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

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

Question 2

Which are possible next steps? Check all that apply.

Revolt · Accepted Answer

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

Question 3

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

B: CB = CA

Question 4

What is the next step in the construction?

Revolt · Accepted Answer

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

Question 5

Question 5

Revolt · Accepted Answer

A: FD and FG

Question 6

Question 6

Revolt · Accepted Answer

C: vertices

Using Triangle Congruence Theorems Answers

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