MAFS.912.G-CO.3.10
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Congruence, Similarity, Right Triangles & Trig - 46%
MAFS.912.G-
CO.1.1 Definitions
CO.1.2 Use Transformations
CO.1.5 Map Transformations
CO.2.6 Rigid Motions
CO.3.9 Line & L Theorems
CO.3.10 Triangle Theorems
CO.3.11 Parallelograms
CO.4.12 Constructions
SRT.1.1 Dilations
SRT.1.2 Def of Similarity
SRT.1.3 AA Similarity
SRT.2.5 ~ &
Criteria of s
SRT.3.8 Trig & Pyth Theorem
Circles, Geometric Measurement & Geometric Properties with Equations - 38%
MAFS.912.G-
C.1.1 Similar Circles
C.1.2 Chord-L Relationships
C.1.3 Inscribe/Circumscribe
C.2.5 Arcs, Angles, Sectors
GMD.1.1 Argue Formulas
GMD.1.3 Use Formulas
GMD.2.4 Identify Objects
GPE.1.1 Equation of a Circle
GPE.2.4 Use Coordinates
GPE.2.5 Use || and Slope
GPE.2.6 Segment Ratios
GPE.2.7 Coordinate Per/Area
Modeling with Geometry - 16%
MAFS.912.G-
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What You Need To Know...
MAFS.912.G-CO.3.10 - Prove theorems about triangles.
1. The benchmark will be assessed using Drag and Drop Response, Hot Text Response, Movable Text Response, Multi-select Response, Multiple choice Response, Open Response, or Selectable Text.
2. Theorems are restricted to: 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.
3. Items can include narrative proofs, flow-chart proofs, two-column proofs, or informal proofs.
4. Items may require students to give statements and/or justifications to complete formal and informal proofs.
Example One
Example Two
Example Three
Nancy wrote a proof about the figure shown below.
In the proof below, Nancy started with the fact that is a perpendicular bisector of
and proved that
WYZ is isosceles.
Which of the following correctly replaces the question mark in Nancy's proof?
- ASA
- SAA
- SAS
- SSS
Additional Examples
Reference Sheet
Select sample problems taken from FLDVIPN teacher materials
Violet Esopakis - Palm Beach Co.
Stephanie Fitzwater - Seminole Co.
Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
Jodi Van Wagoner - Brevard Co.