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Grade 9 euclidean geometry summary (with acceptable reasons)

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Summary of the Grade 8 & 9 Euclidean Geometry rules with acceptable reasons. Including angles and rules as a result of parallel lines, triangles and other euclidean geometry rules.

Institution
9th Grade








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Uploaded on
January 8, 2026
Number of pages
3
Written in
2024/2025
Type
Summary

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Parallel Lines


If two lines intersect, the pair of If AB is parallel to CD, then the co-
opposite angles are equal. interior angles are supplementary.

corresponding ∠ s; AB || CD Co-int ∠ s; AB || CD


B

B
𝑥
A 180° − 𝑥
D A
D
𝑥
𝑥
C

C




B

If AB is parallel to CD, then the
alternate angles are equal. 𝑥
A
alt ∠ s ; AB || CD D
𝑥


C



Vertically opposite angles are equal. The adjacent angles on a
straight line are supplementary.
Vert opp ∠s equal
∠s on a str line


𝑥

𝑥
180° − 𝑥
𝑥
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