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Geometry – Unit 1 Review (Most missed Test Questions) D.2.h.: I can distinguish between a convex and concave polygon and I can recall how to tell when a polygon is regular or irregular. #1. State whether each polygon is convex or concave.

#2. State whether each polygon is regular or irregular.

C.1.a.: I can distinguish between segments and angles. (segment bisectors vs. angle bisectors; segment addition postulate vs. angle addition postulate. #1. m<FCD = x + 41, m<BCF = x + 78 and the m<BCD = 95. Find x, m<FCD and m<BCF.

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#2. If m<WOY = 19x – 26 and

m<YOZ = 10x, find x, m<WOY,

m<YOZ, and m<WOZ.

#3. m<PRQ = 6x + 13; m<QRS = 3x – 4. Find x, m<PRQ and m<QRS.

#4.

#5. ⃗⃗ ⃗⃗ ⃗ is the angle bisector of <AQC. m<AQB = 5x and m<BQC = 8x – 24.

Find x, m<AQB, m<BQC and m<AQC.

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G.1.b./G.PE.4: I can find the distance and midpoint of a

segment from the coordinate plane.

#1. Find the distance between the two points. #2. Find the midpoint of the segment. Find the other endpoint of the line segment with the given endpoint and midpoint. #3. Endpoint: (-5, 4); Midpoint (-10, -6) #4. Endpoint (-8, 8); Midpoint (5, -3) D.1.b.: I can distinguish between points, lines, and planes and can understand properties of each. Use the figure to answer the questions. #1. Name the plane with 3 letters #2. Line AC intersects the plane at what point? #3. Lines HG and GE intersect at what point? #4. Name 3 collinear points: #5. Name a point not on the plane. #6. Are points F, D, E and B coplanar?

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Use the figure to name the following: #7. Name the bottom of the figure with 3 letters. #8. Name the far right side of the figure with 3 letters. #9. Name the intersection of planes ADB and AEF. #10. Name a plane parallel to plane AEH. A.1.c.: I can write equations to represent lines in slope intercept, point slope and in standard forms. #1. Write the equation of a line that has a slope of ¾ and a y-intercept of 2/3 in slope intercept form. #2. Write the equation of a line that has a slope of 0 and a y-intercept of -10 in slope intercept form. #3. Write the equation of a line that has undefined slope and passes through the point (-4, 8). #4. Write the equation of a line that has an x-intercept of 4 and a y-intercept of -7 in slope intercept form. #5. Write the equation of a line that has an x-intercept of -2 and a y-intercept of 5 in slope intercept form.

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#6. Write your answers to questions #4 and #5 into standard form. #7. Write the following equation into slope intercept form and then into standard form.

y + 10 = ¾ (x – 8) C.1.d./D.1.c.: I can recognize angle relationships among lines that are cut by transversals. Consider the figure shown. Answer the following questions: What angle relationship exists between the following pairs of angles? Name the transversal. #1. <1 & <7 #2. <10 & <2 #3. <3 & <12 #4. <3 & <8 #5. <3 & <9 #6. If <9 = 8x + 9 and <14 = 2x + 1, find m<11 and m<10. #7. If m<1 = 106 degrees, find m<7, m<16, m<13, m<11 and m<9.

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Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. Additionally, state the transversal for each angle pair. #1. <1 = <11 #2. <2 = <6 #3. <11 & <14 are supplementary #4. <7 = <13 #5. <3 & <12 are supplementary #6. <1 = <6 #7. <10 = <14 #8. <8 & <15 are supplementary.

In the figure, segments RZ and WT are transversals that cut parallel lines m and l. Find the value of x. Show your work algebraically.

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G.1.a.: I can find the slope of a line and understand the relationship between slope and parallel and perpendicular lines. Find the slope of the following: #1. Line AB #2. Line CD #3. Line AD #4. Line EM #5. Line HE #6. A line perpendicular to line CD #7. A line parallel to line EM #8. A line parallel to line HE #9. A line perpendicular to line AB #10. A line parallel to the x-axis. #11. A line perpendicular to line EM. #12. A line parallel to line CD. #13. A line perpendicular to AD.

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State the reason for each statement. Your answer may be a property, a definition, a theorem, a postulate or a converse. #1. If <1 + <2 = 90, then <1 & <2 are complementary #2. If a = 6 + z and b = 6 + z, then a = b. #3. If a + b = w and b = 8, then a + 8 = w. #4. If <1 = <2 and <2 = 8 + p, then <1 = 8 + p. #5. If <7 and <8 are a linear pair, then <7 and <8 are supplementary. #6. If <1 and <10 are vertical angles, then <1 = <10. #7. If <7 and < are supplementary, then <7 + <8 = 180. #8. If B is a midpoint of AD, then AB = BD. #9. If B is a midpoint of AD, then AB = ½ AD. #10. If AB = BD, then B is a midpoint of AD. #11. If a + b = y, then y = a + b. #12. x + y = y + x

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#13. If ¾ x = 8, then 3x = 32. #14. If 3x = 32, then x = 32/3 #15. If <2 and <3 are same side interior angles and lines are parallel, then <2 & <3 are supplementary. #16. If <2 and <3 are alternate interior angles and lines are parallel, then <2 = <3. #17. If <2 = <3 and <2 and <3 are corresponding angles, then the lines are parallel. #18. AT + TL = AL #19. <LKS + <SKJ = <LKJ #20. If ray SK is an angle bisector, then <LKS = <SKJ.

G.CO.9./ C.1.a.: #1. FILL IN THE BLANK PROOF: GIVEN: <2 & <3 are supplementary

PROVE: <1 = <3

STATEMENTS REASONS

#1. <2 and <3 are supplementary #1. GIVEN:

#2. <2+ <3 = 180

#2. _________________________

#3. <1 & <2 are a linear pair

#3. Definition of Linear Pair

#4. <1 & <2 are supplementary

#4. __________________________

#5. <1 + <2 = 180

#5. __________________________

#6. <1 = <3

#6. __________________________

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#2. FILL IN THE BLANK PROOF: GIVEN: <5 = 4x + 17 <6 = 9x – 23 PROVE: <6 = 49

STATEMENTS REASONS

#1. <5 = 4x + 17; <6 = 9x – 23 #1. GIVEN:

#2. <5 & <6 are vertical angles

#2. _________________________

#3. <5 = <6

#3. __________________________

#4. 4x + 17 = 9x – 23

#4. __________________________

#5. 17 = 5x – 23

#5. __________________________

#6. 40 = 5x

#6. __________________________

#7. _____________________

#7. __________________________

#8. <6 = 49

#8. __________________________

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Basic Geometry questions: #1. How many points determine a line? #2. How many points determine a plane? What kind of points must they be? #3. What are the precision measurements of the following? 5 inches? 6 ½ inches? 4 ¼ inches? 10 cm? 12.5 cm? 7.25 km? #4. What do adjacent angles have in common with each other? #5. Draw an example of a linear pair and label the angles <1 and <2. #6. Draw an example of vertical angles and label the angles <3 and <4. #7. State the Vertical Angle Theorem #8. State the Linear Pair Postulate.

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#17. Find x. #18. Find x. #19. Find x. #20. Find x.

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