Angles
Polygons
Tiling
Transversal line
theorems
100
What are benchmark angles and why are they useful?
Benchmark angles are angles that are easy to use, roundup and easy to estimate to help you solve larger problems. These angles are usually factors of 360°, like 90°, 30°, 120°.
Answer: What is easy to use and estimate angles for comparison.
100
What is a polygon? (List at least two properties)
A polygon is a closed, 2D shape. The amount of angles on a polygon is congruent to the amount of angles. A polygon must have at least three angles and sides. The sides on a polygon cannot cross. Polygons cannot have curves.
Answer: what is (any two properties)
100
What is tiling?
Tiling is when you can cover a surface completely with one or more shapes.
Answer: What is - to cover an entire space with plane shapes.
100
What is a transversal?
A transversal is another line that crosses a set of parallel lines.
Answer: What is a line that crosses two parallel lines.
100
What is the Triangle inequality theorem?
The triangle inequality theorem is a rule that any two sides of any triangle MUST be longer than the third, otherwise the side lengths will not form a triangle.
Answer: What is 2 sides must be longer than the third (Or something close to that).
200
What strategies can be used to measure and estimate angles?
Some strategies to measure angles are by using a protractor, or if your estimating, using benchmark angles, or comparing two angles side by side.
Answers: What is Protractor, What is estimation, What is benchmark angles, What is comparing.
200
Why are triangles used more than other quadrilaterals in structures?
Triangles are used more than any other shape in buildings because they are more stable, with only three hinges, not being able to bend over or collapse. For example, if you used squares, they could fold and bend into a parallelogram. The weight is more distributed across the shapes angles.
Answer: What is the weight is more distributed.
200
when can you tile?
The polygons that you can tile are when all of their angles are factors of 360°.
Answer: What is when the angles of a shape are factors of 360°.
200
Which four angles are corresponding angles?
the angles that are the same angle on both lines.
Answer: What is 1 & 5 2 & 6 3 & 7 4 & 8
200
What is the Pythagorean theorem?
The Pythagorean theorem is a way to find out the longest angle in any RIGHT triangle. The longest angle is always the side that does not make up the 90° angle (Side b). To find this, you must know that a2 + c2 = b2 (Two shorter sides squared and added up equal the third longer side squared). For example, if side (a) is 3' long and side (c) is 2' long, to find out side (b), you would do: a2 = 9 c2 = 4
4 + 9 = 13. This means that 13 is b2 from here, you can find the square root of 13 with any strategy, and most likely round to the nearest 100th. So in this case, b would be about 3.61'.
Answer: What is (definition of Pythagorean theorem)
300
Where are angles found in real life?
You can find angles everywhere! Whenever two faces/sides meet (That are straight) it's an angle.
Answers: What is (Angle example) or What is when two faces meet.
300
List all types of triangles.
Answer: What is Isosceles triangle, right triangle, scalene triangle, obtuse triangle, acute triangle.
300
Where can you find tiling in real life?
Tiling patterns can be found on floors, walls roofs, etc. Usually for stylish floors. For example the typical white and black tiled bathroom floor.
Answer: What is (reasonable answer)
300
What do you call angles 7 & 2?
7 & 2 are alternate exterior angles. They are exterior angles that are alternate.
Answer: What is alternate exterior
300
Can you make a triangle with the angles 3, 8, 10?
Yes because:
3 + 8 > 10
8 + 10 > 3
10 + 3 > 8
Answer: What is yes
400
How is the number of sides of a polygon related to the sum of the interior angles?
The number of sides on a polygon is related to the sum of the interior angles because for every side you add to a polygon, starting at a triangle whose angle sum is 180° you increase the angle sum by 180°. For example: triangle = 180°. square = 360°. Pentagon = 540°.
Answer: "What is" Every additional side, add 180° to the angle sum.
400
What is a regular polygon?
A regular polygon is a shape that all sides and angles on it are congruent. For example, a square, because all angles are 90° and all side lengths are the same.
Answer: What is a shape with all sides and angles the same.
400
What is another word for tiling?
another word is tessellation.
Answer: What is tessellation
400
Find the measure of angle x.
The supplement of 55° is 125°, which is the angle above the 55°. Now that you know this angle, you should know that x congruent to that 125°. This is an Interior alternate.
Answer: What is 125°
400
Using the Pythagorean theorem, find the length of side x.
42 = 16
32 = 9
9 + 16 = 25.
x = 253
52 = 25
x = 5
Answer: What is 5
500
How are interior and exterior angles related?
Exterior angles are related to interior angles because they add up to 180°, which means Exterior angles are interior angles supplements.
Answer: what is supplementary
500
What do all the exterior angles on a polygon add up to?
the exterior angles on any polygon always add up to 360° because if you trace their steps, their creating a full rotation.
Answer: What is 360°
500
Can you tile a regular hexagon?
yes you can, because the individual angles of a regular hexagon equal 120°
Answer: What is yes
500
What do you call and 4 & 6?
Angles 4 & 6 are called consecutive interior. They are Interior angles that are, well, consecutive.
Answer: what is consecutive interior
500
Will the triangle inequality theorem also work for a quadrilateral?
Yes it will work for quadrilaterals, but this time, the rule is any THREE angles added up have to be greater than the fourth angle.
Answer: What is yes