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Slide 2 / 1125th GradeGeometry2015-11-23www.njctl.org

Slide 3 / 112Geometry Unit TopicsClick on the topic to go to that section· Polygons· Classifying Triangles & Quadrilaterals· Coordinate Plane· First Quadrant

Slide 4 / 112PolygonsClick to return to thetable of contents

Slide 5 / 112PolygonsExamples of polygons and figures that are not polygonsThese are polygonsThese are not polygons

Slide 6 / 112Shapes That Are Not PolygonsThis is not a polygon.click to revealIt is open,not closed.This is not a polygon.The clicksidescross over.to revealThis is not a polygonclick areto revealNot all sidesstraight.

Slide 7 / 112PolygonsA polygon is a simple, closed plane figure made up of 3or more line segments.Simple - line segments do not intersect (remember, linesegments are straight, not curved)Closed - When you trace the figure, it ends at thestarting point.Plane figure - a two-dimensional (flat) shape

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Slide 9 / 1121 Is this figure a polygon?YesNo

Slide 10 / 1122 Is this figure a polygon?YesNo

Slide 11 / 1123 Is this figure a polygon?YesNo

Slide 12 / 1124 Is this figure a polygon?YesNo

Slide 13 / 1125 Is this figure a polygon?YesNo

Slide 14 / 112PolygonsPolygons are named bytheir number of sides.NameNumberof SidesTriangle3Quadrilateral 10

Slide 15 / 112PolygonsInteresting fact: A polygon's number of sidesand number of angles are always the same.3 sides10 sides3 angles10 angles

Slide 16 / 1126 How many sides does a heptagon have?

Slide 17 / 1127 How many angles does a nonagon have?

Slide 18 / 1128 Name the figure.A QuadrilateralB HexagonC DecagonD Octagon

Slide 19 / 1129 Name the figure.A DecagonB HexagonC NonagonD Octagon

Slide 20 / 112Regular vs. Irregular PolygonsIf the figure's sides and angles are congruent, it is calleda regular polygon.

Slide 21 / 112Regular vs. Irregular PolygonsIf either the figure's sides or angles are not congruent, itis called an irregular polygon.

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Slide 23 / 11210 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 24 / 11211 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 25 / 11212 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 26 / 11213 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 27 / 11214 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 28 / 11215 What kind of polygon is this?AregularBirregularCnot a polygon

Slide 29 / 112ClassifyingTriangles &QuadrilateralsClick to return to thetable of contents

Slide 30 / 112TrianglesClassifying Triangles- Triangles can be classifiedby their angles or their sides.By SidesEquilateral TriangleAll sides are congruent.Isosceles TriangleAt least two sides arecongruent.Scalene TriangleNo sides are congruent.Match the picture to the definition

Slide 31 / 11216 Classify the triangle by its sidesAequilateralBscaleneCisosceles

Slide 32 / 11217 Classify the triangle by its sidesAequilateralBscaleneCisosceles

Slide 33 / 112TrianglesBy AnglesAcute TriangleAll three angles are lessthan 90 degrees.Right TriangleOne angle is 90 degrees.Obtuse TriangleOne angle is more than 90degrees.Match the picture to the definition

Slide 34 / 11218 Classify the triangle by its anglesAacuteBobtuseCright

Slide 35 / 11219 Classify the triangle by its anglesAacuteBobtuseCright

Slide 36 / 11220 Classify the triangle by its anglesA acuteB obtuseC right

Slide 37 / 112Click to go to web site thenchoose Triangle Sort.

Slide 38 / 11221Classify the triangle.A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 39 / 11222Classify the triangle.A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 40 / 11223If each of the angles in a triangle measures60 º , what is the triangle?A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 41 / 11224Classify the triangle.A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 42 / 11225Classify the triangle in the yield sign.A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 43 / 11226Classify the triangle this bridge makes.A equilateralB isoscelesC scaleneD acuteE rightF obtuseRemember: Classify by sides andangles (put in two answers)

Slide 44 / 112QuadrilateralsClassifying QuadrilateralsYou must use the properties of quadrilateralsto identify and classify them.Trapezoids - Exactly one pair of parallel sides.

Slide 45 / 112QuadrilateralsClassifying QuadrilateralsYou must use the properties of quadrilateralsto identify and classify them.Parallelogram - Opposite sides are congruent & parallel.Interesting fact: The opposite anglesof a parallelogram are also congruent.

Slide 46 / 112QuadrilateralsClassifying QuadrilateralsYou must use the properties of quadrilateralsto identify and classify them.Similar to triangles, quadrilaterals are classified by therelationships between their sides and angles.Rectangle - Special parallelogram withfour right angles

Slide 47 / 112QuadrilateralsClassifying QuadrilateralsYou must use the properties of quadrilateralsto identify and classify them.Rhombus - Parallelogram with four congruent sidesand opposite angles congruent

Slide 48 / 112QuadrilateralsClassifying QuadrilateralsYou must use the properties of quadrilateralsto identify and classify them.Square - Rhombus with four right anglesor a Rectangle with four congruent sides.

Slide 49 / 112Match the shape with the description.

Slide 50 / 112QuadrilateralsQuadrilateral4-sided polygonParallelogram4-sided polygontwo pairs of // sidesTrapezoid4-sided polygonone pair of // sidesRhombusRectangle4-sided polygontwo pairs of // sidesall sides 4-sided polygontwo pairs of // sidesall angles Square4-sided polygontwo pairs of // sidesall angles all sides

Slide 51 / 112PolygonQuadilateral

Slide 52 / 112PolygonQuadilateralTrapezoid

Slide 53 / 112PolygonQuadilateralParallelogramTrapezoid

Slide 54 / gle

Slide 55 / gleRhombus

Slide 56 / gleSquareRhombus

Slide 57 / 112Click for web site and then choose polygon sort.

