In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Show that ABCD is a parallelogram.
In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Show that ABCD is a parallelogram.
Conjecture: A quadrilateral with one pair of sides both congruent and parallel is a parallelogram.
Draw a diagram of the situation.
Mark the given information.
Restate the conjecture as a specific statement using the diagram.
In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Show that ABCD is a parallelogram.
ABDE is an isosceles trapezoid. Name one pair of congruent triangles that could be used to show that the diagonals of an isosceles trapezoid are congruent.
Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
Is triangle EJH congruent to triangle EIH?
Explain your reasoning.
Select all true statements based on the diagram.
Which conjecture is possible to prove?
This lesson is from Illustrative Mathematics. Geometry, Unit 2, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/2/13/index.html ; accessed 29/July/2021.
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