1. Geometry Chapter 1 Review TEST Friday, October 25 Lessons 1.1 – 1.7
Homework:
Page / , 35 – 44

2. Lesson 1.1 Building Blocks of Geometry
Point
A location in space. No size
Line
A set of collinear points having no endpoints. No width, only length.
A set of points that creates a flat surface that has no depth or edge. Length & width, no height.
Plane A B • C
Collinear
A set of points that lie on a line.
A •
B •
Coplanar
A set of points, segments, lines,… that lie on a plane.

3. Lesson 1.1 Building Blocks of GeometryA B
A set of collinear points having two endpoints.
Line Segment A B
Congruent Segments
Two or more line segments that are congruent (same size & shape) X Y
Midpoint of a Segment •
A point that divides/bisects a segment into two equal parts. X Y A

4. Lesson 1.1 Building Blocks of Geometry• X Y A
Midpoint of a Segment (formula)
x 1, y1
x 2, y2 A B •
Ray • G H

5. Lesson 1.1 - Building Blocks of GeometryX B A
Angle
The union of two noncollinear rays having a common endpoint.
< AXB • • X B A •
Congruent Angles
Two or more angles with the same measure • S T R •
AXB  RST means that the measure of both angles are equal. •

6. Lesson 1.1 - Building Blocks of Geometry
Angle of Reflection
The reflection of an angle will have the same measure from the reflected surface as the initial angle.
50o
Incoming angle =
Outgoing angle
50o

7. Lesson 1.1 - Building Blocks of Geometry
An angle whose measure is equal 90 o.
Right Angle
Acute Angle
An angle whose measure is < 90 o.
Obtuse Angle
An angle whose measure is > 90 o.

8. Lesson 1.1 - Building Blocks of Geometry
Complimentary Angles
Two angles whose sum of measure equals 90°.
1 +  2 = 90°. 1 2 6 7
Adjacent Complimentary Angles
Two angles whose sum of measure equals 90°.
6 +  7 = 90°.
Two angles whose sum of measure equals 180°.
 4 +  5 = 180°.
Supplementary Angles 4 5

9. Lesson 1.1 - Building Blocks of Geometry
Vertical Angles 1
Opposite and congruent angles formed by the intersection of two lines.
 1 =  2 2
Linear Pair of Angles 8 9
Two adjacent supplementary angles .
 8 +  9 = 180.

10. Lesson 1.1 - Building Blocks of Geometry
Polygon
A closed plane figure formed by the connecting line segments endpoint to endpoint with each segment intersecting exactly two other segments.
A polygon having the fewest possible number of sides.
Triangle
n-gon
A polygon with n number of sides where n is equal to any positive integer.
Octagon
Triangle
n = 3
n = 8

11. Lesson 1.1 - Building Blocks of Geometry
Naming Polygons
n= 5
Pentagon
n= 6
Hexagon
Octagon
n= 8

12. Lesson 1.1 - Building Blocks of GeometryA B
Polygon Features
Consecutive angles F E C D
FAB & ABC
Consecutive sides
AF & FE
Consecutive vertices
F & E

13. Lesson 1.1 - Building Blocks of Geometry
Diagonal of a Polygon
A line segment that connects two nonconsecutive vertices of a polygon. A E F D C B
AC. AD, & AE are each diagonals of this polygon.

14. Lesson 1.1 - Building Blocks of Geometry
Groups of Polygons
A polygon with all sides equal in length.
Equilateral polygon
Equiangular polygon
A polygon with all angles equal in measure.
A polygon with all angles equal in measure and all sides equal in length.
Regular polygon

15. Lesson 1.1 - Building Blocks of Geometry
Groups of Polygons
Equilateral polygon
The rhombus has all sides congruent.
The rectangle has all angles congruent.
Equiangular polygon
The square has all angles and sides congruent.
Regular polygon

16. Lesson 1.1 - Building Blocks of Geometry
Right Triangle
A triangle with one right angle.
Acute Triangle
A triangle with three acute angles.

17. Lesson 1.1 - Building Blocks of Geometry
Obtuse Triangle
A triangle with one obtuse angle.
Scalene Triangle
A triangle with no congruent sides.

18. Lesson 1.1 - Building Blocks of Geometry
Equilateral Triangle
A triangle with all sides congruent.
Isosceles Triangle
A triangle with two congruent sides.

19. Lesson 1.1 - Building Blocks of Geometry
Trapezoid
A quadrilateral with two sides parallel. A B
AB DC C D
A quadrilateral with both pairs of opposites sides parallel and congruent.
Parallelogram D C B A
AB DC
AC BD

20. Lesson 1.1 - Building Blocks of Geometry
Kite
A quadrilateral with two pair of adjacent sides congruent. A C B D
A quadrilateral with opposite sides parallel and all sides congruent.
Rhombus A
AB  BC  CD  DA
AB DC
AD BC D B C

21. Lesson 1.1 - Building Blocks of Geometry
Rectangle
A parallelogram with all angle congruent (right angles). A B
AB DC
AB  DC
AD BC
AD  BC D C
A parallelogram all angles congruent and all sides congruent.
Square A B
AB  BC  CD  DA
AB DC
AC BD D C

22. Lesson 1.1 - Building Blocks of Geometry
Circle – The set of points equidistant to a given point.
Radius – A segment with one endpoint on the circle and one endpoint on the center. XA
Diameter – A chord that passes thru the center of the circle. EB
Chord – A segment whose endpoints lie on the circle. FD
Tangent – A line that intersects a circle at only one point. Line GC
Arc – The distance between two points on a circle. AB A F E B X D C G

23. Lesson 1.1 - Building Blocks of GeometryA J F E B X D C

24. Conjectures
Through any two points there is exactly one line.
A· ·B
Through any three points there is at least one plane and through any three non-collinear points there is exactly one plane.
. A B .
. C

25. Conjectures
If two lines intersect, then they intersect in exactly one point. l m A
Line l intersects line m at A. A X Y B

26. Dimensions A line contains at least two points
A plane contains at least 3 points not in a line
Space contains at least four points not all in one plane
1 dimension
2 dimensions
3 dimensions