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Lesson 12 - Unit 2 - Geometry - Illustrative Mathematics

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Last updated about 3 years ago
7 questions
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Question 1
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?

Question 2
2.

Question 3
3.

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

Draggable itemarrow_right_altCorresponding Item
In a parallelogram, opposite sides are congruent.
arrow_right_alt
In quadrilateral EFGH with GH congruent to FE and EH congruent to FG, show EFGH is a parallelogram.
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 4
4.

Question 5
5.

Question 6
6.

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

Question 7
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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The base angles of an isosceles triangle are congruent.
ABDE is an isosceles trapezoid.
 Select all pairs of congruent triangles.
Triangle ABE and triangle DBE
Triangle ABD and triangle DAE
Triangle ABE and triangle BAD
Triangle ABE and triangle DBE
Triangle AED and triangle BDE
Triangle EAB and triangle EDB
If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
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.
The diagonals of a parallelogram bisect each other.
In parallelogram EFGH, show EK is congruent to KG and FK congruent to KH.
Which of the following criteria always proves triangles congruent? Select all that apply.
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
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.