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Finding vertical and supplementary angles (Group Activities)
Resource:
Finding vertical and supplementary angles (Group Activities)

Geometry & Algebra II Archive

Geo U2: Proofs about Congruence

Big Idea: Big Idea 1

NOTES: 
1. This activity incorporates specific student roles for group work. 
2. There are two different sets of materials so that the same activity structure can be done twice.
Activity Objectives:
- To help students learn how to work together effectively.
- To help students see connections between vertical and supplementary angles in geometry.
- To help students see connections between algebra and geometry.

Preview ResourceAdd a Copy of Resource to my Google Drive
Type
Geometry: Proofs About Congruence
File
Google Doc
Tags
vertical, supplementary, angles, group work
Standards
Common Core: Major Standards ( G-CO.C.9 ) Common Core: Supporting Standards ( G…
+— Details
Common Core: Major Standards:
G-CO.C.9

Prove geometric theorems. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

Common Core: Supporting Standards:
G-CO.D.12

Make geometric constructions. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

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GeoGebra Slider AA Similar Triangles
Resource:
GeoGebra Slider AA Similar Triangles

Geometry & Algebra II Archive

Geo U3: Similarity and Proof

Big Idea: Big Idea 1

Slider that shows 2 similar triangles formed by parallel lines and 2 transversals.  The focus is on the vertical angles and the alternate interior angle pairs.

Open Resource
Type
Geometry: Similarity and Proof
File
External Link
Tags
angle, vertical, alternate interior, similar, triangle
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GeoGebra Slider for Supplementary & Vertical Angle Relationships
Resource:
GeoGebra Slider for Supplementary & Vertical Angle Relationships

Geometry & Algebra II Archive

Geo U2: Proofs about Congruence

Big Idea: Big Idea 1

Slider that represents intersecting lines to help visualize supplementary and vertical angle relationships.  This can also be used to represent the 360 degrees of a circle.

Open Resource
Type
Geometry: Proofs About Congruence
File
External Link
Tags
vertical, supplementary, angles
Standards
Common Core: Major Standards ( G-CO.C.9 ) Common Core: Supporting Standards ( G…
+— Details
Common Core: Major Standards:
G-CO.C.9

Prove geometric theorems. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

Common Core: Supporting Standards:
G-CO.D.12

Make geometric constructions. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

All Resources From:
GeoGebra Slider that represents parallel lines cut by a transversal
Resource:
GeoGebra Slider that represents parallel lines cut by a transversal

Geometry & Algebra II Archive

Geo U2: Proofs about Congruence

Big Idea: Big Idea 1

Slider that allows the intersections to move location.  Helps with visualization of the angle relationships when parallel lines are cut by a transversal.

Open Resource
Type
Geometry: Proofs About Congruence
File
External Link
Tags
angles, vertical, supplementary, alternate interior, alternate exterior, same side interior, same side exterior, corresponding
Standards
Common Core: Major Standards ( G-CO.C.9 ) Common Core: Supporting Standards ( G…
+— Details
Common Core: Major Standards:
G-CO.C.9

Prove geometric theorems. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

Common Core: Supporting Standards:
G-CO.D.12

Make geometric constructions. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

All Resources From: