LTCC Math 153 - Geometry

Study Guide for Sections 3.5 through 4.3

 There are no pictures for this study guide at the moment,
but the descriptions in the givens should be good enough
to create the drawing for each proof.

Answers for this Study Guide
 

Gradebook Program - Current Grades Posted

Proof #1

 Given: Triangle ABC with D as the midpoint of side AB and
CD as perpendicular to side AB.
Prove: Triangle ADC is congruent to triangle BDC


Proof #2

 Given: Triangle ABC with D as the midpoint of side AB.
Prove: Angle AD = BD



Proof #3

Given: Triangle ABC with D as the midpoint of side AB and
CD as perpendicular to side AB.
Prove: Triangle ABC is an isosceles triangle.



Proof #4

Given: Ray MN is perpendicular to ray MO and
ray MX bisects angle NMO.
Prove: Angle XMO is 45 degrees.



Proof #5

Given: Angle HKA and angle RKA are a linear pair and
the measure of angle HKA = the measure of angle RKA.
Prove: Line HR is perpendicular to line KA.



Proof #6

Given: Line GN intersects with line KI at point M.
Angle NMI is a vertical angle with angle KMG.
Angle NMI and angle KMG are supplementary.
Prove: Line GN is perpendicular to line KI.



Proof #7

Given: Line GN intersects with line KI at point M.
Angle NMI is a vertical angle with angle KMG.
M is the midpoint of line segment GN.
There is a line segment GI which is perpendicular to line GN.
There is a line segment KN which is perpendicular to line GN.
Prove: Triangle GMI is congruent to triangle NMK.


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Janine Bouyssounouse - e-mail:[email protected]


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