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# Geometry Scavenger Hunt

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#### Transcript of Geometry Scavenger Hunt

Aarushi Vashisht, Janie Wang, & Sreya Santanam Period 8 Geometry Scavenger Hunt Slide 1 ------------------------------------ Title Page

Slide 2 --------------------------- Table of Contents

Slide 3 ---------------------------------- Rectangles

Slide 4 ------------------------------------- Cylinders

Slide 5 ----------------------- Rectangular Prisms

Slide 6 --------------------------------------- Spheres

Slide 7 ------------------------------------------- Radii

Slide 8 ---------------------------- Right Triangles

Slide 9 ------------------------------ Paralleolgrams

Slide 10 ------------------------------ Parallel Lines

Slide 11 ------------------------------- Acute Angles

Slide 12 -------------------------------------- Squares

Slide 13 --------------------------------- Semicircles

Slide 14 ----------------------------------- Hexagons

Slide 15 -------------------------------- Bibliography Table of Contents Rectangles Definition: A geometric figure with 4 right angles.

Facts:

1) All rectangles are parallelograms.

2) A square is considered a rectangle because it has 4 right angles, too.

3) All rectangles are quadrilaterals.

4) A rectangle has 2 pairs of opposite sides that are congruent. Cylinders Definition: A solid, 3-D figure which has 2 circular bases connected by a curved side.

Facts:

1) The volume of a cylinder is: pi*radius^2*height.

2) The surface area of a cylinder is: (2pi*radius*height) + (2pi*radius^2)

3) Cylinders are not polyhedrons because they have a curved side.

4) Some cylinders are oblique cylinders. They are cylinders whose segment that connects the centers of the bases isn't perpendicular to the bases. Rectangular Prisms Definition: A 6-sided, 3-D figure, in which all the faces are rectangles.

Facts:

1) A rectangular prism is a cuboid: which is a box-shaped object.

2) All the angles of the faces in a rectangular prism are right angles.

3) The surface area of a rectangular prism is: 2wl + 2wh + 2hl, where w=width, h=height, and l=length.

4) The volume of a rectangular prism is: length*width*height. Spheres Definition: A three-dimensional figure in which every point on its surface is equidistant from the center.

Facts:

1) The surface area of a sphere is: (4*pi*radius^2)

2) A sphere has no vertices or corners.

3) All spheres are symmetrical.

4) Spheres are not polyhedrons. Radii Definition:

A segment that connects the center of a circle to a point on the circle.

Facts:

1) The radius is 1/2 of the diameter (the diameter is a straight line that connects 2 points on a circle while going through the center).

2) All the radii in a circle have the same length.

3) If you know the circumfrence of a circle, the radius equals: (Circumfrence/2pi).

4) If you know the area of a circle, then the radius equals: sqrt(Area/pi). Right Triangles Bibliography http://www.mathsisfun.com/definitions/cylinder.html

http://www.mathsisfun.com/definitions/sphere.html

http://www.mathsisfun.com/geometry/sphere.html

http://www.mathsisfun.com/geometry/cuboids-rectangular-prisms.html

http://www.mathsisfun.com/definitions/rectangular-prism.html

http://en.wikipedia.org/wiki/Pi

http://www.mathsisfun.com/geometry/cylinder.html

http://www.math.com/school/subject3/lessons/S3U4L4DP.html

http://www.math.com/school/subject3/lessons/S3U4L4DP.html

http://en.wikipedia.org/wiki/Square

http://www.mathsisfun.com/acute.html

http://www.mathsisfun.com/geometry/parallel-lines.html

http://www.mathopenref.com/radius.html

http://en.wikipedia.org/wiki/Semicircle

http://www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm

Geometry Notes

Prentice Hall Geometry Textbook Definition: A triangle where one of the angles is 90 degrees.

Facts:

1) In right triangles, there is always one right angle and 2 acute angles.

2) In a right triangle, if you know two sides of the triangle, then you can figure out the third one using the Pythagorean Theorem, which is (a^2 + b^2 = c^2) where a = one leg, b= the other leg, and c= hypotenuse.

3) In right triangles, you can use sine, Cosine, and Tangent to find any missing angle or side; but only if you already know at least 2 sides.

4) The area of a right triangle is (1/2*base*height). Parallelograms Definition: A quadrilateral that has 2 pairs of opposite sides that are parallel.

Facts:

1) In a quadrilateral, if one pair of opposite sides are parallel AND congruent, then the figure is a parallelogram.

2) In a parallelogram, opposite angles are congruent.

3) In a parallelogram, opposite sides are congruent.

