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

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?

1

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

1

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

Draggable item		Corresponding Item
The diagonals of a parallelogram bisect each other.		In quadrilateral EFGH with GH congruent to FE and EH congruent to FG, show EFGH is a parallelogram.
In a parallelogram, opposite sides are congruent.		In parallelogram EFGH, show GH is congruent to FE and EH congruent to FG.
A quadrilateral with opposite sides congruent is a parallelogram.		In quadrilateral EFGH with EK congruent to KG and FK congruent to KH, show EFGH is a parallelogram.
If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.		In parallelogram EFGH, show EK is congruent to KG and FK congruent to KH.

1

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

1

Select all true statements based on the diagram.

1

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

1

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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Illustrative Mathematics - Geometry - Unit 2 - Lesson 12

Illustrative Mathematics - Geometry - Unit 2 - Lesson 12

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?

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

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.

Select all true statements based on the diagram.

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 80o and 20o and side length 5. How do you know you have sketched all possibilities?

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?

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

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.

Select all true statements based on the diagram.

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 80o and 20o and side length 5. How do you know you have sketched all possibilities?

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?

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

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

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?

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

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