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MAFS.912.G-CO.3.10

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Congruence, Similarity, Right Triangles & Trig - 46%

MAFS.912.G-


Circles, Geometric Measurement & Geometric Properties with Equations - 38%

MAFS.912.G-


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

CO3 10 Ex2
                  Click For Solution 

Example Three

Nancy wrote a proof about the figure shown below.

4-6

In the proof below, Nancy started with the fact that XZ is a perpendicular bisector of WY and proved that  Triangle Marking WYZ is isosceles.

4-6B

Which of the following correctly replaces the question mark in Nancy's proof?

  1. ASA
  2. SAA
  3. SAS
  4. SSS

 

Click for Solution

Additional Examples

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Triangle Midsegment
Congruence of Medians

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