Skills Practice Workbook - Glencoe
Skills Practice Workbook - Glencoe
Skills Practice Workbook - Glencoe
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15–5<br />
Two-Column Proofs<br />
Write a two-column proof.<br />
<strong>Skills</strong> <strong>Practice</strong><br />
1. Given: �ITC is an isosceles triangle with base<br />
I�C�, TS �� bisects �ITC<br />
Prove: I�S� � C�S�<br />
Proof:<br />
Statements Sample Answer: Reasons<br />
a. �ITC is an isosceles triangle a. Given<br />
with base I�C�.<br />
b. TS �� bisects �ITC b. Given<br />
c. I�T� � C�T� c. Definition of isosceles triangle<br />
d. �ITS � �CTS d. Definition of angle bisector<br />
e. S�T� � S�T� e. Reflexive Property<br />
f. �ITS � �CTS f. SAS<br />
g. I�S� � C�S� g. CPCTC<br />
2. Given: ABCD is a square.<br />
Prove: A�C� � B�D�<br />
Proof:<br />
NAME DATE PERIOD<br />
Statements Sample Answer: Reasons<br />
a. ABCD is a square. a. Given<br />
b. A�D� � B�C� b. Definition of a square<br />
c. �ADC and �BCD are right c. Definition of a square<br />
angles.<br />
d. �ADC � �BCD d. Definition of congruent angles<br />
e. D�C� � D�C� e. Reflexive Property<br />
f. ΔADC � ΔBCD f. SAS<br />
g. A�C� � B�D� g. CPCTC<br />
© <strong>Glencoe</strong>/McGraw-Hill 89 Geometry: Concepts and Applications<br />
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D<br />
T<br />
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A B<br />
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