Multiple Choice Identify the choice that best completes the statement or answers the question.

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1 Informal Geometry Midterm REVIEW ***O NOT WRITE ON THIS REVIEW*** Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Evaluate the expression a b for a = 54 and b = 9. a. 6 c. 7 b. 486 d Solve. heck your answer. a. q = 10 c. q = 30 b. q = 11 d. q = Evaluate the expression z + l for z = 7 and l = 6. a. 42 c. 12 b. 13 d Solve 4 + m = 44. a. m = 48 c. m = 48 b. m = 40 d. m = Solve. heck your answer. a. m = 35 c. m = 344 b. m = d. m = Solve 12m = 144. heck your answer. a. m = 132 c. m = 156 b. m = 13 d. m = Solve. a. c. b. d. 8. Solve. a. a = 11 c. a = 17 b. a = 11 d. a = Solve. a. c. b. d. 10. If 2y 8 = 32, find the value of 5y. a. 12 c. 24 b. 38 d Solve. a. c. b. d. 12. Solve.

2 a. n = c. n = 6 7 b. n = 1 3 d. n = Find the slope of the line. y (5, 1) x 2 4 (2, 3) 6 8 a. 2 3 c. 2 3 b. 3 2 d Find the slope of the line. 10 y ( 3, 2 2) (2, 2) x a. 4 c. 5 b. undefined d Tell whether the slope of the line is positive, negative, zero, or undefined.

3 y x a. undefined c. positive b. negative d. zero 16. Find the slope of the line that contains and. a. 3 2 c b. 14 d Name two lines in the figure. W T R a. and T c. b. WR and TR d. and and 18. raw and label a pair of opposite rays and. a. c. H F G H F G b. G F H d. H F G 19. Name a plane that contains.

4 W T R a. plane R c. plane WRT b. plane WT d. plane R 20. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. a. c. b. d. 21. Find the length of. E a. = 2.5 c. = 9.5 b. = 3.5 d. = is between and. =, =, and = 35. Find.

5 2 x x a. = 50 c. = 55 b. = 22.5 d. = The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from Springfield to Junction ity. They will stop for lunch in Roseburg, which is at the midpoint of the trip. If they have already traveled 55 miles this morning, how much farther must they travel before they stop for lunch? S 55 mi X R 360 mi a. 125 mi c. 180 mi b. 145 mi d. 305 mi 24. Y is the midpoint of. and. Find XY, YZ, and XZ. a. XY = 3, YZ = 3, XZ = 6 c. XY = 18, YZ = 18, XZ = 36 b. XY = 54, YZ = 54, XZ = 108 d. XY = 36, YZ = 36, XZ = m and m. Find m. J E H F G a. m c. m b. m d. m 26. bisects, m, and m. Find m. a. m = 52 c. m = 28 b. m = 3 d. m = Find the measure of the complement of, where m a. c. b. d. 28. Find the measure of the supplement of, where m a. c. b. d. 29. Name all pairs of vertical angles.

6 J L M K N a. ; b. ; c. ; d. ; 30. Find the coordinates of the midpoint of with endpoints ( 3, 7) and L(2, 4). 8 y 6 4 L x a. (0, 1 2 ) c. ( 1, 3) b. ( 1 1 2, 21 2 ) d. ( 1 2, 11 2 ) Matching Match each vocabulary term with its definition. a. collinear b. segment c. line d. plane e. point f. ray g. undefined term h. coplanar 1. a basic figure that is not defined in terms of other figures 2. points that lie on the same line

7 3. a flat surface that has no thickness and extends forever 4. a straight path that has no thickness and extends forever 5. a location that has no size 6. points that lie in the same plane Match each vocabulary term with its definition. a. congruent angles b. angle bisector c. vertical angles d. linear pair e. supplementary angles f. exterior angles g. adjacent angles h. complementary angles 7. two angles in the same plane with a common vertex and a common side, but no common interior points 8. two angles whose measures have a sum of two angles whose measures have a sum of a ray that divides an angle into two congruent angles 11. a pair of adjacent angles whose noncommon sides are opposite rays 12. angles that have the same measure

8 Informal Geometry Midterm REVIEW nswer Section ***O NOT WRITE ON THIS REVIEW*** MULTIPLE HOIE 1. NS: Substitute the values for a and b into the expression, and then divide. orrect! This expression involves division, not multiplication. heck your division. This expression involves division, not subtraction. PTS: 1 IF: verage REF: 0ef df-9c7d f0d2ea OJ: Evaluating lgebraic Expressions TOP: 1-1 Variables and Expressions KEY: expression evaluate OK: OK 2 2. NS: Since 10 is added to q, subtract 10 from both sides to undo the addition. heck: To check your solution, substitute 10 for q in the original equation. orrect! heck the ones place. Is addition the correct operation for solving this equation? heck the tens place. PTS: 1 IF: asic REF: 0f8b0b df-9c7d f0d2ea OJ: Solving Equations by Using Subtraction NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-2 Solving Equations by dding or Subtracting KEY: equation solving addition OK: OK 2 3. NS: z + l Substitute 7 for z and 6 for l. 13 Simplify. This expression involves addition, not multiplication. orrect! heck your addition.

9 This expression involves addition, not subtraction. PTS: 1 IF: verage REF: 0eedaf8e df-9c7d f0d2ea OJ: Evaluating lgebraic Expressions TOP: 1-1 Variables and Expressions KEY: expression evaluate OK: OK 2 4. NS: When something is added to the variable, add its opposite to both sides of the equation to isolate the variable. Here, 4 is added to the variable, so add 4 to both sides of the equation to isolate m. dd the opposite to isolate the variable. dd the number that will isolate the variable. orrect! dd the number that will isolate the variable. PTS: 1 IF: asic REF: 0f8d6da df-9c7d f0d2ea OJ: Solving Equations by dding the Opposite NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-2 Solving Equations by dding or Subtracting KEY: equations solving subtracting OK: OK 2 5. NS: m = 344 Since m is divided by 8, multiply both sides by 8 to undo the division. heck: To check your solution, substitute 344 for m in the original equation. Instead of subtracting, multiply both sides by the denominator. Multiply on both sides of the equation to isolate the variable. orrect! If the variable is connected to the number by division, then use multiplication to solve for it. PTS: 1 IF: asic REF: 0f92325a df-9c7d f0d2ea OJ: Solving Equations by Using Multiplication NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-3 Solving Equations by Multiplying or ividing KEY: equation multiplication solving OK: OK 2 6. NS: 12m = 144 Since m is multiplied by 12, divide both sides by 12 to undo the multiplication.

10 heck: 12m = 144 To check your solution, substitute 12 for m in the original equation. Since the variable is multiplied, divide on both sides to undo the multiplication. heck your solution by substituting the variable in the original equation. To undo multiplication, use division. orrect! PTS: 1 IF: asic REF: 0f92596a df-9c7d f0d2ea OJ: Solving Equations by Using ivision NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-3 Solving Equations by Multiplying or ividing KEY: equation solving multiplication OK: OK 2 7. NS: The reciprocal of is. Since is multiplied by, multiply both sides by. Multiply both sides of the equation by the reciprocal of the fraction. Multiply both sides of the equation by the reciprocal of the fraction. Multiply both sides of the equation by the reciprocal of the fraction. orrect! PTS: 1 IF: asic REF: 0f9494b df-9c7d f0d2ea OJ: Solving Equations That ontain Fractions NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-3 Solving Equations by Multiplying or ividing OK: OK 2 8. NS: First x is multiplied by 2. Then 6 is added. Work backward: Subtract 6 from both sides. Since x is multiplied by 2, divide both sides by 2 to undo the multiplication. orrect! heck the signs. To solve for the variable, work backward.

