Questions:
1. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and back of the rectangular prism?
2. How are /_1 and /_2 related?
3. Find the midpoint of RS.
4. Find the length of a diagonal of a rectangle ABCD with vertices A(-3,1), B(-1,3), C(3,-1), and D(-1,-3).
5. What is the inverse of following conditional?
(If n is the sum of two even numbers, then n is even.)
6. State the property that justifies the statement:
(If 3x-4=10, then 3x=14)
7. Chicago Ave. is parallel to Ontario Street. What is the relationship between angles 5 and 7?
8. Given that line I is parallel to line m, find x.
9. Which construction is illustrated above?
10. Justify the last two steps of the proof.
(Given: RS≌UT and RT≌US Prove: ∆RST≌∆UTS)
11. What other information do you need to prove the triangles congruent using ASA congruence
12. Which triangle congruence theorem could be used to immediately show ∆ABC≌∆CDA with no additional steps?
13. Which illustrates the construction of the bisector of an angle?
14. Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 110ft from camera 2, which was 137ft from camera 3. Cameras 1 and 3 were 158ft apart. Which camera had to cover the greatest angle?
15. Which of the following are not the lengths of the sides of the triangle?
16. Fill in the blank with the most accurate definition.
(Any two distinct points are _______.)
17. Fill in the blank with always, sometimes, or never. If there is not enough information, choose inconclusive. (two planes intersect to ___________ form a line.)
18. Find the value of x.
19. Point Q lies in the interior of /_RST. If m/_RST=125∘, m/_RSQ=4x-7, m/_QST =11x+12, then find x.
20. Name an angle adjacent to /_FGI.
21. If two angles are vertical angles, then which of the following is not true?
22. /_1 and /_2 are supplementary. m/_1=3x-4 and m/_2=8x-14. Find the measure of each angle.
23. Find the circumference of the circle to the nearest tenth. Use 3.14 for π.
24. Find the area of the figure.
25. Which of the following is a counterexample for the hypothesis “if the teams plays at home, then they win the game”?
26. What is the hypothesis of the following conditional statement?
(If we walk from school, it takes 30 minutes.)
27. A conditional can have a ____ of true or false.
28. Rewrite the following compound a statement as a biconditional.
(If it rains, then use an umbrella, and if I use an umbrella, then it is raining.)
29. which of the following is the best definition of a perpendicular bisector?
30. Name the property of Congruence that justifies this statement:
If /_W≌/_X and /_X≌/_Y, then /_W≌/_Y.
31. What is the value of x?
32. If BDCE is congruent to OPQR, then DE is congruent to___?___.
33. If ∆ABC≌∆DEF by side-side-side triangle congruence, then /_B≌/_E by ________.
34. Find the value of x.
35. What common angle do ∆ACD and ∆ABE share?
36. Find the value of x.
37. Where is the circumcenter of any given triangle?
38. Which of the following best describes the altitude of a triangle?
39. What image is the translation of ∆ABC given by the translation rule (x,y) → ( x-2,y-2)?
40. The vertices of a triangle are P(-8,1), Q(-6,-8), and R(4,-3). Name the vertices of the image reflected across the x-axis.
41. What is the measure of a counterclockwise rotation about the spinner center that maps label f to label h?
42. How many lines of symmetry does the figure have?
43. Which letter has rotational symmetry?
44. The dashed-line triangle is a dilation image of the solid-lined triangle.
45. Determine whether ∆ABC→∆JGH is reflection, translation,rotation, or glide reflection.
What are the reflection line, translation rule, center and angle of rotation, or glide translation rule and reflection line?
46. Essay
47. Essay
Answers:
1. The letter on the front will be C. The letter on the back will be A.
2. They are vertical.
3. (-1,3)
4. 6.3
5. If n is not the sum of two even numbers, then n is not even.
6. Addition Property of Equality
7. They are corresponding angles
8. 3
9. A perpendicular to a given line from a point on the line
10. Reflexive Property of ≌; SSS
11. /_KNJ≌ /_KML
12. SSS
13. (sorry, can't show the URLs)
14. Camera 2
15. 2,3,6
16. Collinear.
17. Always
18. 0.3
19. x=8
20. /_JGI
21. The angles share a common side.
22. m/_1=70, m/_2=110
23. 22.6 in.
24. 38ft2
25. The teams plays at home and loses the game.
26. We walk home from school
27. truth value
28. I use an umbrella if and only if it rains.
29. A perpendicular bisector intersects a segment at its midpoint and at a 90-degree angle.
30. Symmetric Property
31. 11
32. QR
33. Corresponding parts of congruent triangles are congruent.
34. 40
35. /_AEB≌/_DEB
36. 8
37. The point of concurrency of the perpendicular bisectors of the sides of the triangle.
38. A segment drawn from the vertex perpendicular to the line containing the opposite side.
39. (sorry, can't show the URLs)
40. P'(-8,-1),Q'(-6,8),R'(4,3)
41. 108
42. 4
43. X
44. reduction; 1/2
45. Rotation; 180 about (-0.5, 0)
46. Essay
47. Essay
(You can trust my answers if YOU want too)
—Coconut🥥
* Sorry if you can't understand some answers or questions. I try to spell and explain it out as good as I can.