Next O Pretest: Foundations of Geometry
A student is given ZQUS ZRUTand the diagram and asked to prove m/ZQOR = 56.
Given: ZQOS ROT
Prove: m/QOR= 56°
20
Se
56
Here is the student's proof.
1. given
2. m/QOS= m/ROT
definition of
congruence
Where is the first error or skipped step in this proof?
The reason for statement
is not correct
3. m2QOR+mZROS
=mZTOS +mZROS
angle addition
4. m2QOR=mZTOS
subtraction
property of
congruence
5. m/TOS = 56°
given
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6. m2QOR = 56°
subtraction
property of
equality