11 Substitute the solution in the original equation to check your answer. PTS: 1 IF: asic REF: 0f99596e df-9c7d f0d2ea OJ: Solving Two-Step Equations NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-4 Solving Two-Step and Multi-Step Equations KEY: equations two-step multi-step OK: OK 2 9. NS: Use the ommutative Property of ddition. ombine like terms. Since 25 is added to 4c, subtract 25 from both sides to undo the addition. Since c is multiplied by 4, divide both sides by 4 to undo the multiplication. orrect! ombine like terms, and then solve. ombine like terms, and then solve. heck your signs. PTS: 1 IF: verage REF: 0f9bbbca df-9c7d f0d2ea OJ: Simplifying efore Solving Equations NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-4 Solving Two-Step and Multi-Step Equations KEY: equation two-step multi-step OK: OK NS: 2y 8 = 32 dd 8 to both sides of the equation y = 40 2y = 40 ivide both sides by y = 20 5(20) = 100 pply 20 to 5y. To undo subtraction, add to both sides. To undo multiplication, divide. dd before multiplying. orrect! PTS: 1 IF: verage REF: 0f9e df-9c7d f0d2ea OJ: Solving Equations to Find an Indicated Value NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-4 Solving Two-Step and Multi-Step Equations KEY: equation solving multistep OK: OK 2

12 11. NS: To collect the variable terms on one side, subtract 38t from both sides. Since 94 is subtracted from 16t, add 94 to both sides to undo the subtraction. Since t is multiplied by 16, divide both sides by 16 to undo the multiplication. heck your signs. fter adding to undo the subtraction, divide to undo the multiplication. First, collect the variable terms on one side. Then, add to undo the subtraction. orrect! PTS: 1 IF: verage REF: 0fa2e2de df-9c7d f0d2ea OJ: Solving Equations with Variables on oth Sides NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-5 Solving Equations with Variables on oth Sides KEY: equation two-step multi-step OK: OK NS: n = ombine like terms. dd to undo the subtraction. Or subtract to undo the addition. Then, divide to undo the multiplication. dd to undo the subtraction. Or subtract to undo the addition. Then, divide to undo the multiplication. orrect! dd to undo the subtraction. Or subtract to undo the addition. Then, divide to undo the multiplication. ombine like terms, and then solve. PTS: 1 IF: verage REF: 0fa309ee df-9c7d f0d2ea OJ: Simplifying Each Side efore Solving Equations NT: NT.SS.MTH REI.3 ST: M.912.-REI.2.3 TOP: 1-5 Solving Equations with Variables on oth Sides KEY: equations equivalent equations terms OK: OK NS: To find the slope, use the coordinates of two points on the line.

13 Starting at one point, count the units down (negative units) or up (positive units) and to the right (positive units) or to the left (negative units) to arrive at the other point. The units up or down are the rise. The units to the right or to the left are the run. Write a fraction with the rise in the numerator and the run in the denominator. Simplify the fraction. heck the signs for rise and run. If the line rises from left to right, the slope is positive; if it falls, the slope is negative. When finding slope, the numerator should be the rise (change in y-values) and the denominator should be the run (change in x-values). orrect! To find the slope, choose two points on the line. ivide the rise from one point to the next by the run. PTS: 1 IF: asic REF: 10bc df-9c7d f0d2ea OJ: Finding Slope TOP: 4-3 Rate of hange and Slope KEY: line slope OK: OK NS:. The slope is 0. Find the ratio of rise to run. The slope is rise over run, not run over rise. Find the ratio of rise to run. orrect! PTS: 1 IF: asic REF: 10bc df-9c7d f0d2ea OJ: Finding Slopes of Horizontal and Vertical Lines TOP: 4-3 Rate of hange and Slope KEY: slope rate of change OK: OK NS: line has positive slope if it rises from left to right. line has negative slope if it falls from left to right. line has zero slope if it is a horizontal line. line has undefined slope if it is a vertical line. line has zero slope if it is a horizontal line. line has undefined slope if it is a vertical line. orrect! You do not need to calculate the slope; just look at the graph of the line. line has positive slope if it rises from left to right. line has negative slope if it falls from left to right. PTS: 1 IF: verage REF: 10be9ba df-9c7d f0d2ea OJ: escribing Slope TOP: 4-3 Rate of hange and Slope KEY: slope undefined vertical OK: OK NS:

