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Illustrative Mathematics - Geometry - Unit 2 - Lesson 12

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Last updated 2 months ago
7 Questions
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?

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2.

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

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3.

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

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

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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?

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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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