Δ KLM meet at point N. Find NP.
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1 Geometry Pre-Test Unit 2 Name: Hour: SC17: I can decide whether there is enough information to determine if tri are congruent. 1. Which shortcut can be used to prove that the tri are congruent, given that M is the midpoint of KQ and KL // PQ? (A) SSS (B) SAS (C) ASA (D) AAA SC17: I can determine the third pair of congruent parts needed to prove tri congruent. 2. Given that G E and GH EF, what is the third congruence needed to prove that GHI EFD by the SAS method? SC19/20: I can state the location of points of concurrency in angle bisectors and perpendicular bisectors. 3. Fill in the blank: The point of concurrency of the three perpendicular bisectors of an acute triangle is located the triangle. SC19/20: I can use the property of points of concurrency of angle bisectors and perpendicular bisectors to solve problems. 4. In the diagram, the angle bisectors of Δ KLM meet at point N. Find NP. SC 21: I can use the property of the point of concurrency of medians to solve problems. 5. Point C is the centroid of XYZ. Given XC = 18, find the length of CK. SC22: I can use the properties of midsegments to solve problems. 6. Points A, B, and C are midpoints of XYZ. Fill in the blanks. (a) AB // (c) If YZ = 13, then AB = (b) XY // (d) If AC = 7, then XZ =
2 SC23: I can name a polygon.i can classify a polygon as convex or concave. 7. Select the best name for the polygon shown at the right: (a) convex heptagon (b) concave heptagon (c) concave septagon (d) convex septagon SC23: I can calculate the angle measures (or solve for x) in a quadrilateral. 8. Find the m A. SC24: I can solve problems using the properties of parallelograms. 9. The quadrilateral shown to the right is a parallelogram. What are the values of x, y, and z? x = y = z = SC24: I can determine if there is enough information to prove a quadrilateral is a parallelogram. 10. State the reason (in if-then form) to prove the quadrilateral shown below is a parallelogram. SC25: I can solve problems using properties of rhombuses, rect, and squares. 11. Given: Rhombus ABCD and the m<bec = (3x 15). Solve for x. SC25: I can solve problems using properties of rhombuses, rect, and squares. 12. Given Rectangle RECT, RC = 5x 8 and TE = 3x Solve for x. SC26: I can solve problems involving midsegments in trapezoids. 13. EFHG is a trapezoid. Find x.
3 SC28: I can solve problems given an isometry. 14. The diagram shows a reflection in the vertical line. Find the values of w, x, y, and z. w = x = y = z = SC28: I can describe a translation in coordinate notation. 15. Describe the translation using coordinate notation. SC28: I can determine the final coordinates of a point after performing clockwise/counterclockwise rotations. 16. Find the image of point A (-2,4) after a 180 clockwise rotation. SC30: I can determine the final coordinates after performing compositions. 17. Use the given composition to find the coordinates of the endpoints of A'' B''. (Use graph provided.) Given: A(-1, 3), B(2, -5) Rotation: 90 counterclockwise Reflection: in the line y=1
4 SC 16: I can use triangle shortcuts to prove tri congruent in a two-column proof. 18. Given: AC DR, AC // DR Prove: ACR DRC SC18: I can construct two column proofs to determine if and sides of a triangle are congruent. 19. Given : O is the midpoint of SL and FT Prove: S L
5 GEOMETRY Pre-Test Unit 2 (Lessons 17-30) Answers 1. C 2. GI ED 3. Inside (a) YZ (or YC or CZ) (b) BC (c) 6.5 (d) B x = 30, y = 27, z = If one pair of opposite sides are both congruent and parallel, then parallelogram w = 50, x = 20, y = 30, z = (x,y) (x-7,y-2) 16. (2,-4) 17. A (-3,3) B (5,0) AC DR, AC // DR 1. Given 2. <ACR,<DRC are alternate interior 2. Definition of alternate interior 3. <ACR <DRC 3. If // lines, then alternate interior are. 4. CR CR 4. Reflexive Property 5. ACR DRC 5. SAS O is midpoint of SL 1. Given 2. SO LO 2. If midpoint, then divides a segment into two segments. 3. O is midpoint of FT 3. Given 4. FO TO 4. If midpoint, then divides a segment into two segments. 5. <SOT,<LOF vertical 5. Def. of vertical 6. <SOT <LOF 6. If vertical, then congruent. 7. SOT LOF 7. SAS 8. <S <L 8. CPCTC or If tri congruent, then parts congruent.
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