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Ep358: Geometry Trivia · Kidcast Daily

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  Hit play. It's trivia time.
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  Gather round friends in the lines for space, books, movies 2
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  science facts coming at you Hey kid cast daily trivia time.
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  Shout your answer, let it shine. Guess it, grab it, score your
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  points, laugh and learn in every Join Kid Cast Daily.
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  Here we go. Ready.
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  Set your brains. Well, good day knowledge
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  adventures. Welcome to Kit Cast Daily, where
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  every episode takes you on a journey through sports, science,
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  history, and all the fascinating corners of our world.
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  Today we are exploring geometry, the branch of math that studies
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  shapes, sizes, positions and dimensions.
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  You see geometry all around you in tiles on a floor, the face of
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  a clock, a soccer balls pattern, and the screen of a tablet.
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  Get ready for quick questions, short pauses, and clear answers
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  that build your shape smarts warm up time.
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  Here comes your first question. What do you call a shape with
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  straight sides that closes up? The answer is a Polygon.
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  A Polygon is any closed shape made only of straight line
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  segments like a triangle, square, or Pentagon.
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  If its sides and angles are all equal, it is called a regular
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  Polygon. Question 2.
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  How many degrees are in the angles of a triangle when you
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  add them all up? The answer is 180°.
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  No matter the type of triangle, the interior angles always total
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  180°. An equilateral triangle has 360°
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  angles that add to 180. Question three.
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  What do you call an angle that is exactly 90°?
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  The answer is a right angle. It looks like the corner of a
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  piece of paper or a book. Angles smaller than 90° are
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  acute, and angles larger than 90 but less than 180 are obtuse.
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  Question for a circle has how many degrees around it?
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  The answer is 360°. This is called a full turn.
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  If you rotate halfway around a circle, that is 180° and a
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  quarter turn is 90°. Question 5.
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  In a circle, which is longer, the radius or the diameter?
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  The answer is the diameter. The radius goes from the center
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  to the edge, and the diameter goes all the way across through
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  the center. So the diameter equals to radii.
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  If a radius is 5 units, the diameter is 10 units.
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  Question 6. What is the special name for a
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  triangle with all three sides the same length?
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  The answer is an equilateral triangle.
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  In an equilateral triangle, all three angles are equal to each
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  measuring 60°. This triangle is also a regular
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  Polygon because its sides and angles match.
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  Question 7. What do we call the distance
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  around a shape like the outside of a rectangle?
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  The answer is perimeter. You find perimeter by adding the
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  lengths of all sides. For a rectangle that is length
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  plus width plus length plus width or two times length +2
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  times width. Question 8.
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  What do we call the amount of space of flat shape covers like
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  the inside of a rectangle? The answer is area.
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  For a rectangle, area equals length times width.
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  Area is measured in square units like square centimeters or
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  square meters. Question 9.
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  How many sides does a hexagon have?
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  The answer is 6 sides. A regular hexagon has 6 equal
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  sides and 6 equal angles. Hexagons can fit together with
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  no gaps to make a tessellation. Question 10.
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  What is the formula letter we use for the number that compares
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  a circle's circumference to its diameter?
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  The answer is π written with the Greek letter Pi π is about
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  3.14159 and it goes on without repeating.
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  You can find a circle circumference with C = π times
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  diameter or π * 2 times radius. Question 11.
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  A square belongs to what larger family of shapes with four
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  sides? The answer is quadrilaterals.
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  A quadrilateral is any 4 sided Polygon, a square is a special
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  quadrilateral with four equal sides and four right angles, and
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  a rectangle is a quadrilateral with four right angles.
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  Question 12. What is the name for the point
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  where two sides of a shape meet? The answer is a vertex and the
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  plural is vertices. Triangles have 3 vertices,
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  squares have 4, and cubes have 8.
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  In 3D shapes, edges meet at vertices and faces are the flat
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  surfaces. Question 13 How many faces does
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  a cube have? The answer is six faces.
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  A cube also has 12 edges and eight vertices.
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  Every face of a cube is a square.
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  Question 14 Which 3D shape has one curved surface and no edges
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  or vertices? The answer is a sphere.
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  A sphere is perfectly round, like a ball, and every point on
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  the surface is the same distance from the center.
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  Unlike a cube or pyramid, it has no flat faces.
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  Question 15 What do we call 2 angles that add up to 90°?
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  The answer is complementary angles.
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  If one angle is 30° and the other is 60°, they're
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  complementary because they total 90.
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  If two angles add to 180°, they are called Supplementary
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  Question 16 On a coordinate grid, what do we call the point
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  where the X axis and Y axis X's cross?
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  The answer is the origin. The origin has coordinate 00.
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  The grid is split into 4 quadrants and each point has an
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  X value and AY value. Question 17 What do you call a
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  shape that can be flipped or mirrored onto itself across a
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  line? The answer is line symmetry,
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  also called reflection symmetry. The special line is called a
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  line of symmetry. A regular Pentagon has five
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  lines of symmetry and a square has four.
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  Question 18 What do we call a shape that repeats to cover a
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  flat surface with no gaps or overlaps?
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  The answer is a tessellation, also called a tiling.
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  Regular triangles, squares, and regular hexagons can tessellate
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  by themselves. Other shapes can tessellate when
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  arranged in a repeating pattern. Question 19 What type of
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  triangle has 1 angle equal to 90°?
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  The answer is a right triangle. The side across from the right
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  angle is called the hypotenuse and it is the longest side.
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  Right triangles are important in measurement, design, and
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  navigation. Question 20.
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  In a rectangle, what is the name of the segment that connects
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  opposite corners inside it? The answer is a diagonal.
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  A rectangle has two diagonals and they are the same length.
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  In a square. The diagonals also cross at
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  right angles. Question 21 Which 3D shape has
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  two circular bases and one curved surface connecting them?
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  The answer is a cylinder. A can is a clear example of a
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  cylinder. In real life, cylinders have no
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  edges on the curved surface because it is smooth.
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  Question 22. How many degrees are in a
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  straight angle? The answer is 180°.
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  A straight angle looks like a straight line.
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  It is the same as half of a full turn around a circle.
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  You're doing great. Time for the Super Challenge.
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  Listen closely and think it through.
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  Super challenge question. A triangle has sides 3 units and
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  four units that meet at a right angle.
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  What is the length of the side across from the right angle?
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  The answer is 5 units in a right triangle with legs 3 and 4.
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  The hypotenuse is 5 because 3 ^2 + 4 ^2 = 9 + 16, which is 25 and
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  sqrt 25 is 5. This special set of numbers is a
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  common example used to check right triangle side lengths.
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  That wraps up our journey through geometry.
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  You explored polygons, angles, circles, grids, and 3D shapes.
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  Keep noticing shapes in buildings, signs, sports fields,
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  and art and you will see math at work everywhere.
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  Thanks for learning today and see you next time on another
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  Curiosity field trip. Grab.
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  Your. Breakfast feelings, fine
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  adventures, waiting. Don't be late.
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  Today's. The day we.