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1.1: Nets and Drawings for Visualizing Geometry
MAFS.912.G-CO.1.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
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The net below folds into the cube shown beside it
The net below folds into the cube shown beside it. Which letters will be on the top and front faces of the cube?
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What is the net for the graham cracker box
What is the net for the graham cracker box? Label the net with its dimensions.
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What is the net for the figure? Label the net with its dimensions.
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What is an isometric drawing of the cube structure shown?
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What is an isometric drawing of the cube structure shown?
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Orthographic Drawings
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1.2: Points, Lines, and Planes
MAFS.912.G-CO.1.1 KNOW PRECISE DEFINITIONS OF ANGLE, CIRCLE, PERPENDICULAR LINE, PARALLEL LINE, AND LINE SEGMENT, BASED ON THE UNDEFINED NOTIONS OF POINT, LINE, DISTANCE ALONG A LINE, AND DISTANCE AROUND A CIRCULAR ARC.
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Points, Lines, and Planes
What are some other names for line QT? What are some other names for plane P? What are 3 collinear points, and 4 coplanar points?
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Segments and Rays What are the names of the segments in the figure?
What are the names of the rays in the figure? Are ray EF and ray FE opposite rays?
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Intersections of Planes
What is the intersection of plane ADC and BFG? What are the names of the planes that intersect in line BF?
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Point C does not lie on line XY
Point C does not lie on line XY. Can point C lie in the same plane as line XY? Explain.
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1.3: Measuring Segments MAFS.912.G-CO.1.1
KNOW PRECISE DEFINITIONS OF ANGLE, CIRCLE, PERPENDICULAR LINE, PARALLEL LINE, AND LINE SEGMENT, BASED ON THE UNDEFINED NOTIONS OF POINT, LINE, DISTANCE ALONG A LINE, AND DISTANCE AROUND A CIRCULAR ARC. MAFS.912.G-GPE.2.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
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What are the measures of UV and SV on the number line?
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If EG = 59, what are EF and FG? Type equation here.
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Are segments AC and BD congruent?
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Q is the midpoint of segment PR. What are PQ, QR, and PR?
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You plan to drive east from city A to town B and then continue east to city C. The distance between city A and town B is 39 mi, and the distance between town B and city C is 99 mi. a. Assuming you follow a straight driving path, after how many miles of driving will you reach the midpoint between city A and city C? b. If you drive an average of 46 mi/h, how long will it take you to drive from city A to city C?
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1.4: Measuring Angles MAFS.912.G-CO.1.1
KNOW PRECISE DEFINITIONS OF ANGLE, CIRCLE, PERPENDICULAR LINE, PARALLEL LINE, AND LINE SEGMENT, BASED ON THE UNDEFINED NOTIONS OF POINT, LINE, DISTANCE ALONG A LINE, AND DISTANCE AROUND A CIRCULAR ARC.
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What are 2 other names for angle 1?
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What are the measures of angle LKN, angle JKL, and angle JKN
What are the measures of angle LKN, angle JKL, and angle JKN? Classify each as acute, right, obtuse or straight.
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If the measure of angle ABC=49, what is the measure of angle DEF?
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If the measure of angle RQT=155, what are the measures of angle RQS and angle TQS?
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Lisa makes a cherry pie and an apple pie
Lisa makes a cherry pie and an apple pie. She cuts the cherry pie into six equal wedges and she cuts the apple pie into eight equal wedges. How many degrees greater is the measure of a cherry pie wedge than the measure of an apple pie wedge?
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1.5: Exploring Angle Pairs
MAFS.912.G-CO.1.1 KNOW PRECISE DEFINITIONS OF ANGLE, CIRCLE, PERPENDICULAR LINE, PARALLEL LINE, AND LINE SEGMENT, BASED ON THE UNDEFINED NOTIONS OF POINT, LINE, DISTANCE ALONG A LINE, AND DISTANCE AROUND A CIRCULAR ARC. MAFS.912.G-CO.3.9 Prove theorems about lines and angles; use theorems about lines and angles to solve problems.
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True or FAlse? Angle BFD and angle CFD are adjacent angles.
Angle AFB and angle EFD are vertical angles. Angle AFE and angle BFC are complementary angles.
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What can you conclude from the diagram?
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What can you conclude from the diagram?
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The 𝑚∠𝐴 is 30 degrees greater than the 𝑚∠𝐵
The 𝑚∠𝐴 is 30 degrees greater than the 𝑚∠𝐵. If 𝐴 and 𝐵 are complementary, what is the measure of angle 𝐴?
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1.7: Midpoint and Distance in the Coordinate Plane
MAFS.912.G-GPE.2.4 Use coordinates to prove simple geometric theorems algebraically. MAFS.912.G-GPE.2.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. MAFS.912.G-GPE.2.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
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Segment AB has endpoints at –4 and 9
Segment AB has endpoints at –4 and 9. What is the coordinate of the midpoint?
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The midpoint of segment CD is M(-2, 1). One endpoint is C(-5, 7)
The midpoint of segment CD is M(-2, 1). One endpoint is C(-5, 7). What are the coordinate for the other endpoint, D?
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What is the distance between U(-7, 5) and V(4, -3)
What is the distance between U(-7, 5) and V(4, -3)? Round to the nearest tenth.
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What is the distance from B to C? From D to E? Each grid represents 5m.
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1.8: Perimeter, Circumference, and Area
MAFS.912.N-Q.1.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
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What is the circumference of Circle T in terms of π
What is the circumference of Circle T in terms of π? What about to the nearest tenth?
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You are designing a poster that will be 3 yds wide and 8ft high
You are designing a poster that will be 3 yds wide and 8ft high. How much paper do you need to make the poster? Please give your answer in square feet Is there another size poster that would use the same amount of paper? Explain.
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What is the area of circle K in terms of π
What is the area of circle K in terms of π? Rounded to the nearest hundredth?
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What is the area of the irregular figure? (All angles are right angles)
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