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Type: Multiple-Choice
Category: Points, Lines, and Planes
Level: Grade 10
Standards: HSG-CO.C.9
Author: nsharp1
Created: 6 years ago

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Points, Lines, and Planes Question

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In the diagram given, lines

$k$ and

$m$ are parallel, and line

$t$ is a transversal. Let point

$A$ be the intersection of lines

$k$ and

$t$ , and point

$B$ be the intersection of lines

$m$ and

$t$ (points not labeled in the diagram). Also, let

$h$ be the line parallel to lines

$k$ and

$m$ which is equidistant from these two lines (not pictured).

Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

What is the reason we can conclude, including the information from parts A - C, that

$m ang 1 = m ang 5,$ (and therefore, that

$ang1 ~= ang 5$ by the definition of congruent angles).

Substitution Property of Equality.
Congruent Supplements Theorem.
Rigid transformations preserve angle measure.
Given by the diagram.