Using Triangle Congruence Theorems

Question 1

Which congruency theorem can be applied to prove that the triangles are congruent?

Revolt · Accepted Answer

SAS

Question 2

✔ FD and FGFD and FHEF and FG

Revolt · Accepted Answer

✔ FD and FG

Question 3

anglessides✔ vertices

Revolt · Accepted Answer

✔ vertices

Question 4

Use the drop-down menus to complete the additional steps needed to finish the congruent triangle construction.

Revolt · Accepted Answer

✔ CB = CA; 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.: CB = CA; Keeping the compass width the same, move the compass center to F and draw arcs to intersect segments .: FD and FG; The points where the arcs intersect the segments are the of the triangle. Construct segments to form the remaining sides of the triangle.: vertices

Question 5

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 6

Given: the compass and straightedge construction of angle bisector SP

Revolt · Accepted Answer

♣:: definition of angle bisector; ♦:: SAS

Question 7

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 8

Given: the compass and straightedge construction of angle bisector SP

Revolt · Accepted Answer

✔ definition of angle bisector; ♣:: definition of angle bisector; ♦:: SAS

Question 9

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.

Question 10

AASASA✔ SASSSS

Revolt · Accepted Answer

✔ SAS

Using Triangle Congruence Theorems Answers

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