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MAFS.912.G-SRT.2.5

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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-


In Your Text

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What You Need To Know...

MAFS.912.G-SRT.2.5 - Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

1. The benchmark will be assessed using Drag and Drop Response, Equation Response, Movable Text Response, Multiple Choice Response, Open Response, or Selectable Text Response.

2. Items may require students to use congruence criteria for triangles to solve problems or to prove relationships in geometric figures.

3. Items may require students to use similarity criteria for triangles to solve problems or to prove relationships in geometric figures.

4. Items may use geometric figures of any shape that can be deconstructed to form a triangle.

 

Example One

Example Two

Example Three

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Example Four

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Example Five

Example Six

Example Seven

Malik runs on the trails in the park.  He normally runs 1 complete lap around trail ABCD.  The length of each side of trail ABCD is shown in meters (m) in the diagram below.

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If trail EFGH is similar in shape to trail ABCD, what is the minimum distance, to the nearest whole meter, Malik would have to run to complete one lap around trail EFGH?

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CLICK HERE FOR SOLUTION

 

Example Eight

On the coordinate grid below, quadrilateral ABCD has vertices with integer coordinates.

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Quadrilateral QRST is similar to quadrilateral ABCD with point S located at (5, -1) and point T located at (-1, -1).  Which of the following could be possible coordinates for point Q?

  1. (6, -4)
  2. (7, -7)
  3. (-3, -7)
  4. (-2, -4)

CLICK HERE FOR SOLUTION

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Similar Triangles
Proportionality
Using Proof
Prove Algebraically
Proving Pythagorean Theorem
Missing Angle Measure
Solve Using Congruence
Solve Using Similarity
Congruence Proofs
Indirect Measure

Reference Sheet



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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.
Jeremy Lowery - Escambia Co.
Jodi Van Wagoner - Brevard Co.

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Jeremy Lowery - Escambia Co.

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