Using Triangle Congruence Theorems

Question 1

Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee that ΔXYZ ≅ ΔABC? Check all that apply.constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZXconstructing ΔABC so that AB ≅ XY, BC ≅ YZ, and ∠C ≅ ∠Zconstructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠Xconstructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Zconstructing ΔABC so that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

Revolt · Accepted Answer

constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX; constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X; constructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

Question 2

Question 2

Revolt · Accepted Answer

FD and FG

Question 3

Question 3

Revolt · Accepted Answer

vertices

Question 4

Which are possible next steps? Check all that apply.

Revolt · Accepted Answer

Place the compass center on P and adjust the radius of the compass to the length of PQ.; Place the compass center on P and draw an arc that intersects PQ and PR.

Question 5

Use the drop-down menus to complete the additional steps needed to finish the congruent triangle construction. Place the compass center at C and set the radius to the length of CB. Because , he needs to set the compass radius only once. Keeping the compass width the same, move the compass center to F and draw arcs to intersect segments . The points where the arcs intersect the segments are the of the triangle. Construct segments to form the remaining sides of the triangle.

Revolt · Accepted Answer

CB = CA; Selection 1: CB = CA; Selection 2: FD and FG; Selection 3: vertices

Question 6

What is the next step in the construction?

Revolt · Accepted Answer

Place the compass center on G and adjust the radius to the length of GF.

Using Triangle Congruence Theorems Answers

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