MAFS.912.G-CO.3.11
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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 
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.3.11 - prove theorems about parallelograms; use theorems about parallelograms to solve problems.
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. Items may require students to sequence the steps of a construction, explain the steps of a construction or complete a viable geometric argument.
3. Theorems are restricted to opposite sides are congruent; opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals.
4. Items may ask students to classify a quadrilateral as a parallelogram based on given properties or measures or to prove a quadrilateral is a parallelogram.
5. Items can include narrative proofs, flow-chart proofs, two-column proofs, or informal proofs.
Example One
Example Two
Example Three
Example Four
In the figure below, is parallel to
.
Which of the following statements about the figure must be true?
Example Five
Figure ABCD is a rhombus. The length of is (x + 5) units, and the length of
is (2x - 3) units.
Which statement best explains why the equation x + 5 = 2x - 3 can be used to solve for x?
- All four sides of a rhombus are congruent.
- Opposite sides of a rhombus are parallel.
- Diagonals of a rhombus are perpendicular.
- Diagonals of a rhombus bisect each other.
Example Six
For his mathematics assignment, Armando must determine the conditions that will make quadrilateral ABCD, shown below, a parallelogram.
Given that the m∠ DAB = 40°, which of the following statements will guarantee that ABCD is a parallelogram?
- m∠ ADC + m∠ DCB + m∠ ABC + 40° = 360°.
- m∠ DCB = 40°; m∠ ABC = 140°
- m∠ ABC + 40° = 180°
- m∠ DCB = 40°
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.
