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Classifying Triangles based on angle measures
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Classifying Triangles based on angle measures

Geometry & Algebra II Archive

Geo U2: Proofs about Congruence

Big Idea: Big Idea 2

Students solve for missing interior angles in triangles.  Triangles are on individual cards.  Students determine appropriate "angle" and "side" terms (acute, obtuse, right, scalene, isosceles, equilateral) and place the triangle cards into the table.  Opportunity to address why certain descriptions are impossible (such as an equilateral right triangle) and why it's impossible to have a triangle with more than 1 obtuse angle.

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Type
Geometry: Proofs About Congruence
File
Google Doc
Tags
acute, obtuse, right, scalene, isosceles, equilateral, triangle
Standards
Common Core: Major Standards ( G-CO.C.10 ) Common Core: Supporting Standards ( …
+— Details
Common Core: Major Standards:
G-CO.C.10

Prove geometric theorems. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Clarification: Theorems include but are not limited to the listed theorems. Example: an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle

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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Isosceles Triangles
Resource:
Isosceles Triangles

Geometry & Algebra II Archive

Geo U2: Proofs about Congruence

Big Idea: Big Idea 3

Students use triangle congruence proofs to show that two angles are congruent.

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Type
Geometry: Proofs About Congruence
File
Google Doc
Tags
congruent triangles, isosceles, instructional routine
Standards
Common Core: Major Standards ( G-CO.B.7, G-CO.C.10 )
+— Details
Common Core: Major Standards:
G-CO.B.7

Understand congruence in terms of rigid motions. Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

G-CO.C.10

Prove geometric theorems. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Clarification: Theorems include but are not limited to the listed theorems. Example: an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle

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