Properties of Two-Dimensional Figures

Name ______

Topic 11 Guided Notes

Properties of Two-Dimensional Figures

Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.1 Basic Geometric Ideas
New Terms
Point

Line

Ray

Line Segment

Congruent Line Segments

Midpoint

Intersecting Lines

Plane

Parallel Lines

Perpendicular Lines

Transversal Line

Review Terms
Today’s Concept
Group Work
1-7 on page 263.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 8-22 P. 263 in textbook. / This is an ______location in ______.
This is a ______path of ______that goes on ______in two directions.
This is ______of a ______, with one ______, extending forever in only ______direction.
This is ______of a ______with two ______.
______segments that are the same ______.
The point on a line segment that is ______between the two ______.
These lines ______through the same ______.
This is a ______surface that ______forever in all directions.
These are lines in the same ______, but do not ever ______.
These are ______lines that form a ______.
A line that cuts across two or more (usually parallel) lines.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.2 Measuring and Drawing Angles
New Terms
Vertex

Acute Angle

Right Angle

Obtuse Angle

Straight Angle

Review Terms
Today’s Concept
Group Work
1-6 on page 267.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-21 P. 266 in textbook.
Group Work
1-6 on page 267.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-21 P. 266 in textbook. / This is where _____ different rays have the ______endpoint. Where they meet an ______is formed.
An angle whose measure is between ___ and ___.
An angle whose measure is ______.
An angle whose measure is between ____ and ____.
An angle whose measure is exactly ______.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
You must also be able to use a protractor to measure angles and to properly name angles.

Notice the angle above has a name. It is named by using the common vertex of both rays, or by combining the 3 points on the rays.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.3 Angle Pairs
New Terms
Vertical Angles

Congruent Angles

Adjacent Angles

Complimentary Angles

Supplementary Angles

Review Terms
Today’s Concept
Group Work
1-6 on page 271.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-20 P. 271 in textbook.
Group Work
1-6 on page 271.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-20 P. 271 in textbook. / are a ______of angles that are ______by intersecting ___ and have no ______in common.
have the ______measure.
are a __ of angles with a ______and a ______.
are ____ angles whose measures add up to _____.
are ____ angles whose measures add up to _____.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
You must also be able to look at a drawing and determine what the angle measurements are of angles that do not have a listed measurement from the information provided.
The unit’s drawings have two symbols you need to understand. The first symbol is a semi-circle that can identify equal angles. The semi-circle is drawn at the vertexes of congruent angles.
The second symbol identifies right angles and is drawn like a 1/2 square at the vertex of the right angle.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.4 Triangles
New Terms
Acute Triangle

Right Triangle

Obtuse Triangle

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Review Terms
Today’s Concept
Group Work
1-4 on page 275.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 6-11, 17, 19 P. 275 in textbook. / All ______are acute ______.
One ______is a ______angle.
One ______is an ______angle.
All ______are ______.
At ______two sides are ______.
No ______are ______.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
The angles inside every triangle add up to 180o.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.5 Quadrilaterals
New Terms
Quadrilateral
Trapezoid

Parallelogram

Rhombus

Rectangle

Square

Review Terms
Today’s Concept
Group Work
1-6 on page 279.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-15 P. 280 in textbook. / A ______with ______sides.
is a quadrilateral with only ______of ______.
is a quadrilateral with ______pairs of ______sides parallel. Opposite sides and angles are ______.
is a parallelogram with all ______.
is a parallelogram with ______.
is a rectangle with ______.

To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.6 Circles
New Terms
Circle
Diameter

Radius

Chord

Central Angle

Arc

Sector

Review Terms
Angle
Vertex
Today’s Concept
Group Work
1-6 on page 282.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-18 P. 283 in textbook / This is a ______plane figure made up of all ______the same ______from a point called the center.
This is any ______through the center that connects two points on the ______.
This is any line segment that connects the ______to a ______on the circle.
This is any line segment that connects ______points on the circle. The diameter is also a chord.
This is an angle whose ______is the center of the circle. Angle AMZ is a central angle.
This is a part of a circle ______two points of the circle.
This is a ______bounded by two ______and an arc.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.7 Transformations and Congruence
New Terms
Congruent Figures
Translation

Reflection

Glide Reflection

Rotation


Review Terms
Today’s Concept
Group Work
1-7 on page 285.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 8-17 P. 285 in textbook. / Have the ______and ______.
This ______a figure in a ______line.
This gives a figure a ______image over a ______.
This is a ______followed by a ______.
This ______a figure about a ______.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
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Key Words/Topic
and Assignments / Information, Definitions, Solutions
11.8 Symmetry
New Terms
Reflection Symmetry
Line of Symmetry
Rotational Symmetry
Review Terms
Today’s Concept
Group Work
1-6 on page 288.
Show work when appropriate.
Use complete sentences when appropriate.
Don’t forget your labels.
HOMEWORK: 7-14, 17 P. 289 in textbook. / A figure that has reflection symmetry can be ______on ______. The sides that fold on each other are exactly alike.
The line of ______is a line of symmetry. This is where you can “fold” the image. Some figures have ______than one line of ______.
When a ______rotates onto ______in less than a ______turn the figure has rotational symmetry.
To master the concept for today, you must master the above words, understand what they represent, and know how to identify them.
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