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.
Questions 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
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| Triangle ABC with D as the midpoint of side AB and CD as perpendicular to side AB. | Given |
| Angle CDA & angleBDC are right angles | Perpendicular lines form right angles |
| The measure of angle CDA = the measure of angleBDC | Right angles are equal |
| AD = BD | A midpoint divides a line segment into two equal line segments. |
| CD = CD | Reflexive |
| Therefore, triangle ADC is congruent to triangle BDC. | SAS |
Given: Triangle ABC with D as the midpoint of side AB.
Prove: Angle AD = BD
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.
Given: Ray MN is perpendicular to ray MO and
ray MX bisects angle NMO.
Prove: Angle XMO is 45 degrees.
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.
Given: Line GN intersects with line KI at point M.
Angle NMI is a vertical angle with angle KMI.
Angle NMI and angle KMI are supplementary.
Prove: Line GN is perpendicular to line KI.
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.
Page Last Updated 07/23/01