Name of Student: Name of Teacher: Mrs. A. L.V.
Pollo
Year and Section: Subject: Geometry
Date: Date:
Undefined Terms and Defined Terms
WHAT’S MORE
A. Determine whether each of the following suggests a point, a line, or a
plane.
1.) Rice field
2.) Edge of a door
3.) Top view of lid of a bottle
4.) Straight grills on your window
5.) envelope
B. True or False
Direction: Write true if the following statements are true, otherwise write false.
1.) X and Y are the only points in ⃖𝑋𝑌⃗.
2.) Lines have endpoints.
3.) Points X, Y, and Z are collinear in the
given figure on right.
4.) Beside ⃖𝑋𝑍⃗ , there are other ways to name the given figure on the right.
⃖ ⃗ ends in M.
5.) 𝑀𝑁
6.) A point can be in two lines.
7.) There are an infinite number of points in plane x.
8.) An infinite number of lines can pass through one point.
9.) Planes have edges.
10.) There are terms in geometry that has no definition.
C. Which of the following definition would you classify as acceptable?
1.) Pear: a fruit which can be eaten.
2.) Equilateral triangle: A triangle in which all three sides are of equal length.
3.) Largest: that which is larger than the next largest.
4.) Ice: water in solid form.
5.) Triangle: a geometric figure which has three sides, three angles, and a perimeter.
6.) Basketball: a game in which a spherical-shaped ball is used.
D. Suppose you accept as a postulate the statement: Vertical angles have
equal measures. Which of these conclusions can be deduced?
1.) Two angles which have equal measures are vertical angles.
2.) Two angles which are not vertical angles cannot have equal measures.
3.) Two angles which do not have equal measures cannot be vertical angles.
4.) Some angles which have equal measures are vertical angles.
WHAT I CAN DO
A. Classify the given information as acceptable or unacceptable. Give a reason to
support your classification of any definition as unacceptable.
1.) A sphere is a round object of spherical shape.
2.) Forever is until the end of time.
3.) Concentric circles are circles which lie in the same plane and have the same center
but have radii of different lengths.
4.) Up is the opposite direction from down
5.) A teacher is a person who is employed in a school.
6.) An exponent is a little number frequently used in algebraic expressions.
7.) The bisector of an angle is a ray which divides an angle into two equal angles.
8.) A week is a period consisting of seven consecutive days.
9.) A ball is not square.
10.) Pretty is someone or something that is attractive in a delicate way.
B. Suppose you accept as a postulate the statement: Any acute angle can be bisected.
Which of these conclusions can be deduced?
1.) Any acute angle can be divided into two angles of equal measures.
2.) Any acute angle can be divided into three angles of equal measures.
3.) Any acute angle can be divided into four angles of equal measures.
4.) The supplement of any acute angle can be bisected.
5.) The complement of any acute angle can be bisected.
6.) An angle which is not acute cannot be bisected.
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ADDITIONAL ACTIVITIES
I. Answer the following:
Is the definition in bold letters acceptable? If not, write a good definition
1.) A pencil is a writing instrument.
2.) Tumbler is a drinking glass without foot or stem.
3.) Congruent angles are angles that have the same measure.
4.) Obtuse angles are angles that measures more than 90 but less than 180.
5.) A friend is not your enemy.
II. In each of the following cases, replace the word point by line and the word line by
plane. State whether each resulting statement is true or false.
1.) A point has no dimension and marks position only.
2.) Two lines can intersect in a point.
3.) There is exactly one line that contains two distinct points.
4.) An infinite number of lines can pass through a given point.
5.) Through any two points, there is exactly one line.
Defined and Undefined Terms Crossword Puzzle
