Math: Congruency in Triangles Unit Test, PART 1 Exam with verified solutions 2024

Analyze the image below and answer the question that follows. H Does the shape have line symmetry? If so, how many lines of symmetry does it have? A. no, 0 B. yes, 1 C. yes, 2 D. yes, 4 Please select the best answer from the choices provided C Triangle ABC has vertices of A(-8 ,8), B(6, 2), and C(-2, 1). Find the length of the median from C in triangle ABC. A. √17 B. 4 C. 5 D. √65 Please select the best answer from the choices provided A Analyze the diagram below and complete the instructions that follow. Given the diagram above, if LN=PN and point N is the midpoint of MO, prove LMN=PON. Statements Reasons 1) -00_files/, -00_files/ and -00_files/ are right angles, N is the midpoint of -00_files/ 1) 2) -00_files/ 2) 3) -00_files/ and -00_files/ are right triangles 3) 4) -00_files/ 4) A. 1) Given 2) Definition of midpoint 3) All right angles are congruent 4) HL theorem B. 1) Given 2) Definition of a rectangle 3) Definition of a right triangle 4) HL theorem C. 1) Given 2) Definition of midpoint 3) Definition of a right triangle 4) HL theorem D. There is not enough information to prove the triangles congruent. Please select the best answer from the C Analyze the graph below and complete the instructions that follow. The endpoints of ON are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line ON. A. -00_files/ B. -00_files/ C. -00_files/ D. -00_files/ Please select the best answer from the choices provided B A figure with vertical line symmetry is placed in the coordinate plane. Given that the points (1, 4) and (6, 4) are on the edges of the figure, which of the following points lies on the line of symmetry? A. (1, 5) B. (2.5, 0) C. (3.5, 4) D. (7, 8) Please select the best answer from the choices provided C Analyze the diagram below and answer the question that follows. Is JKO=PMN? If so, find MN. A. Yes, -00_files/ by AAS; MN = 11. B. Yes, -00_files/ by AAS; MN = 18 C. Yes, -00_files/ by ASA; MN = 18. D. No, the triangles are not congruent. Please select the best answer from the choices provided B Quadrilateral BCDE is a square. The coordinates of B are B(0, 3), and the coordinates of C are C(3, 5). Find the slopes of BC, CD, DE, and, EB. A. -00_files/, -00_files/, -00_files/, -00_files/ B. -00_files/, -00_files/, -00_files/, -00_files/ C. -00_files/, -00_files/, -00_files/, -00_files/ D. -00_files/, -00_files/, -00_files/, -00_files/ Please select the best answer from the choices provided D