Zack F.

Geometry Proofs

1. The ratio of the volume of a pyramid to the volume of a prism with the same base and height is _____
Because the formula for the volume of a prism is V=Bh , where B is the area of the base and h is the height, the formula for the volume of a pyramid is _____

(possible answers)     3 to 4    1 to 3    1 to 2    1 to 1    V=3/4Bh    V=1/3Bh    V=1/2Bh   V=Bh

2. Given: Quadrilateral DEFG is inscribed in circle P.

Prove: m∠G+m∠E=180∘

https://i.gyazo.com/3c8d1b810d766d6c6fce10dbe4f80aa4.png

It is given that quadrilateral DEFG is inscribed in circle P. Because a circle measures 360°, (arc)mDEF+(arc)mFGD=360∘ . By the _____ , 1/2(arc)mDEF+1/2(arc)mFGD=180∘ . By the inscribed angles theorem, _____ = 1/2(arc)mFGF and _____ = 1/2m(arc)DEF. This means m∠G+m∠E=180∘ by the _____

(possible answers)     m∠D    m∠E    m∠F    m∠G    addition property of equality    multiplication property of equality    transitive property of equality    substitution property of equality

m
m
m
m

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