Patterns and Inductive Reasoning
Points, Lines, and Planes
Segments & Angles and Their Measures
Segment and Angle Bisectors
Angle Pair Relationships
100
A process that includes looking for patterns and making conjectures.
What is Inductive Reasoning?
100
Points that lie on the same line.
What are collinear points?
100
Find the measure of angle MHI, and name the type of angle RHM is.
What is m∠MHI=120 degrees & angle RHM is an acute angle?
100
A segment, ray, line, or plane that intersects a segment at its midpoint.
What is a segment bisector?
100
Two angles that add up to 180 degrees.
What are supplementary angles?
200
A,6,C,12,E,18,__,__,__. Find the next three in the pattern.
What is G,24,I?
200
Part of a line that consists of two end points, and all points on the line that are between the end points.
What is the definition of a line segment?
200
Write two names for the angle, and name it's vertex and rays.
What is angle SAW or angle A, vertex is point A, and rays are AS and AW?
200
A line or ray that divides an angle in half into two adjacent and congruent angles.
What is an angle bisector?
200
Name all the linear pairs.
What are angles 1 & 4, angles 1 & 3, angles 3 & 2, angles 2 & 4, angles 5 & 8, angles 8 & 7, angles 5 & 6,and angles 7 & 6?
300
Your math teacher has given you math homework assignments every Monday for the last three weeks. What can you conclude when using Inductive reasoning?
What is there will be math homework assignment this Monday?
300
Name the opposite rays if point D lies between points A,B, C, and E.
What is segment DA, segment DB, segment DC, and segment DE?
300
Find b.
What is b=12?
300
Find the value of x.
What is x=40?
300
Find the values of x & y.
What is x=48, y=31.
400
Show the conjecture is false by finding a counter example. Conjecture: All odd numbers are prime.
What is the counterexample is 9?
400
Points collinear to: H & C, A & F, and D & H.
What is H & C= point G, A & F= point D, and D & H= point B?
400
The distance between (2,6) (3,1).
What is the distance of √26?
400
Find the midpoint M for segment EL with the given end points E(11,-2) and L(-9,13).
What is M(1,11/2)?
400
Find the values of x & y when lines m and g are parallel.
What is x=5 & y=20?
500
A gum ball machine gives you no gum if you insert $0.05, 5 gum balls if you insert $0.10, 10 gum balls if you insert $0.20. How many gum balls could you expect to receive if you insert $0.35?
What is 30 gum balls?
500
Points that are coplanar.
What are points D, B, F, C, and E?
500
In the diagram, segments ME=7, MT=19, and SA=10. Find MA, WA, LW, EP, and EW.
What is MA=45, WA=17, LW=11, EP=14, and EW=21?
500
Find the measure of segment BC when point B is the midpoint to segment AC.
What is segment BC=27?
500
Find the values of x & y, and the measures of angles ABE, ABD, DBC, and EBC.
What is x=40, y=35, m∠ABE=125 degrees, m∠ABD=55 degrees, m∠DBC=125 degrees, and m∠EBC=55 degrees?