Angles and Shapes Review

Points, Lines, Angles

A

B

C

S

NO

P

M

L

XI

J

HF

GE

D

Point ____________Line SegmentLineIntersecting LinePerpendicular LineParallel LinesRayVertexAcute AngleObtuse AngleRight AngleStraight Angle

U T

V

EQ: Where do we see angles in everyday life?

Please find each of the following on the attached picture. Please write the symbol and letter for each so I know what you found!

Point ____________

Line Segment ______________

Line _____________

Intersecting Lines ____________________________

Perpendicular Lines _______________

Parallel Lines ________________

A

DC

B

Can you name these angles?

1 2 3 4

Polygon Graphic Organizer

Equilateral Triangle Isosceles Triangle Scalene Triangle

Right Triangle Obtuse Triangle Acute Triangle

Rectangle Square Trapezoid

Polygon Graphic Organizer

Parallelogram Rhombus Pentagon

Hexagon Octagon Triangle

Quadrilateral Regular Polygon Irregular Polygon

What is a polygon?

What is a polygon?

When line segments are connected at endpoints to make a closed figure, a polygon is formed.

Line segments are called SIDES.

What is a regular polygon?

What is an irregular polygon?

What are regular and irregular polygons?

A regular polygon has all sides equal lengths and all angles equal degrees.An irregular polygon does not have all sides equal length or all angles equal degrees.

How are polygons named?

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

I have only one pair of parallel sides.

I’m a trapezoid.

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

I have opposite sides parallel and opposite sides are the same length.

I’m a parallelogram.

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

My opposite sides are parallel and all four angles are right angles.

I’m a rectangle.

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

My opposite sides are parallel and my four sides are the same length.

I’m a rhombus.

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

I have four sides that are the same length and 4 right angles.

I’m a square.

Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid

4 connected sides.

Only one set of equal sides.

Opposite sides equal.

Opposite sides parallel.

All sides are equal.

Opposite angles equal.

All angles are 90 degrees.

Properties of Quadrilaterals

What do I look like?

I have 8 sides and 8 angles.

I’m an octagon.

What do I look like?

I have six sides and six angles.

I am a hexagon.

What do I look like?

I have 5 sides and 5 angles.

I’m a pentagon.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

What do I look like?

I have 3 sides. None of my sides are the same length.

I’m a scalene triangle.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

What do I look like?

I have 3 sides. At least 2 sides are the same length.

I’m an Isosceles Triangle

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

What do I look like?

I have 3 sides and all my sides are the same length and all my angles are the same.

I’m an equilateral triangle.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

What do I look like?

I have 3 sides and one angle is a right angle.

I’m a right triangle.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

One 90 degree angle

All -90 degree angles

One +90 degree angle

What do I look like?

I have 3 sides and all my angles are acute angles.

I’m an acute triangle.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

One 90 degree angle

All -90 degree angles

One +90 degree angle

What do I look like?

I have 3 sides and one of my angles is an obtuse angle.

I’m an obtuse triangle.

Properties of TrianglesTriangle Scalene

TriangleIsosceles Triangle

Equilateral Triangle

Right Triangle

Acute Triangle

Obtuse Triangle

Three connected sides

No equal sides

Two equal sides

Three equal sides

No equal angles

Two equal angles

Three equal angles

One 90 degree angle

All -90 degree angles

One +90 degree angle

Polygons

Diagonal Lines and The Triangle Secret!

How do the properties of geometric figures influence their use? How do diagonal lines help us understand how geometric figures are created?

Circles

CircleIs this a polygon? Yes or No Draw a radius

Draw a diameter Draw a chord

AA B

D

D

A

C

B

D

A

C

C

B

What makes a circle different from a polygon?

Geometric VocabularyCongruent Rotation

ReflectionTranslation

Slide in a straight line

Flip it over

90 degrees

180 degrees

270 degrees

360 degrees

How can we make shapes look different?

360 degrees = full rotation

45 degrees

90 degrees

180 degrees

360 degrees = full rotation

45 degrees

90 degrees

180 degrees

Translation

“Trans” portation

Reflection

Line of SymmetryIt can be folded in half so the two parts match exactly. The

fold line is the line of symmetry.

Shapes can have more than one line of symmetry.

Rotational SymmetryRotate a shape less than full

turn (360 degrees) and it looks the same.

How can symmetry help us create shapes?

Create A Geometry CityYou have been given the task of developing a city. The only thing that you have to have in your city are the following:

1. Two streets that are parallel to each other2. One highway that is perpendicular to the two parallel streets3. One avenue that intersects at least two streets but is not perpendicular to them4. One rectangular building5. Two square buildings6. One trapezoid building7. One park with a circular swimming pool8. One right triangular sandbox in the park9. Two rectangular basketball courts in the park10. One rhombus hospital building11. One parallelogram school building12. One obtuse triangle movie theater building13. One equilateral triangle walking track

You MUST use a ruler and protractor to draw your lines with precision.

You must name your city. Place the name in an attractive way on your paper.

All parts of your city must be labeled with names (for example, name the park, streets, buildings, highway, etc.).

BONUS POINTS: Use names that have a geometric sound (for example, “Triangle Park”).

Optional:You may create an additional building or object. Be sure to add the name of the shape(s) you drew beside the extra item.

Math VocabularyFaces Edge Vertex (Vertices)

Where is it located? Where is it located? Where is it located?

Where is it NOT located? Where is it NOT located?Where is it NOT located?

Math VocabularyFaces Edge Vertex (Vertices)

Where is it located? Where is it located? Where is it located?

Where is it NOT located?Where is it NOT located?Where is it NOT located?

Flat surfaces on solid figures.

The line segment where two faces of a solid figure meet.

A point where 3 or more edges of a solid figure meet.

Solid Figures Graphic OrganizerSolid Figures Number of Faces Number of Edges Number of Vertices

Cube

Rectangular Prism

Square Pyramid

Triangular Pyramid

Triangular Prism

Cone

Cylinder

Solid Figures Graphic OrganizerSolid Figures Number of Faces Number of Edges Number of Vertices

Cube 6 12 8Rectangular Prism 6 12 8Square Pyramid 5 8 5Triangular Pyramid 4 6 4Triangular Prism 5 9 6Cone 1 0 0Cylinder 2 0 0

CubeCount the faces ________Count the edges _________Count the vertices _________

Rectangular PrismCount the faces ________Count the edges _________Count the vertices _________

Square PyramidCount the faces ________Count the edges _________Count the vertices _________

ConeCount the faces ________Count the edges _________Count the vertices _________

CylinderCount the faces ________Count the edges _________Count the vertices _________

Triangular PyramidCount the faces ________Count the edges _________Count the vertices _________