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Find the measures of pmn and nmr if bisects pmr. the measure of pmr is 136 explain your answer.

17/12/2020 Client: saad24vbs Deadline: 7 Days

Geometry Midterm Exam


Score: ______ / ______


Name: _____________________________


Student Number: ____________________


Answer the questions below. Make sure to show your work and provide complete geometric explanations for full credit.


1


Label the net for the figure below with its dimensions. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa001-1.jpg








A. __________


B. __________


C. __________


2


Name four rays shown. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa002-1.jpg


3


You live in Carson City, Nevada, which has approximate (latitude, longitude) coordinates of (39N, 120W). Your friend lives in Ottawa, Ohio, with coordinates of (41N, 84W). You plan to meet halfway between the two cities. Find the coordinates of the halfway point. Show your work.


4


Write the conditional statement that the Venn diagram illustrates. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa004-1.jpg


5


Is the following conditional true or false? If it is true, explain why. If it is false, give a counterexample. If it is snowing in Dallas, Texas, then it is snowing in the United States.


6


What is the value of x? Justify each step using proof reasoning. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa006-1.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa006-2.jpg


AB + BC = AC a.__________________________


2x + 6x + 8 = 32 b. __________________________


8x + 8 = 32 c. __________________________


8x = 24 d. __________________________


X = 3 e. __________________________


7


Give the missing reasons in this proof of the Alternate Interior Angles Theorem. Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa007-1.jpg Prove: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa007-2.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa007-3.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa007-4.jpg


a. ________________________


b. ________________________


c. ________________________


8


 Based on the given information, can you conclude that ? Explain.


Given: and https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa008-4.jpg, prove


9


Write the missing reasons to complete the proof. Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-1.jpg, https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-2.jpg, and https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-3.jpg Prove: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-4.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-5.jpg


Statement


Reason


1. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-6.jpg


1. Given


2. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-7.jpg


2. Given


3. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-8.jpg


3. Given


4. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-9.jpg


4. Definition of congruent segments


5. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-10.jpg


5. ?


6. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-11.jpg


6. Segment Addition Postulate


7. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-12.jpg


7. Definition of congruent segments


8. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa009-13.jpg


8. ?


Step 5: _______________


Step 8: _______________


10


Fill in the missing reasons to complete the proof. Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-1.jpg, UY || TX Prove: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-2.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-3.jpg


Statement


Reason


1. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-4.jpg


1. Given


2. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-5.jpg


2. Converse of the Corresponding Angles Postulate


3. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-6.jpg


3. ?


4. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-7.jpg


4. Given


5. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-8.jpg


5. Transitive Property


6. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa010-9.jpg


6. ?


Step 3: ________________


Step 6: ________________


11


Is https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa011-1.jpg by HL? If so, name the legs that allow the use of HL. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa011-2.jpg


12


Complete the proof by providing the missing reasons. Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-1.jpg, https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-2.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-3.jpg Prove: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-4.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-5.jpg


Statement


Reason


1. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-6.jpg, https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-7.jpg, and https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-8.jpg


1. Given


2. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-9.jpg are right angles


2. Definition of perpendicular segments


3. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-10.jpg


3. ?


4. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-11.jpg


4. ?


5. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa012-12.jpg


5. ?


Step 3: ____________________


Step 4: ____________________


Step 5: ____________________


13


Write a paragraph proof to show that https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/es013-1.jpg. Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/es013-2.jpg and https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/es013-3.jpg https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/es013-4.jpg


14


Given: https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa014-1.jpg is the perpendicular bisector of IK. Name two lengths that are equal. https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa014-2.jpg


15


Li went for a mountain-bike ride in a relatively flat wooded area. She rode for 6 km in one direction and then turned and pedaled 16 km in another. Finally she turned in the direction of her starting point and rode 8 km. When she stopped, was it possible that Li was back at her starting point? Explain.


16


Find the measures of PMN and NMR if bisects PMR. The measure of PMR is 136 Explain your answer.


17


Judging by appearance, classify the figure in as many ways as possible using rectangle, square, quadrilateral, parallelogram, rhombus. Please justify your answers https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/sa017-1.jpg


18


For a regular n-gon: a. What is the sum of the measures of its angles? b. What is the measure of each angle? c. What is the sum of the measures of its exterior angles, one at each vertex? d. What is the measure of each exterior angle? e. Find the sum of your answers to parts b and d. Explain why this sum makes sense.


a.


b.


c.


d.


e.


19


Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid? https://study.ashworthcollege.edu/access/content/group/af6e8f9f-40f5-4e73-9bd7-b87e13cc6d33/geometry_midterm_ex_files/es019-1.jpg


20


Use the Distance Formula and the x-axis of the coordinate plane. Show why the distance between two points on a number line (the x-axis) is | a – b |, where a and b are the x-coordinates of the points.





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