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(02.06 MC) What conclusion can be made for c and e?

(02.06 MC) What conclusion can be made for c and e?

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(01.03 MC) Ethan is using his compass and straightedge to c…

(01.03 MC) Ethan is using his compass and straightedge to complete construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?

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(02.03 MC) John translated parallelogram ABCD using the rul…

(02.03 MC) John translated parallelogram ABCD using the rule (x, y) → (x + 3, y − 2). If angle A is 110° and angle B is 70°, what is the degree measurement of angle A′?

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(03.01 LC) is dilated from the origin to create at D′ (0,…

(03.01 LC) is dilated from the origin to create at D′ (0, 3) and F′ (2.25, 1.5). What scale factor was dilated by?

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(02.03 LC) If ΔSTU ≅ ΔHIJ, then what corresponding parts are…

(02.03 LC) If ΔSTU ≅ ΔHIJ, then what corresponding parts are congruent?

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(02.04 HC) C is the circumcenter of isosceles triangle ABD…

(02.04 HC) C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent? It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. It is given that C is the circumcenter of triangle ABD, making segment BE a median. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property. Triangles ABE and DBE are congruent by HL.

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(01.06 MC) Solve for x.

(01.06 MC) Solve for x.

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(02.01 MC) Triangle PAT has been reflected over the x-axis….

(02.01 MC) Triangle PAT has been reflected over the x-axis. Which of the following best describes the relationship between the x-axis and the line connecting P to P′?

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(02.03 LC) If ΔABC ≅ ΔDEF, then what corresponding parts are…

(02.03 LC) If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?

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(02.06 MC) Look at the quadrilateral shown below: Melissa…

(02.06 MC) Look at the quadrilateral shown below: Melissa writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: Melissa’s proof For triangles AOB and COD, angle 1 is equal to angle 2, as they are vertical angles. AO = OC and BO = OD because it is given that diagonals bisect each other. The ________ are congruent by SAS postulate. Similarly, triangles AOD and COB are congruent. By CPCTC, AB is equal to DC. By CPCTC, AD is equal to BC. As the opposite sides are congruent, the quadrilateral ABCD is a parallelogram. Which is the missing phrase in Melissa’s proof?

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