Download Chapter 18/19 Study Guide - East Penn School District

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Transcript
Dear Math Parents and Families,
Tentatively on Friday, March 27, 2015 we will be celebrating our math learning with an assessment.
Our assessment will cover the following topics: points, lines, angles, drawing and measuring angles, polygons,
identifying relationships, circles, congruent and similar shapes, and symmetry. If your child would like to
review for the test, please refer to the following student edition book pages.
18.1 – Points, Lines and Angles – pages 482-485
18.2 – Measuring and Drawing Angles – pages 486-489
18.3 – Polygons– pages 490-493
18.4 – Problem Solving: Identifying Relationships – pages 494-495
18.5 – Circles– pages 496-499
18.6 – Congruent and Similar Figures – pages 500-503
18.7 – Symmetry – pages 504-505
19.1 – Classify Triangles—pages 514-517
19.2 –Classify Quadrilaterals—pages 518-521
There are also great review pages on pages 506-509. Lastly, the following pages give a list of terms that we
have studied in class. This section of geometry has had many vocabulary terms that your child needs to have a
working definition of in order to apply their knowledge to the concepts and skills. Please help your child to
review these terms as well as their definitions. Good luck!
Accessing the Student Edition Math Book
1. Go to www.thinkcentral.com (Think Central’s website).
2. Click on the tab marked Mathematics.
3. Then click on HSP Math.
4. Input the following information into the pull down tabs:
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State: Pennsylvania
District: East Penn School District
School: Shoemaker School
Username: student5
Password: reading
5. You will then come to the welcome screen. Click on My Library.
6. You will then see all our Math online resources, book, and workbooks. Click “HSP Math Student Edition” (it has a
star icon).
Geometry Terms
point – an exact location in space. A letter is used to name a point. Example: point A
line – a straight path in a plane, extending in both directions with no endpoints. To name a line, use any two
points that are on the line. Example: line BC or BC
line segment – is a part of a line between two endpoints. To name a line segment, use both endpoints.
Example: line segment DE or DE
ray – is a part of a line. It begins at one endpoint and extends forever in one direction. To name a ray, use
the endpoint and any other point that is on the ray. Example: ray FG or FG
plane – is a flat surface that extends without end in all directions. To name a plane, name any three points on
the plane, but not all on the same line.
right angle- is an angle that measures 90˚
acute angle – an angle that measures less than 90˚
obtuse angle – an angle that measures greater than 90˚ and less than 180˚
straight angle – an angle that measures 180˚
parallel lines – are lines in a plane that are always the same distance apart.
intersecting lines – are lines a plane that cross at exactly one point.
perpendicular lines – are two lines in a plane that intersect to form right angles.
skew lines – are lines that are not in the same plane, are not parallel, and do not intersect.
protractor – a tool used for measuring and drawing angles.
polygon – is a closed plane figure formed by three or more line segments. Polygons are named by the number
of their sides and angles.
polygon examples:
triangle (3 sides and angles), quadrilateral (4), pentagon (5), hexagon (6), heptagon (7),
octagon (8), nonagon (9), decagon (10)
regular polygon – a polygon where all sides and all angles are congruent.
*The total of all angles within a triangle is 180˚
circle – a closed plane figure with all points on the figure the same distance from the center point. Circles
are named by their center point.
* The total of all angles within a circle is 360˚
radius – a line segment with one endpoint at the center of the circle and the other endpoint is on the circle.
All radii in a circle have the same length.
diameter – a line segment that passes through the center of the circle and has both of its endpoints on the
circle.
chord – a line segment with its endpoints in the circle.
congruent – figures that have the same size AND shape.
similar – figures that have the same shape but may not have the same size.
line of symmetry – a line that can be draw on a figure so that it can be divided so that the two parts match
exactly.
rotational symmetry – a figure that can be rotated less than 360˚ around a central point so that it matches
the original figure.