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**Geometry Chapter 1 Review TEST Friday, October 25 Lessons 1.1 – 1.7**

Homework: Page / , 35 – 44

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**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.

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**Lesson 1.1 Building Blocks of Geometry**

A 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

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**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

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**Lesson 1.1 - Building Blocks of Geometry**

X 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. •

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**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

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**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.

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**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

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**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.

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**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

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**Lesson 1.1 - Building Blocks of Geometry**

Naming Polygons n= 5 Pentagon n= 6 Hexagon Octagon n= 8

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**Lesson 1.1 - Building Blocks of Geometry**

A B Polygon Features Consecutive angles F E C D FAB & ABC Consecutive sides AF & FE Consecutive vertices F & E

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**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.

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**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

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**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

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**Lesson 1.1 - Building Blocks of Geometry**

Right Triangle A triangle with one right angle. Acute Triangle A triangle with three acute angles.

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**Lesson 1.1 - Building Blocks of Geometry**

Obtuse Triangle A triangle with one obtuse angle. Scalene Triangle A triangle with no congruent sides.

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**Lesson 1.1 - Building Blocks of Geometry**

Equilateral Triangle A triangle with all sides congruent. Isosceles Triangle A triangle with two congruent sides.

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**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

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**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

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**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

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**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

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**Lesson 1.1 - Building Blocks of Geometry**

A J F E B X D C

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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

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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

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**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

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