Presentation on theme: "Geometry Chapter 1 Review TEST Friday, October 25 Lessons 1.1 – 1.7"— Presentation transcript:
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 PointA location in space. No sizeLineA 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.PlaneAB•CCollinearA set of points that lie on a line.A •B •CoplanarA set of points, segments, lines,… that lie on a plane.
3 Lesson 1.1 Building Blocks of Geometry ABA set of collinear points having two endpoints.Line SegmentABCongruent SegmentsTwo or more line segments that are congruent (same size & shape)XYMidpoint of a Segment•A point that divides/bisects a segment into two equal parts.XYA
4 Lesson 1.1 Building Blocks of Geometry •XYAMidpoint of a Segment (formula)x 1, y1x 2, y2AB•Ray•GH
5 Lesson 1.1 - Building Blocks of Geometry XBAAngleThe union of two noncollinear rays having a common endpoint.< AXB••XBA•Congruent AnglesTwo or more angles with the same measure•STR•AXB RST means that the measure of both angles are equal.•
6 Lesson 1.1 - Building Blocks of Geometry Angle of ReflectionThe reflection of an angle will have the same measure from the reflected surface as the initial angle.50oIncoming angle=Outgoing angle50o
7 Lesson 1.1 - Building Blocks of Geometry An angle whose measure is equal 90 o.Right AngleAcute AngleAn angle whose measure is < 90 o.Obtuse AngleAn angle whose measure is > 90 o.
8 Lesson 1.1 - Building Blocks of Geometry Complimentary AnglesTwo angles whose sum of measure equals 90°.1 + 2 = 90°.1267Adjacent Complimentary AnglesTwo angles whose sum of measure equals 90°.6 + 7 = 90°.Two angles whose sum of measure equals 180°. 4 + 5 = 180°.Supplementary Angles45
9 Lesson 1.1 - Building Blocks of Geometry Vertical Angles1Opposite and congruent angles formed by the intersection of two lines. 1 = 22Linear Pair of Angles89Two adjacent supplementary angles . 8 + 9 = 180.
10 Lesson 1.1 - Building Blocks of Geometry PolygonA 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.Trianglen-gonA polygon with n number of sides where n is equal to any positive integer.OctagonTrianglen = 3n = 8
11 Lesson 1.1 - Building Blocks of Geometry Naming Polygonsn= 5Pentagonn= 6HexagonOctagonn= 8
12 Lesson 1.1 - Building Blocks of Geometry ABPolygon FeaturesConsecutive anglesFECDFAB & ABCConsecutive sidesAF & FEConsecutive verticesF & E
13 Lesson 1.1 - Building Blocks of Geometry Diagonal of a PolygonA line segment that connects two nonconsecutive vertices of a polygon.AEFDCBAC. AD, & AE are each diagonals of this polygon.
14 Lesson 1.1 - Building Blocks of Geometry Groups of PolygonsA polygon with all sides equal in length.Equilateral polygonEquiangular polygonA 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 PolygonsEquilateral polygonThe rhombus has all sides congruent.The rectangle has all angles congruent.Equiangular polygonThe square has all angles and sides congruent.Regular polygon
16 Lesson 1.1 - Building Blocks of Geometry Right TriangleA triangle with one right angle.Acute TriangleA triangle with three acute angles.
17 Lesson 1.1 - Building Blocks of Geometry Obtuse TriangleA triangle with one obtuse angle.Scalene TriangleA triangle with no congruent sides.
18 Lesson 1.1 - Building Blocks of Geometry Equilateral TriangleA triangle with all sides congruent.Isosceles TriangleA triangle with two congruent sides.
19 Lesson 1.1 - Building Blocks of Geometry TrapezoidA quadrilateral with two sides parallel.ABAB DCCDA quadrilateral with both pairs of opposites sides parallel and congruent.ParallelogramDCBAAB DCAC BD
20 Lesson 1.1 - Building Blocks of Geometry KiteA quadrilateral with two pair of adjacent sides congruent.ACBDA quadrilateral with opposite sides parallel and all sides congruent.RhombusAAB BC CD DAAB DCAD BCDBC
21 Lesson 1.1 - Building Blocks of Geometry RectangleA parallelogram with all angle congruent (right angles).ABAB DCAB DCAD BCAD BCDCA parallelogram all angles congruent and all sides congruent.SquareABAB BC CD DAAB DCAC BDDC
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. XADiameter – A chord that passes thru the center of the circle. EBChord – A segment whose endpoints lie on the circle. FDTangent – A line that intersects a circle at only one point. Line GCArc – The distance between two points on a circle. ABAFEBXDCG
23 Lesson 1.1 - Building Blocks of Geometry AJFEBXDC
24 ConjecturesThrough any two points there is exactly one line.A· ·BThrough 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 ConjecturesIf two lines intersect, then they intersect in exactly one point.lmALine l intersects line m at A.AXYB
26 Dimensions A line contains at least two points A plane contains at least 3 points not in a lineSpace contains at least four points not all in one plane1 dimension2 dimensions3 dimensions