Vocabulary
Geometric Notation
Intersections
Finding Missing Segment Lengths
Error Analysis
100
Exactly equal shape and size?
Congruent
100
Identify the geometric element and name the element using geometric notation.
Point
C
100
A point (or set of points) that elements have in common?
Intersection
100
True or False: This is the Segment Addition Postulate
AB + BC = AC
True
100
A student draws a line segment with endpoints A and B and labels it:
What is wrong with the student's label? Fix the notation.
200
The point that divides the segment into two congruent segments?
Midpoint
200
Identify the geometric element and name the element using geometric notation.
Line
200
Determine whether the pair of given elements intersect, and if so, name the intersecting point for the identified elements.
Line AC and Line BE
Yes; B
200
Find the length indicated.
LM=16
200
A student says line BG and ray CD intersect at point B. Explain why this is not true.
Since ray CD does not go in the direction of point B, it cannot possibly intersect line BG at point B.
300
A line, segment, or ray that intersects a segment at its midpoint?
Segment bisector
300
Identify the geometric element and name the element using geometric notation.
Line Segment
bar (ZL) or bar (LZ)
300
Determine whether the pair of given elements intersect, and if so, name the intersecting point for the identified elements.
Line FA and Ray EC
No
300
Your high school and the local mall are 24 miles apart on a straight road. A popular smoothie shop is halfway between your high school and the mall, on the same road.
How far is your high school from the smoothie shop? (Hint: Draw a picture first)
12 miles
300
Points A, B, and C are on a line, with AB=5 cm and BC=3 cm A student says AC=15 cm.
What is wrong with their calculation? Find the correct length of AC.
The student multiplied 5 and 3 instead of adding them.
AC=8 cm
400
Points that lie on the same line?
Points that lie on the same plane?
Collinear
Coplanar
400
Identify the geometric element and name the element TWO different ways using geometric notation.
Ray
vec (OV) or vec (OJ)
400
Using the image below, determine whether each pair of roads intersect:
Does State Street intersect with South Lockwood Avenue?
Yes
400
Identify the midpoint. Solve for x and find DE.
x=12
DE=115
400
A student says point E is the midpoint of segment DF, and segment DF= 10. They claim FE= 20 because M splits the segment.
What is wrong with their claim? Find the correct length of FE and explain what a midpoint does.
FE is not equal to 20. A midpoint splits a segment into two equal parts. If DF is 10, then FE must be 5.
500
What is Geometric Notation?
The written language of geometry; a system of letters and symbols used to represent geometric figures and relationships
500
Identify the geometric element and name the element THREE different ways using geometric notation.
Plane
DHF, HGF, B, etc.
500
Sketch the figure described:
vec (MN) or vec (NX)
500
Points A, B, and C are collinear. Point B is between A and C. Draw a diagram and find AC.
AB=19
BC=2x-2
AC=6x-35
x= 13
AC=43
500
Adam named the plane below as ABD, but Jane named it as ABC. Who is correct and why?
Adam is correct because you can not name a plane with three collinear points.