Slide 58 / 112Drag and drop the names to complete the diagram thatshows the relationship among the figures listed. Eachcategory will be used only once.rhombusesparallelogramsFrom PARCC EOY sample test #13rectanglesquadrilaterals

Slide 59 / 11227 Which of the following shapes is atrapezoid?ACBD

Slide 60 / 11228 Which of statement(s) do NOT describe thefigure?A trapezoidB parallelogramC rectangleD rhombusE square

Slide 61 / 11229 Which of the statements does NOT describe thefigure?A trapezoidB parallelogramC rectangleD rhombusE square

Slide 62 / 11230 Which of the statement(s) does NOT describethe figure?A trapezoidB parallelogramC rectangleD rhombusE square

Slide 63 / 11231Which of the following statements is true?AA square is not a rectangle.BA rectangle is a square.CA square is not a parallelogram.DA square is a rectangle.

Slide 64 / 11232 Which shape has exactly one pair of // sides?A squareB rhombusC triangleD trapezoid

Slide 65 / 11233 Which shape has two sets of congruent angles andadjacent sides congruent?A squareB rectangleC rhombusD kite

Slide 66 / 11234 Describe the figure. Choose allanswers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 67 / 11235 Describe the figure. Choose allanswers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 68 / 11236 Describe the figure. Choose allanswers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 69 / 11237 Describe the figure. Choose allanswers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 70 / 11238 Describe the shape of the top of the desk.Choose all answers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 71 / 11239 Describe the shape for the face of the clock.Choose all answers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 72 / 11240 Describe the shape of the mouth of the shark.Choose all answers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 73 / 11241 Describe the shape of this marker.Choose all answers that apply.A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above

Slide 74 / 11242 Which of the following shapes could never haveperpendicular sides?A rectangleB triangleC circleD square

Slide 75 / 11243 Which of these shapes could never haveparallel opposite sides?A trapezoidB triangleC rectangleD rhombus

Slide 76 / 11244 Which explanation about figures is correct?A All rhombuses are parallelograms. Parallelogramshave 2 pair of parallel sides. Therefore, allrhombuses have 2 pairs of parallel sides.B All rhombuses are parallelograms. Parallelogramshave exactly 1 pair of parallel sides. Therefore, allrhombuses have exactly 1 pair of parallel sides.C Only some rhombuses are parallelograms.Parallelograms have 2 pairs of parallel sides.Therefore, only some rhombuses have 2 pair ofparallel sides.D Only some rhombuses are parallelograms.Parallelograms have exactly 1 pair of parallel sides.Therefore, only some rhombuses have exactly 1 pairof parallel sides.From PARCC EOY sample test #7

Slide 77 / 11245 Select an answer for each blank.Because a is a , it must have 4A squareD squareB rectangleE rectangleC trapezoidF rhombusopposite angles and all four sides .

Slide 78 / 112CoordinatePlaneClick to return to thetable of contents

Slide 79 / 112Coordinate PlaneThe coordinate plane is formed by twointersecting number lines called axes.The horizontal line is the x-axis.The vertical line is the y-axis.

Slide 80 / 112Coordinate PlaneOrigin(0, 0)The point at which the x and y axes intersect is called the origin.The coordinates of the origin are (0, 0).

Slide 81 / 112Coordinate PlaneyxPoints can be plotted on the plane using one coordinate from each ofthe axes. These sets are called ordered pairs. The x coordinatealways appears first in these pairs. The y coordinate appearssecond.(x,y)

Slide 82 / 112Coordinate PlaneTo graph an ordered pair, such as(4,3):· Start at the origin (0,0).· Move right on the x-axis, since the firstnumber is positive.· Then, move up since the second number ispositive.· Plot the point.(4,3)

Slide 83 / 112Coordinate Planeyx(x,y)This point is (3,2).To plot the point, go over 3, then up 2.

Slide 84 / 112Coordinate Planeyx(x,y)This point is (1,4).To plot the point, go over 1, then up 4.

Slide 85 / 112Coordinate Planeyx(x,y)This point is (5,0).To plot the point, go over 5, then up 0.

Slide 86 / 11246 Which point is at the origin?yABCDx

Slide 87 / 11247 Which point is at (1,3)?yABCDx

Slide 88 / 11248 Which point is at (3,3)?yABCDx

Slide 89 / 11249 Which point is at (0,5)?yADBCx

Slide 90 / 11250 Which ordered pair is the origin?A (4,0)B (0,0)C (0,4)D (4,4)

Slide 91 / 11251 Which number in the ordered pair (7,3) isthe x-coordinate?A 7B 3C 0D x

Slide 92 / 11252 Which number in the ordered pair (5,9) isthe y-coordinate?A 0B 5C 9D y

Slide 93 / 11253 Which number in the ordered pair (7,12)is the y-coordinate?A 7B 12C 0D y

Slide 94 / 11254 Which number in the ordered pair (7,12) isthe x-coordinate?A 7B 12C 0D x

Slide 95 / 11255 Select three statements that correctly describe thecoordinate system.A The x- and y-axes intersect at 10.B The x- and y-axes intersect at the origin.C The x- and y-axes are parallel number lines.D The x- and y-axes are perpendicular number lines.E The x- and y-axes are used to locate points on acoordinate plane.From PARCC EOY sample test #32