Intro to Geometry

*LESSON WAS WRITTEN BY FOR PATH2TJ APPROVED USE ONLY*

 

 

Basic Geometry Concepts:

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Watch these videos/work through these courses to come to a better understanding of geometry material you should know for the Quant Q exam:

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https://www.mathsisfun.com/geometry/

https://www.khanacademy.org/math/basic-geo

https://www.mathsisfun.com/algebra/trigonometry.html

https://www.ixl.com/math/geometry/distance-formula

https://www.mathhelp.com/geometryhelp/utm_campaign=purplemath&utm_source=_mh_geom&utm_medium=course

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Practice worksheets:

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http://www.math.com/practice/Geometry.html

https://www.studyguidezone.com/geometry-help.html

https://brilliant.org/geometry/ (Consider making an account and working through some of the problems on this site)

https://www.testprepreview.com/modules/geometry.html

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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?

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a) 114

b) 108

c) 144

d) 93

e) 100

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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

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3) Three points of a parallelogram are located at (3, 5), (2, -7), (1, 6). How many places can the fourth point be?

 

a) 0

b) 1

c) 2

d) 3

e) 4

 

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.

 

a) 10.25

b) 9.49

c) 9.50

d) 11.40

e) 8.00

 

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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

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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?

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a) 1

b) 2

c) 3

d) 4

e) 5

 

8) QR is parallel to ST. What is the length of PR?

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a) 5

b) 7.5

c) 8

d) 2.4

e) 6 

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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:

 

a) Increases

b) Decreases

c) Cannot be predicted

d) Fluctuates near some known value

e) Remains constant

 

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Answer Key:

 

1) A

2) C

3) D

4) B

5) D

6) B

7) D

8) E

9) E