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Name ____________________________________________ Date_______________ Introduction to Geometry Basics of Geometry – Part 2 Independent Practice 1. Consider the diagram below with parallel planes 𝓓 and 𝓝.

For each statement written below, determine whether the statement is true or false. Statement True or False? 𝑭𝑨 is a line, line segment, and a ray. o True o False

Lines 𝒓 and 𝒔 are perpendicular. o True o False

𝑹𝑶))))))⃗ and 𝑪𝑨)))))⃗ form an angle. o True o False

𝑴 and 𝑪 are collinear and coplanar. o True o False

𝑭, 𝑶, and 𝑹 are coplanar in 𝓓. o True o False

𝑴𝑪))))))⃗ and 𝑪𝑨)))))⃗ form a 𝟗𝟎° angle. o True o False

Using the Segment Addition Postulate, 𝑭𝑶 + 𝑶𝑪 = 𝑭𝑨. o True o False

𝑨𝑭)⃖)))⃗ intersects both 𝓓 and 𝓝 perpendicularly. o True o False

𝐹 𝑂 𝐶 𝐴

𝒟 𝒩

𝑅 𝑀

𝑟 𝑠

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2. Complete the following statements with a word or phrase and draw a representation under each statement. Ø Through any ______________ non-collinear points there is exactly one plane.

Ø If two points lie in a plane, then ____________________________________________ _____________________________________________________.

Ø If two planes intersect, they intersect in exactly one ______________.

Ø Given _______________________________________________, there is one, and only one, line perpendicular to the plane through that point.

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3. Sketch a plane containing points 𝐸,𝐷, and 𝐵; where 𝐸 and 𝐵 are collinear with 𝐴, and 𝐷 is a vertex where 𝐶𝐷)))))⃗ and 𝐹𝐷)))))⃗ meet.

4. Compare and contrast the following diagrams by creating a list of at least five complete sentences.

𝐶

𝑙

𝒵

𝑋

𝑌

𝒜

𝐻𝐺

𝒮

𝑟

𝑘