4) In a parallelogram, the diagonals bisect each other. Definition: Lines that remain the same distance apart over their entire length. No matter how far you extend them, they will never intersect.

Facts:

1) When a transversal cuts two parallel lines, the angles in corresponding corners are called corresponding angles, and they are congruent.

2) When a transversal cuts two parallel lines, angles on the same side of the transversal but inside the two parallel lines are called consecutive or same-side angles, and they are supplementary.

3) When a transversal cuts two parallel lines, the angles on opposite sides of the transversal but between the two parallel lines are called alternate interior angles, and they are congruent.

4) When a transversal cuts two parallel lines, angles on opposite sides

of the transversal but outside the two parallel lines are called alternate

exterior angles, and they are congruent. Parallel Lines Definition: Angles that have a measure greater than 0 degrees but less than 90 degrees.

Facts:

1) Acute angles were named after the word "acute", which means 'sharp'.

2) Every triangle has at least two acute angles.

3) An equilateral triangle contains three acute angles.

4) The supplement of an acute angle will always be an obtuse angle. Acute Angles Squares Definition: A regular quadrilateral with 2 pairs of opposite, parallel, and congruent sides and 4 right angles.

Facts:

1) A square's diagonals are congruent, perpendicular, and they bisect each other and the square's 4 angles.

2) Opposite sides are both parallel and congruent, and all four angles are congruent.

3) The diagonal of a square divides the square into two congruent special 45-45-90 right traingles.

4) The perimeter of a square is 4l, where l=length, and the area of a square is s^2, where s is the length of a side. Semicircles Definition: A semicircle is 1/2 of a circle.

Facts:

1) The area of a semicircle is (pi*radius^2)/2.

2) The circumfrence of a semicircle is (pi*radius) + diameter.

3) A semicircle equals 180 degrees.

4) A semicircle has 2 vertices. Hexagons Definition: A hexagon is a polygon with six sides and six vertices.

Facts:

1) The area of a regular hexagon can be found by using the formula A=1/2(a)(p), where 'a' is the apothem and 'p' is the perimeter of the hexagon.

2) The apothem of a regular hexagon also bisects the side it intersects.

3) If a regular hexagon is divided equally into 6 pieces, then each piece would be a triangle.

4) If the bases of two isosceles trapezoids are matched up, the sides of the isosceles trapezoids (excluding the bases that get matched up) form a hexagon.

Full transcriptSlide 2 --------------------------- Table of Contents

Slide 3 ---------------------------------- Rectangles

Slide 4 ------------------------------------- Cylinders

Slide 5 ----------------------- Rectangular Prisms

Slide 6 --------------------------------------- Spheres

Slide 7 ------------------------------------------- Radii

Slide 8 ---------------------------- Right Triangles

Slide 9 ------------------------------ Paralleolgrams

Slide 10 ------------------------------ Parallel Lines

Slide 11 ------------------------------- Acute Angles

Slide 12 -------------------------------------- Squares

Slide 13 --------------------------------- Semicircles

Slide 14 ----------------------------------- Hexagons

Slide 15 -------------------------------- Bibliography Table of Contents Rectangles Definition: A geometric figure with 4 right angles.

Facts:

1) All rectangles are parallelograms.

2) A square is considered a rectangle because it has 4 right angles, too.

3) All rectangles are quadrilaterals.

4) A rectangle has 2 pairs of opposite sides that are congruent. Cylinders Definition: A solid, 3-D figure which has 2 circular bases connected by a curved side.

Facts:

1) The volume of a cylinder is: pi*radius^2*height.

2) The surface area of a cylinder is: (2pi*radius*height) + (2pi*radius^2)

3) Cylinders are not polyhedrons because they have a curved side.

4) Some cylinders are oblique cylinders. They are cylinders whose segment that connects the centers of the bases isn't perpendicular to the bases. Rectangular Prisms Definition: A 6-sided, 3-D figure, in which all the faces are rectangles.

Facts:

1) A rectangular prism is a cuboid: which is a box-shaped object.

2) All the angles of the faces in a rectangular prism are right angles.

3) The surface area of a rectangular prism is: 2wl + 2wh + 2hl, where w=width, h=height, and l=length.

4) The volume of a rectangular prism is: length*width*height. Spheres Definition: A three-dimensional figure in which every point on its surface is equidistant from the center.

Facts:

1) The surface area of a sphere is: (4*pi*radius^2)

2) A sphere has no vertices or corners.

3) All spheres are symmetrical.

4) Spheres are not polyhedrons. Radii Definition:

A segment that connects the center of a circle to a point on the circle.

Facts:

1) The radius is 1/2 of the diameter (the diameter is a straight line that connects 2 points on a circle while going through the center).

2) All the radii in a circle have the same length.

3) If you know the circumfrence of a circle, the radius equals: (Circumfrence/2pi).

4) If you know the area of a circle, then the radius equals: sqrt(Area/pi). Right Triangles Bibliography http://www.mathsisfun.com/definitions/cylinder.html

http://www.mathsisfun.com/definitions/sphere.html

http://www.mathsisfun.com/geometry/sphere.html

http://www.mathsisfun.com/geometry/cuboids-rectangular-prisms.html

http://www.mathsisfun.com/definitions/rectangular-prism.html

http://en.wikipedia.org/wiki/Pi

http://www.mathsisfun.com/geometry/cylinder.html

http://www.math.com/school/subject3/lessons/S3U4L4DP.html

http://www.math.com/school/subject3/lessons/S3U4L4DP.html

http://en.wikipedia.org/wiki/Square

http://www.mathsisfun.com/acute.html

http://www.mathsisfun.com/geometry/parallel-lines.html

http://www.mathopenref.com/radius.html

http://en.wikipedia.org/wiki/Semicircle

http://www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm

Geometry Notes

Prentice Hall Geometry Textbook Definition: A triangle where one of the angles is 90 degrees.

Facts:

1) In right triangles, there is always one right angle and 2 acute angles.

2) In a right triangle, if you know two sides of the triangle, then you can figure out the third one using the Pythagorean Theorem, which is (a^2 + b^2 = c^2) where a = one leg, b= the other leg, and c= hypotenuse.

3) In right triangles, you can use sine, Cosine, and Tangent to find any missing angle or side; but only if you already know at least 2 sides.

4) The area of a right triangle is (1/2*base*height). Parallelograms Definition: A quadrilateral that has 2 pairs of opposite sides that are parallel.

Facts:

1) In a quadrilateral, if one pair of opposite sides are parallel AND congruent, then the figure is a parallelogram.

2) In a parallelogram, opposite angles are congruent.

3) In a parallelogram, opposite sides are congruent.

4) In a parallelogram, the diagonals bisect each other. Definition: Lines that remain the same distance apart over their entire length. No matter how far you extend them, they will never intersect.

Facts:

1) When a transversal cuts two parallel lines, the angles in corresponding corners are called corresponding angles, and they are congruent.

2) When a transversal cuts two parallel lines, angles on the same side of the transversal but inside the two parallel lines are called consecutive or same-side angles, and they are supplementary.

3) When a transversal cuts two parallel lines, the angles on opposite sides of the transversal but between the two parallel lines are called alternate interior angles, and they are congruent.

4) When a transversal cuts two parallel lines, angles on opposite sides

of the transversal but outside the two parallel lines are called alternate

exterior angles, and they are congruent. Parallel Lines Definition: Angles that have a measure greater than 0 degrees but less than 90 degrees.

Facts:

1) Acute angles were named after the word "acute", which means 'sharp'.

2) Every triangle has at least two acute angles.

3) An equilateral triangle contains three acute angles.

4) The supplement of an acute angle will always be an obtuse angle. Acute Angles Squares Definition: A regular quadrilateral with 2 pairs of opposite, parallel, and congruent sides and 4 right angles.

Facts:

1) A square's diagonals are congruent, perpendicular, and they bisect each other and the square's 4 angles.

2) Opposite sides are both parallel and congruent, and all four angles are congruent.

3) The diagonal of a square divides the square into two congruent special 45-45-90 right traingles.

4) The perimeter of a square is 4l, where l=length, and the area of a square is s^2, where s is the length of a side. Semicircles Definition: A semicircle is 1/2 of a circle.

Facts:

1) The area of a semicircle is (pi*radius^2)/2.

2) The circumfrence of a semicircle is (pi*radius) + diameter.

3) A semicircle equals 180 degrees.

4) A semicircle has 2 vertices. Hexagons Definition: A hexagon is a polygon with six sides and six vertices.

Facts:

1) The area of a regular hexagon can be found by using the formula A=1/2(a)(p), where 'a' is the apothem and 'p' is the perimeter of the hexagon.

2) The apothem of a regular hexagon also bisects the side it intersects.

3) If a regular hexagon is divided equally into 6 pieces, then each piece would be a triangle.

4) If the bases of two isosceles trapezoids are matched up, the sides of the isosceles trapezoids (excluding the bases that get matched up) form a hexagon.