Angles and Shapes Review

Points, Lines, Angles C G A E U T H B F I D X J L Point ____________ Line Segment Line Intersecting Line Perpendicular Line Parallel Lines Ray Vertex Acute Angle Obtuse Angle Right Angle Straight Angle P M O N V S EQ: Where do we see angles in everyday life?

Line Segment ______________ Line _____________ 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 ________________

B A C D

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?

Properties of Quadrilaterals 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.

I have only one pair of parallel sides. What do I look like? I have only one pair of parallel sides.

I’m a trapezoid.

Properties of Quadrilaterals 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.

I have opposite sides parallel and opposite sides are the same length. What do I look like? I have opposite sides parallel and opposite sides are the same length.

I’m a parallelogram.

Properties of Quadrilaterals 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.

My opposite sides are parallel and all four angles are right angles. What do I look like? My opposite sides are parallel and all four angles are right angles.

I’m a rectangle.

Properties of Quadrilaterals 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.

What do I look like? My opposite sides are parallel and my four sides are the same length.

I’m a rhombus.

Properties of Quadrilaterals 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.

I have four sides that are the same length and 4 right angles. What do I look like? I have four sides that are the same length and 4 right angles.

I’m a square.

Properties of Quadrilaterals 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.

What do I look like? I have 8 sides and 8 angles.

I’m an octagon.

I have six sides and six angles. 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 Triangles Scalene Triangle Isosceles 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

I have 3 sides. None of my sides are the same length. What do I look like? I have 3 sides. None of my sides are the same length.

I’m a scalene triangle.

Properties of Triangles Scalene Triangle Isosceles 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

I have 3 sides. At least 2 sides are the same length. What do I look like? I have 3 sides. At least 2 sides are the same length.

I’m an Isosceles Triangle

Properties of Triangles Scalene Triangle Isosceles 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 Triangles Scalene Triangle Isosceles 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

I have 3 sides and one angle is a right angle. What do I look like? I have 3 sides and one angle is a right angle.

I’m a right triangle.

Properties of Triangles Scalene Triangle Isosceles 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

I have 3 sides and all my angles are acute angles. What do I look like? I have 3 sides and all my angles are acute angles.

I’m an acute triangle.

Properties of Triangles Scalene Triangle Isosceles 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

I have 3 sides and one of my angles is an obtuse 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 Triangles Scalene Triangle Isosceles 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

Circle What makes a circle different from a polygon? Is this a polygon? Yes or No Draw a radius A A B D C Draw a diameter Draw a chord A B A B D D C C

How can we make shapes look different? Geometric Vocabulary Congruent Rotation 360 degrees 270 degrees 90 degrees 180 degrees Translation Reflection Flip it over Slide in a straight line How can we make shapes look different?

360 degrees = full rotation

360 degrees = full rotation

Translation “Trans” portation

Reflection

Line of Symmetry Rotational Symmetry It 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 Symmetry Rotate a shape less than full turn (360 degrees) and it looks the same. How can symmetry help us create shapes?

Create A Geometry City Optional: You have been given the task of developing a city. The only thing that you have to have in your city are the following: Two streets that are parallel to each other One highway that is perpendicular to the two parallel streets One avenue that intersects at least two streets but is not perpendicular to them One rectangular building Two square buildings One trapezoid building One park with a circular swimming pool One right triangular sandbox in the park Two rectangular basketball courts in the park One rhombus hospital building One parallelogram school building One obtuse triangle movie theater building 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 Vocabulary Faces Edge Vertex (Vertices) Where is it located? Where is it NOT located? Where is it NOT located? Where is it NOT located?

Math Vocabulary Faces Edge Vertex (Vertices) Where is it located? A point where 3 or more edges of a solid figure meet. Flat surfaces on solid figures. The line segment where two faces of a solid figure meet. Where is it NOT located? Where is it NOT located? Where is it NOT located?

Solid Figures Graphic Organizer Number of Faces Number of Edges Number of Vertices Cube Rectangular Prism Square Pyramid Triangular Pyramid Triangular Prism Cone Cylinder

Solid Figures Graphic Organizer Number of Faces Number of Edges Number of Vertices Cube 6 12 8 Rectangular Prism Square Pyramid 5 Triangular Pyramid 4 Triangular Prism 9 Cone 1 Cylinder 2

Cube Count the faces ________ Count the edges _________ Count the vertices _________

Rectangular Prism Count the faces ________ Count the edges _________ Count the vertices _________

Square Pyramid Count the faces ________ Count the edges _________ Count the vertices _________

Cone Count the faces ________ Count the edges _________ Count the vertices _________

Cylinder Count the faces ________ Count the edges _________ Count the vertices _________

Triangular Pyramid Count the faces ________ Count the edges _________ Count the vertices _________