laying the foundation for understanding and learning

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Laying the Foundation for Understanding and Learning.

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Page 1: Laying the Foundation for Understanding and Learning

Laying the Foundation for Understanding and Learning.

Page 2: Laying the Foundation for Understanding and Learning

How do we name it? Write: point P Say: “point P” Tip: we only use capitol

letters to name point!!!

•PMath example:

Real Life example:

Page 3: Laying the Foundation for Understanding and Learning

Math example: How do we name it? Write: Say: “line AB” or “line BA”

or “line “

Real Life example:

Page 4: Laying the Foundation for Understanding and Learning

How do we name it? Write: points A, C, B are

collinear Say: SAME! Tip: when we list points we

put a comma in between.

Math example:

Real Life example:

Page 5: Laying the Foundation for Understanding and Learning

How do we name it? Write: plane P or plane ACB Say: “plane P” or “Plane ACB” Tip: we can name a plane by

any three points in the plane OR by the the letter without a point in the corner.

Math example:

Real Life example:the top of the desk!

Page 6: Laying the Foundation for Understanding and Learning

How do we name it? Write: points R, Q, S and V are

coplanar. Point T is not coplanar!

Say: SAME!! Tip: Keep track of points in the

same plane!!!

Math example:

Real Life example:

Page 7: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “segment AB” or

“segment BA” Tip: segments are named

by the two endpoints,

Math example:

Real Life example:

Page 8: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “ray AB” Tip: rays names always

start with the endpoint!

Math example:

Real Life example:

Page 9: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “ray CB” and “ray

CA” Tip: name the rays starting

from the SAME endpoint!

Math example:

Real Life example:

Page 10: Laying the Foundation for Understanding and Learning

How do we name it? Write: -4 is the coordinate of point S Say: SAME! Tip: the coordinate is the number that marks

the points location

Math example:

Page 11: Laying the Foundation for Understanding and Learning

How do we name it? Write: AB Say: length of AB Tip: when segment names are

written without the segment bar on top, it represents the length of the segment.

Math example:

Real Life example:ST = |-4-8| = |-12| = 12

Page 12: Laying the Foundation for Understanding and Learning

How do we name it? Write: Q is the midpoint of Say: SAME! Tip: in geometry congruent means “an object has

the same measure” so in this picture PQ = QR

Math example:

Page 13: Laying the Foundation for Understanding and Learning

Math example:

Page 14: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “segment AB is congruent to segment

CD” Tip: congruent is used to compare two things

as being the same. Equals is used to compare to measurements as being the same.

Math example:

Page 15: Laying the Foundation for Understanding and Learning

Math example:

Page 16: Laying the Foundation for Understanding and Learning

How do we name it? Write: <1, <A, <BAC or <CAB Say: “angle 1” “angle A” “angle BAC” “angle

CAB” Tip: there are three different ways to name

an angle! The vertex A (in this case) must be in the middle.

Math example:

Page 17: Laying the Foundation for Understanding and Learning

How do we name it? Write: <B is a right angle Say: < means “angle” Tip: the little box in the

corner means 90 degrees.

Math example:

B

Page 18: Laying the Foundation for Understanding and Learning

How do we name it? Write: <A is an acute

angle Say: < means “angle”

Math example:

A

Page 19: Laying the Foundation for Understanding and Learning

How do we name it? Write: <C is an obtuse

angle Say: < means angle

Math example:

C

Page 20: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “ray AY is the angle bisector of angle

XAZ, so angle XAY is congruent to angle YAZ”

Math example:

Page 21: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “angle A is congruent to angle B” Tip: we use a line marking to show that two

different angles are congruent.

Math example:

Page 22: Laying the Foundation for Understanding and Learning

How do we name it? Write: <1 and <2 are adjacent <3 and <4 are

adjacent Say: < means “angle” Tip: adjacent means ‘next to’

Math example:

Page 23: Laying the Foundation for Understanding and Learning

How do we name it? Write:<1 and <2 are vertical <3 and <4 are

vertical Say: < means “angle” Tip: vertical angles are directly across from each

other.

Math example:

Page 24: Laying the Foundation for Understanding and Learning

How do we name it? Write: <1 and < 2 are complementary <A and <B are

complementary 47 + 43 = 90 degrees….the angles sum to 90

degrees Say: < means “angle” Tip: each angle is called the complement of the other.

Math example:

Page 25: Laying the Foundation for Understanding and Learning

How do we name it? Write: <B and <C are supplementary <3 and

<4 are also supplementary 137 + 43 = 180 degrees Say: < means “angle” Tip: they are called supplements of each other.

Math example:

Page 26: Laying the Foundation for Understanding and Learning

How do we name it? Write: <ABD and <DBC form a linear pair. Say: < means “angle Tip: a linear pair MUST form a straight line.

Math example:

Page 27: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “line l is parallel to

line m” Tip: parallel lines stay the

same distance apart.

Math example:

Page 28: Laying the Foundation for Understanding and Learning

How do we name it? Write: Say: “line m is

perpendicular to line n” Tip: perpendicular is a

tough word to remember!

Math example:

Page 29: Laying the Foundation for Understanding and Learning

How do we name it? Write: is the perpendicular bisector of Say: line EF is the perp. Bisector of segment GH Tip: it cuts a segment in half at a right angle.

Math example: