**Unformatted text preview: **Student: Suhaid Geometry Class: Date: 8/26/19 Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
1. REINFORCE Find a geometric representation for the following sequence of numbers.
3, 4, 5, 6, 7, … X+1 2. What are the three undefined terms in geometry? Point,line,plane 3. Write a description of a point. How are points labeled? A marker that labels a specific point.
1 capital letter
4. Write a description of a line. How are lines labeled? Extens forever in both directions.
2 Capital letters and a line symbol AB
5. What are two names for the line containing points A and E? EA
AE Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin IJ JI Page 1 of 7
With space for student work Center, Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
6. Describe the difference between a line and a line segment. A line goes off forever in both directions
A line segment is a piece of line between two points.
7. What is meant by the notations AE, AE, and AE?
A E= Distance
A E= A line segment that stop at A and E.
A E = A line containing points A and E. 8. Write a definition of ray. Starts at a point and goes forever in one directions. 9. How do you name a ray in geometry? What is the name of a ray with endpoint I and point
J on the ray? Put a ray above the letters
IJ or JI
10. Write a definition of angle. An angle is two rays with a common vertex 11. REINFORCE How are ∠DBG and m∠DBG different? DBG names an angle
m DBG is a measurement of the angle Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin Page 2 of 7
With space for student work Center, Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
12. Write a description of a plane in geometry. A plane is a flat surface that extends forever in all direction
(floor)
13. What is the minimum number of points needed to determine a line? A plane? Line =2
Plane=3 14. REINFORCE
a. Name two points in the room diagram that are collinear with points C and F. Points on the same line.
QR
b. Point J is noncollinear with points H and K. Name another point that is noncollinear
with points H and K. Points not on the the same line
IJ
c. Points C, Q, and S are coplanar points. Name another point on the floor that is
coplanar with C and Q. Points on the same plane
CQE
d. Points A, B, and F are noncoplanar with point C. Name another point in the room that
is noncoplanar with A, B, and F. Points not on the same plane.
Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin SQR
Page 3 of 7
With space for student work Center, Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
15. Using the notations provided, complete the table by writing in the correct notation for
each name and figure.
AB
AB BA
BA AB BA AB BA BA AB
AB BA AB AB Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin Page 4 of 7
With space for student work Center, or AB BA BA Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
16. Using the angle names provided, label the angles in the diagram below.
∠B ∠EAF ∠A ∠ECD ∠FEA ∠FAE ∠CBA ∠DCA 3 letters middle is imported. 17. REINFORCE Draw and label LM where L has coordinates (3,-2) and M has coordinates (1,5). M L Copyright 2015 Agile Mind, Inc. ®
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The University of Texas at Austin Page 5 of 7
With space for student work Center, Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 2; use with Exploring “The Language of Geometry”
18. REINFORCE Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, and m∠B =
(2x – 15)°. Solve for x and then find m∠A and m∠B.
Complementary angles
2 angles that add up to go 90=3 x+5+2 x-15
90=5 x-10
100=5 x
x=20 A=3(20)
A=65
B=2(20)-15
B=25 19. REINFORCE The measure of the supplement of an angle is 12 more than twice the
measure of the angle. Find the measures of the angle and its supplement. Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin Page 6 of 7
With space for student work Center, Student: Class: Date: Using inductive reasoning and conjectures
Student Activity Sheet 4; use with Exploring “Perpendicular Bisectors and the Circumcenter”
1. Write a definition of perpendicular bisector. 2. Consider the diagram shown. Name the perpendicular bisector and the segment it
bisects. 3. What does the small square in the diagram above indicate? Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
The University of Texas at Austin Page 7 of 7
With space for student work Center, ...

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