Chapter 1 Tools of GeometryNote Card List

1. Note Card 1-1A Copy the Key Concept “Undefined Term”.

2. Note Card 1-1BDefine the following terms: Collinear, Coplanar, Intersection, Space

3. Note Card 1-2ADefine Line Segment, provide an example of how to name a segment.

4. Note Card 1-2BCopy the Key Concept “Betweenness of Points”.

5. Note Card 1-2CCopy the Key Concepts “Congruent Segments”.

6. Note Card 1-3ADefine Distance then copy the Key Concept “Distance Formula on a Number Line”.

7. Note Card 1-3BCopy the Key Concept “Distance Formula in the Coordinate Plane”.

8. Note Card 1-3CDefine Midpoint then copy the Key Concept “Midpoint Formula on a Number Line”.

9. Note Card 1-3DCopy the Key Concept “Midpoint Formula in the Coordinate Plane”.

10. Note Card 1-3EDefine Segment Bisector and draw and example.

11. Note Card 1-4ADefine and draw an example of the following terms: Ray, Opposite Rays

12. Note Card 1-4BDefine and draw an example of the following terms: Angle (Vertex, Sides)

13. Note Card 1-4C Copy the Key Concept “Classifying Angles”.

14. Note Card 1-4D Define Angle Bisector and draw an example.

15. Note Card 1-5ACopy the Key Concept “Special Angle Pairs”. Be sure to define each pair and give an example of each.

16. Note Card 1-5BCopy the Key Concept “Angle Pair Relationships”. Be sure to define each and give an example of each.

17. Note Card 1-5CCopy the Key Concept “Perpendicular Lines”.

18. Note Card 1-6ACopy the Key Concept “Polygons”

19. Note Card 1-6BDefine Convex and Concave Polygons and give an example of each.

20. Note Card 1-6CDefine n-gon, Equilateral Polygon, Equiangular Polygon, and Regular Polygon. Give the names of polygons up to 12 sides.

21. Note Card 1-6DCopy the Key Concept “Perimeter, Circumference, Area”.

22. Note Card 1-7ADefine each term and give an example: Polyhedron (face, edge, vertex).

23. Note Card 1-7BCopy the Key Concept “Types of Solids”.

24. Note Card 1-7C Copy the Key Concept “Surface Area and Volume”.

Point, Line, Plane 1-1A Point, Line, Plane 1-1B

Collinear – points that lie on the same line.Noncollinear points do not lie on the same line.Coplanar – points or lines that lie on the same plane.Noncoplanar points or lines do not lie on the same plane. Space – a boundless three-dimensional set of all points.

Intersection – when two or more geometric figures have one or more points in common.

Line segment or segment – is part of a line consisting of two endpoints. A segment is named by its endpoints.

The measure of AB is written as AB.A B AB or BA

Line Segment 1-2A

Betweenness of Points 1-2B

Congruent Segments 1-2C

Distance - the length of the segment between two endpoints.

Distance Formula (on Number Line) 1-3A

Distance Formula (in Coordinate Plane) 1-3B

Midpoint - the point half way between the endpoints of a segment.

Midpoint Formula (on Number Line) 1-3C

Midpoint Formula (in Coordinate Plane) 1-3D Segment Bisector 1-3E

In the diagram, M is the midpoint of segment PQ, so segment JM, line KM, and plane A are all segment bisectors of segment PQ.

Segment Bisector – a segment, line, or plane that intersects a segment at its midpoint.

Classifying Angles 1-4C Angle Bisector 1-4D

Angle Bisector – a ray that divides an angle into two congruent angles.In the diagram below, ray YW bisects XYZ. So we can conclude that: m XYW + m WYZ = m XYZ

Adjacent Angles, Linear Pair, Vertical Angles 1-5A Complementary and Supplementary Angles 1-5B

Perpendicular Lines 1-5C Polygons 1-6A

Convex and Concave Polygons 1-6B

Convex Polygon – a polygon in which no diagonal passes through the exterior of the polygon.Concave Polygon – a polygon in which one or more diagonals pass through the exterior of the polygon.

Types of Polygons 1-6C

n-gon – a polygon with n sides.Equilateral Polygon - a polygon in which all sides are congruent.Equiangular Polygon – a polygon in which all angles are congruent.Regular Polygon – a polygon which is equilateral and equiangular.

Perimeter, Circumference, and Area Formulas 1-6D Polyhedron 1-7A

Polyhedron – a solid with all flat surfaces that enclose a single region or space.Face – the flat surfaces of a polyhedron.Edge – the line segment where the faces intersect.Vertex – the point where three or more edges intersect.

Types of Solids 1-7B Surface Area and Volume Formulas 1-7C