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IM Geo.2.12 Practice: Proofs about Quadrilaterals

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2 , IM 6 – 8 Math

Lin is using the diagram to prove the statement, “If a parallelogram has one right angle, it is a rectangle.” Given that  is a parallelogram and angle  is right, which reasoning about angles will help her prove that angle  is also a right angle?

Select all that apply
  • A
  • B
  • C
  • D
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is an isosceles trapezoid. Select all pairs of congruent triangles.

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  • A
  • B
  • C
  • D
  • E
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Match each conjecture with the rephrased statement of proof connected to the diagram.

Which of the following criteria always proves triangles congruent?

Select all that apply.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
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Here is a diagram

Select all true statements based on the diagram.

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  • A
  • B
  • C
  • D
  • E
  • F
  • G
Check my answer (3)

Diego states that diagonal WY bisects angles ZWX and ZYX.

Is he correct? Explain your reasoning.

Sketch the unique triangles that can be made with angle measures 80° and 20° and side length 5.

How do you know you have sketched all possibilities?

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