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IM Geo.2.12 Practice: Proofs about Quadrilaterals

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?

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is an isosceles trapezoid. Select all pairs of congruent triangles.

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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.

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Here is a diagram

Select all true statements based on the diagram.

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  • F
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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?