Midterm Study Guide Assessment. Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 11/30/2018 Print Assignment
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1 Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 1/35
2 Question 2. RS bisects QRT, m QRS = (3x + 8), and m SRT = (5x 4). Find m SRT. m SRT = 2/35
3 Question 3. J is the midpoint of HK, H has coordinates (4, 5), and J has coordinates (6,4). Find the coordinates of K. The coordinates of K are. 3/35
4 Question 4. Find the coordinates of the midpoint of the segment. MN with endpoints M (4, 10) and N ( 6, 6) The coordinates are. 4/35
5 Question 5. Use the figure to name the following. Three collinear points. Points = 5/35
6 Question 6. Find the measure of the angle VYX in the figure below. 4a (2a + 52) The measure of VYX is. 6/35
7 Question 7. Find the measure of the angle EFG in the figure below. 13x 17x The measure of EFG is. 7/35
8 Question 8. Part 1 Graph AB and CD for A (4, 3), B (3, 7), C (1, 2), and D (2, 2) A B C D Part 2 Are the lines parallel? The lines (select) same slope, so they (select) parallel. 8/35
9 Question 9. Graph the pair of lines and use their slopes to determine if they are parallel, perpendicular, or neither JK LM JK and LM for J(5, 3), K (6, 1), L ( 1, 4), and M (4, 5). The lines are (select). 9/35
10 Question 10. Determine whether the lines are parallel, intersect, or coincide. y = 4x + 8 y = 4x 8 The lines (select). The slope of the first line =. The slope of the second line =. 10/35
11 Question 11. Select a justification for each step. m XYZ = 4n 6 m XYZ = m 2 + m 3 (select) 4n 6 = 58 + (2n 12) (select) 4n 6 = 2n + 46 (select) 2n 6 = 46 (select) 2n = 52 (select) n = 26 (select) 11/35
12 Question 12. Enter an equation in slope-intercept form for the line that passes through (0, 0) and is parallel to the line described by y = 6 7 x + 5. y = 12/35
13 Question 13. Enter an equation in slope-intercept form for the line parallel to the given line and passing through the given point. 7x + 4y = 6; (4, 7) y = 13/35
14 Question 14. Enter an equation in slope-intercept form for the line parallel to the given line and passing through the given point. y = 15x + 3; (3, 19) y = 14/35
15 Question 15. Enter an equation in slope-intercept form for the line perpendicular to the given line and passing through the given point. y = x 4; ( 2, 3) y = 15/35
16 Question 16. Find the angle measure. m XYZ (5x + 3) (15x 18) (7x + 5) The measure of XYZ is. 16/35
17 Question 17. Use SSS to explain why the triangles in the pair are congruent. GJK GJL It is given that KJ LJ and GK GL. GJ (select) GJ by the (select). So GJK GJL by (select). 17/35
18 Question 18. Which postulate, if any, can be used to prove the triangles congruent? (select) can be used. 18/35
19 Question 19. For the pair of triangles write a triangle congruence statement. Identify the transformation that moves one triangle to the position of the other triangle. FEG (select) QSR. (select) was used. 19/35
20 Question 20. Find the side lengths of the triangle. Round your answer to the nearest tenth. 2x x The value of x is. The side length of the triangle is. 20/35
21 Question Find length G J. G J = 21/35
22 Question Find length R J. R J = 22/35
23 Question 23. Round your answers to the nearest tenth. Find the circumcenter of the triangle with vertices O (0, 0), A (9, 27), and B (27, 0). The circumcenter is at (, ). 23/35
24 Question 24. Find the value of x in the figure (x 3) x x = 24/35
25 Question 25. In ABC, AD bisects BAC. Complete the proportionality statement. Select the theorem that supports the proportionality statement. CD AC =? AB The length that makes the proportionality statement true is: A. B. AB CD C. D. DB BAC The theorem that supports your conclusion is the (select). 25/35
26 Question 26. Given that the rectangle ABCD ~ EFGH. The area of the rectangle ABCD is 108 in. 2 The area of rectangle EFGH is 192 in. 2 If the width of rectangle ABCD is 9 in., what is the length and width of rectangle EFGH? The dimensions of rectangle EFGH is in. wide by in. long. 26/35
27 Question 27. Write the similarity ratio as a proper fraction. Then enter a similarity statement for the polygons. Ratio = Statement = 27/35
28 Question 28. Given: C D = 3A C, C E = 3B C Prove: A B C ~ D E C C D = 3A C, C E = 3B C C D A C = A C B A B C ~, C E B C = Given Division Property of Equality Vertical Angles Theorem SAS Similarity 28/35
29 Question 29. The set for an animated film includes three small triangles that represent pyramids. Which pyramids are similar? Pyramids are similar. What is the similarity ratio of the similar pyramids? Similarity ratio = 29/35
30 Question 30. Find the length of the segment. XZ The length of XZ is. 30/35
31 Question 31. In the figure BC DE FG. Complete the proportion. AF AB = (select) AC 31/35
32 Question 32. P A = 2.7 and H C = Find H P. H P = 32/35
33 Question 33. Use arrow notation to describe the mapping of the point (7,6) when it is reflected across the line: x axis. (, ) (, ) 33/35
34 Question 34. Find the vector associated with the translation that maps point A to point B. Then use arrow notation to describe the mapping of the preimage to the image. The vector associated with the translation is:,. The arrow notation to describe the mapping is: (, 2) (2, ). 34/35
35 Question 35. Tell whether the statement is sometimes, always, or never true. An isometry changes the size of a figure. The statement is (select) true. 35/35
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