point is the centroid of. Find the length of X,, and if =2cm, Y =6cm and Z =8cm. X X Y Z 3) onstruct (duplicate). Then onstruct the angle bisector of. Then label the bisector. 4) onstruct the Orthocenter of JKL. What are the intersecting line segments called? J K L 5) onstruct the Incenter of JKL and the ircumcenter of. What are the intersecting line segments of each point of concurrency called? J K L 3 Kruzich 204

4 6) Find the rules for the following sequences. Use the form f(n) = mn + b. Find the 20 th term. n n 20 f(n) n n 20 f(n) ) hoose from the list of terms provided to complete each statement. ach term may be used more than once. ngle isector onstruction Perpendicular isector entroid raw Perpendicular Segment ircumcenter Incenter Orthocenter oncurrency Midpoint Sketch a. Points equidistant from both sides of an angle lie on the. b. This command has you create a picture using a compass and a straightedge:. c. The center of a circle, circumscribed about a triangle is called the. d. This point of concurrency in a triangle is where the triangle s three medians intersect.. e. This point of concurrency in a triangle is where the triangle s three angle bisectors intersect.. f. The point of intersection is called the point of. g. This command has you create a picture using a ruler and protractor:. h. The center of gravity in a triangle can be found at the. i. The POINT on a segment, equidistant from the endpoints of the same segment is called the. j. The shortest distance from a point to a line is measured along the from the point to the line. k. Points, not on a segment, equidistant from the endpoints of the segment lie on the. l. This command has you create a picture using free hand:. m. The center of a circle, inscribed in a triangle is called the. n. This point of concurrency in a triangle is found where the triangle s three altitudes intersect.. o. This point of concurrency in a triangle is found where the triangle s three perpendicular bisectors intersect.. 4 Kruzich 204

5 8) onstruct a perpendicular bisector to. 9) Find the value of x. x 40cm F 50cm 20) Write the midpoint formula. 2) Write the slope formula. 22) You are given triangle with vertices at (4,6), (2,3) and (7, -3). Find the midpoints of sides and. Find the slope of. Find the slope of the midsegment connecting and. Find the slope of any line perpendicular to ) Line M has an equation of 3 y x 5. Write an equation of a line that is parallel to it. 5 24) Write an equation of a line that is perpendicular to line M that goes through the point (-5, 2). 5 Kruzich 204

6 25) Find the slope of a line perpendicular to the line containing points (3,5) and (-2, 9). 26) Find the values of x and y. x 04 y 27) Find the range of values that are acceptable for x. 8 x 7 28) Which angle is largest (angle,, or )? Which angle is smallest? 3.24 cm 3.03 cm 29) Find the value of x so that F. 50 (2x 5) cm F cm F (3x 9) cm F 3.37 cm 30) Match the correct figure with the vocabulary term it represents. In each picture, is the center of the circle. a) radius b) central angle c) chord d) secant F e) tangent f) diameter g) inscribed angle H 6 Kruzich 204

7 3) In problems a d, solve for x. a) b) c) d) 32) Find: m 33) H 95. Find J. H m m O m O arc = 225 O and are tangent segments J I 34) Find m 4. m = 0 F 2 m F = 98 35) 3 4 Find m if = (2x+6) and I = (4x - 22) I H J 7 Kruzich 204

8 36) omplete the flowchart 37) 38) 39) 40) Solve the system of equations 5x y x 6y 27 4) F L P I In parallelogram FLIP, F and L are. P and L are. 8 Kruzich 204

9 42. Write the definitions for a parallelogram, rhombus, rectangle and a square. What are the differences between them? 43. Write the converses for the following statements: a. If it is snowing, then it is cold outside. b. If a figure is equilateral, then all sides are equal. 44. is equiangular and has a perimeter of 38 mm. What is the length of side, &? F 45. Name three sets of Linear Pairs in the figure at the right. 46. etermine the measure of each angle in the pentagon. 3x+4 5x+5 4x-8 4x+7 5x Matching: i. entroid a. quidistant from vertices of triangle ii. ircumcenter b. quidistant from sides of triangle iii. Incenter c. ontructed using altitudes iv. Orthocenter d. enter of Mass 48. escribe the difference between S and S. raw pictures to support your answer. 49. a. parallelogram that is equiangular is called a. b. parallelogram that is equilateral is called a. 50. a. Solve for x 3x y 3 x 6y 0 b. Solve for x 2x y x 4y 30 nswers are on my website. You can use the answers to check your work never copy!! 9 Kruzich 204