14 Use the slope formula. Substitute for and for. = 1 14 Simplify. First, substitute the coordinates of the first point into (x1, x2) and the coordinates of the second point into (y1, y2) of the slope formula. Then, simplify. Use the slope formula. orrect! ivide the difference in y-values by the difference in x-values. PTS: 1 IF: asic REF: 10c0fdfe df-9c7d f0d2ea OJ: Finding Slope by Using the Slope Formula TOP: 4-4 The Slope Formula KEY: slope function points OK: OK NS: line is named by any two points on the line. These are names for two points. These are names for the plane. orrect! These are two names for the same line. PTS: 1 IF: asic REF: 192c52de df-9c7d f0d2ea OJ: Naming Points, Lines, and Planes TOP: 1-1 Understanding Points, Lines, and Planes KEY: point line plane OK: OK NS: In the diagram, rays and share a common endpoint F and form the line. G F H Opposite rays form a line. orrect! Opposite rays form a line. Opposite rays are two rays that have a common endpoint and form a line. PTS: 1 IF: asic REF: 192c79ee df-9c7d f0d2ea OJ: rawing Segments and Rays TOP: 1-1 Understanding Points, Lines, and Planes KEY: ray opposite rays OK: OK NS:

15 plane can be described by any three noncollinear points. Of the choices given, only points W, R, and T are noncollinear. Thus, lies in plane WRT. Points,, and R are collinear. plane can be described by any three noncollinear points. Points W,, and T are collinear. plane can be described by any three noncollinear points. orrect! plane can be described by any three noncollinear points. PTS: 1 IF: asic REF: 192eb53a df-9c7d f0d2ea OJ: Identifying Points and Lines in a Plane TOP: 1-1 Understanding Points, Lines, and Planes KEY: point line plane OK: OK NS: In the diagram, lines m and l both lie in plane R, but do not intersect. Moreover, line l is the intersection of planes R and W. m W l R Is either of the two lines the intersection of the two planes? orrect! The two lines in this diagram intersect. The two lines in this diagram are not coplanar. PTS: 1 IF: verage REF: df-9c7d f0d2ea OJ: Representing Intersections TOP: 1-1 Understanding Points, Lines, and Planes KEY: intersection plane OK: OK NS: orrect!

16 Find the absolute value of the difference of the coordinates. Find the absolute value of the difference of the coordinates. The length of a segment is always positive. PTS: 1 IF: asic REF: 19313ea df-9c7d f0d2ea OJ: Finding the Length of a Segment TOP: 1-2 Measuring and onstructing Segments KEY: segment length OK: OK NS: Segment ddition Postulate Substitute for and for. Simplify. Subtract from both sides. ivide both sides by 2. or 22.5 Simplify. heck your equation. Make sure you are not subtracting instead of adding. You found the value of x. Find the length of the specified segment. You found the length of a different segment. orrect! PTS: 1 IF: verage REF: 1935dc4e df-9c7d f0d2ea OJ: Using the Segment ddition Postulate TOP: 1-2 Measuring and onstructing Segments KEY: segment addition postulate OK: OK NS: If the Ybarra s current position is represented by X, then the distance they must travel before they stop for lunch is XR. Segment ddition Postulate Solve for XR. Substitute known values. R is the midpoint of Simplify.., so orrect! Use the definition of midpoint and the Segment ddition Postulate to find the distance to Roseburg. This is the distance from Springfield to Roseburg. You must subtract the distance they have already traveled. This is the distance to Junction ity. Use the definition of midpoint and the Segment ddition Postulate to find the distance to Roseburg.

17 PTS: 1 IF: verage REF: e df-9c7d f0d2ea OJ: pplication TOP: 1-2 Measuring and onstructing Segments KEY: segment addition postulate OK: OK NS: 6x 3x + 9 X Y Z Step 1 Write an equation and solve. Y is the midpoint of. Substitute for and for. Subtract from both sides. ivide both sides by 3. Step 2 Find XY, YZ, and XZ. This is the value of x. Substitute this value for x to solve for the segment lengths. heck your simplification methods when solving for x. Use division for the last step. orrect! Reverse your answers. The first two segments are half as long as the last segment. PTS: 1 IF: verage REF: 19383eaa df-9c7d f0d2ea OJ: Using Midpoints to Find Lengths TOP: 1-2 Measuring and onstructing Segments KEY: midpoint OK: OK NS: m m m ngle ddition Postulate m Substitute for m and 11 for m. m Subtract from both sides. orrect! Use the ngle ddition Postulate. Subtract the smaller angle measure from the larger angle measure. Subtract the smaller angle measure from the larger angle measure. PTS: 1 IF: asic REF: 193d df-9c7d f0d2ea OJ: Using the ngle ddition Postulate TOP: 1-3 Measuring and onstructing ngles KEY: angle addition postulate OK: OK NS: Step 1 Solve for x.

