Right Triangle Similarity

Question 1

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.

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

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.

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 7

Jack began constructing ΔDEF to be congruent to ΔABC by copying side AC to form DF. Could Jack use ASA to complete the construction? If so, which two angles should he copy?

Revolt · Accepted Answer

Yes, he should copy ∠A and ∠C.

Right Triangle Similarity Answers

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