Geometry All Around Us!
By Aala Nasir
Given the measurements above, can you find the measurement of angle x? Can you find the measurement of angle y? Answer: x=88 degrees
y=42 degrees, due to the Exterior Angle Theorem, which states that the sum of the measures of the remote interior angles will equal the measure of the exterior angle.
Given that the fences are parallel and that the one in the middle is the transversal, find the measurement of angle x. What type of angles is represented above?
Answer: 108 degrees; alternate interior angles (In order for two lines to be parallel, the measure of the alternate interior angles must be equal.)
Given the measurement above, find the measurement of angle x and y. What type of angles are represented above?
Answer: x=84 degrees; y=96 degrees; vertical angles (To solve this, first you would need to subtract 96 from 180 and the difference is 84. Remember, the measures of vertical angles are equal, therefore x=84 degrees and y=94 degrees)
Given the measurements of all three angles, list the sides in order from longest to shortest.
Answer: Line b, Line c, Line a (The larger angle will be opposite of the longest side and the smaller angle will be opposite of the shortest side.)
Find the sum of all the exterior angles in the polygon above.
Answer: 360 Degrees
What is represented on the ceiling of the building above?
Answer: Tessellation (using triangles.)
What type of lines do the signs above represent? (parallel, oblique, skew, perpendicular)
Answer: Skew lines! This is because the the signs are not intersecting, nor are they parallel.
In order to prove the triangles above congruent, what postulate would you use?
Answer: Side Angle Side Postulate. (SAS)
What is the sum of all the interior angles above? What is the measure of one interior angle?
Answer: 1080 degrees; 135 degrees
What type of triangle is shown above?
Answer: Obtuse, Isosceles