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Mathematical Proofs: Mastery Test
SUN
1. given
Julle's Proof
Statements
Reasons
1. m ABC = 90
2. m ABD 25
3. m ABD + m CBD = 909 3. angle addition postulate
4. 25+ m XCBD = 90°
4. substitution property of equality
5. m CBD = 65
5. subtraction property of equality
2. given
Samuel's Proof
Statements
Reasons
1. m CBD + 65
1. assumption
2. m ABC = 90°
2. given
3. m XABD + m CBD = 90° 3. angle addition postulate
4. m ABD + 65° 90°
4. substitution property of equality
5. m ABD 25
5. subtraction property of equality
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