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Lesson 12 - Unit 2 - Geometry - Illustrative Mathematics

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Lin is using the diagram to prove the statement, “If a parallelogram has one right angle, it is a rectangle.”

Given that EFGH is a parallelogram and angle HEF is right, which reasoning about angles will help her prove that angle FGH is also a right angle?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

ABDE is an isosceles trapezoid.

 Select all pairs of congruent triangles.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Match each conjecture with the rephrased statement of proof connected to the diagram.

Draggable itemarrow_right_altCorresponding Item

If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

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In quadrilateral EFGH with GH congruent to FE and EH congruent to FG, show EFGH is a parallelogram.

A quadrilateral with opposite sides congruent is a parallelogram.

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In parallelogram EFGH, show GH is congruent to FE and EH congruent to FG.

The diagonals of a parallelogram bisect each other.

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In quadrilateral EFGH with EK congruent to KG and FK congruent to KH, show EFGH is a parallelogram.

In a parallelogram, opposite sides are congruent.

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In parallelogram EFGH, show EK is congruent to KG and FK congruent to KH.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Which of the following criteria always proves triangles congruent? Select all that apply.

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5.

Select all true statements based on the diagram.

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6.

Diego states that diagonal WY bisects angles ZWX and ZYX. Is he correct?

Explain your reasoning.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Sketch the unique triangles that can be made with angle measures 80o and 20o and side length 5. How do you know you have sketched all possibilities?

This lesson is from Illustrative Mathematics. Geometry, Unit 2, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/2/12/index.html ; accessed 29/July/2021.

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