Illustrative Mathematics - Geometry - Unit 2 - Lesson 12 - Formative Library | Library

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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?

Corresponding angles are congruent when parallel lines are cut by a transversal.

Opposite angles in a parallelogram are congruent.

Vertical angles are congruent.

The base angles of an isosceles triangle are congruent.

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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.

Segment EB is congruent to segment AD.

Segment DC is congruent to segment AB.

Segment DA is congruent to segment CB.

Angle CBE is congruent to angle ABE.

Angle CEB is congruent to angle DEA.

Line DA is parallel to line CB.

Line DC is parallel to line AB.

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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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