18 m m efinition of angle bisector. Step 2 Find m. m Substitute for and for. dd 1 to both sides. Subtract from both sides. ivide both sides by 4. This answer is the entire angle. ivide by two. Substitute this value of x into the expression for the angle. heck your simplification technique. orrect! PTS: 1 IF: verage REF: 193f65be df-9c7d f0d2ea OJ: Finding the Measure of an ngle TOP: 1-3 Measuring and onstructing ngles KEY: angle bisector angle addition postulate OK: OK NS: Subtract from 90 and simplify The measures of complementary angles add to 90 degrees. Find the measure of a complementary angle, not a supplementary angle. orrect! omplementary angles are angles whose measures have a sum of 90 degrees. PTS: 1 IF: asic REF: df-9c7d f0d2ea OJ: Finding the Measures of omplements and Supplements TOP: 1-4 Pairs of ngles KEY: complement complementary angles OK: OK NS: Subtract from 180 and simplify. The measures of supplementary angles add to 180 degrees. orrect! Find the measure of a supplementary angle, not a complementary angle. Supplementary angles are angles whose measures have a sum of 180 degrees. PTS: 1 IF: verage REF: 19468cd df-9c7d f0d2ea OJ: Finding the Measures of omplements and Supplements TOP: 1-4 Pairs of ngles KEY: supplement supplementary angles OK: OK NS:

19 The vertical angle pairs are measure.. These angles appear to have the same These angles are adjacent, not vertical. orrect! Vertical angles share a common vertex, the point of intersection of the two lines. The vertex is the middle letter in the angle's name. These angles are adjacent, not vertical. PTS: 1 IF: asic REF: 194b518a df-9c7d f0d2ea OJ: Identifying Vertical ngles TOP: 1-4 Pairs of ngles KEY: vertical angles OK: OK NS: ( 1 2, 11 2 ) The x- and y-coordinates of the midpoint are the averages of the x- and y-coordinates of the endpoints. The x- and y-coordinates of the midpoint are the averages of the x- and y-coordinates of the endpoints. The x- and y-coordinates of the midpoint are the averages of the x- and y-coordinates of the endpoints. orrect! PTS: 1 IF: asic REF: e df-9c7d f0d2ea OJ: Finding the oordinates of a Midpoint TOP: 1-6 Midpoint and istance in the oordinate Plane KEY: coordinate geometry midpoint OK: OK 2 MTHING 1. NS: G PTS: 1 IF: asic REF: 1967edda df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1 2. NS: PTS: 1 IF: asic REF: 196a df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1 3. NS: PTS: 1 IF: asic REF: 196a df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1 4. NS: PTS: 1 IF: asic REF: 196cb df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1 5. NS: E PTS: 1 IF: asic REF: 196f14ee df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1

20 6. NS: H PTS: 1 IF: asic REF: 196f3bfe df-9c7d f0d2ea TOP: 1-1 Understanding Points, Lines, and Planes OK: OK 1 7. NS: G PTS: 1 IF: asic REF: 1997c41a df-9c7d f0d2ea TOP: 1-4 Pairs of ngles OK: OK 1 8. NS: H PTS: 1 IF: asic REF: 1999ff df-9c7d f0d2ea TOP: 1-4 Pairs of ngles OK: OK 1 9. NS: E PTS: 1 IF: asic REF: 199c61c df-9c7d f0d2ea TOP: 1-4 Pairs of ngles OK: OK NS: PTS: 1 IF: asic REF: 199c88d df-9c7d f0d2ea TOP: 1-3 Measuring and onstructing ngles OK: OK NS: PTS: 1 IF: asic REF: 199ec41e df-9c7d f0d2ea TOP: 1-4 Pairs of ngles OK: OK NS: PTS: 1 IF: asic REF: 199eeb2e df-9c7d f0d2ea TOP: 1-3 Measuring and onstructing ngles OK: OK 1

Geo - CH1 Practice Test

Geo - CH1 Practice Test Geo - H1 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best sketch, drawing,