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Intro to Geometry
*LESSON WAS WRITTEN BY FOR PATH2TJ APPROVED USE ONLY*
Basic Geometry Concepts:
Watch these videos/work through these courses to come to a better understanding of geometry material you should know for the Quant Q exam:
https://brilliant.org/geometry/ (Consider making an account and working through some of the problems on this site)
Practice Problems - Diagrams are not necessarily drawn to scale:
1) A few questions are borrowed from https://www.mathopolis.com/questions/skills.php?year=G
If you score low on this practice set or would like to practice high school level geometry, check this link out! 1) What is the fifth interior angle of this polygon?
2) Bob has to plant corn on his new plot of land. Unfortunately, Bob only has $365 with which to buy fencing. Each meter of fencing costs 6 dollars, and assume Bob can only buy a whole number of meters of fencing. How many square meters will Bob have for planting his corn?
a) 60 m^2
b) 200 m^2
c) 225 m^2
d) 360 m^2
e) 450 m^2
3) Three points of a parallelogram are located at (3, 5), (2, -7), (1, 6). How many places can the fourth point be?
4) AB and CD are chords of a circle (center O) that intersect at a point P inside the circle. Calculate the value of x correct to 2 decimal places.
5) Does the diagram show a regular hexagon ABCDEF with center O. What is the area of the hexagon?
a) 18 u^2
b) 24 u^2
c) 27 u^2
d) 23.4 u^2
e) 25.1 u^2
6) Which of the following statements is/are false? I. A rectangle is a parallelogram. II. A kite is a square. III. A rhombus is a kite. IV. A trapezoid is a parallelogram. a) I and II b) II and IV c) IV only d) III and IV e) II only 7) How many whole number pairs of side lengths can Sally use to draw a rectangle with an area of 24?
8) QR is parallel to ST. What is the length of PR?
9) (Challenge problem - 1950 AHSME) As the number of sides of a polygon increase from to, the sum of the exterior angles formed by extending each side in succession:
c) Cannot be predicted
d) Fluctuates near some known value
e) Remains constant