Triangle Congruence: SSS and HL

Question 1

To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?

Revolt · Accepted Answer

C: DE ≅ DG

Question 2

For the triangles to be congruent by HL, what must be the value of x?

Revolt · Accepted Answer

A: 8

Question 3

What value of x will make triangles ABM and DCM congruent?

Revolt · Accepted Answer

C: 7

Question 4

What single transformation is required to map one of these congruent triangles onto the other?

Revolt · Accepted Answer

A: Reflection

Question 5

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?

Revolt · Accepted Answer

: AC and BD are perpendicular.; : AX and CX are congruent.

Question 6

Which transformation(s) can map ΔLMN onto ΔL'M'N'?

Revolt · Accepted Answer

C: rotation then translation

Question 7

The dotted line splits the parallelogram into two triangles. What is true about the congruency of the two triangles?

Revolt · Accepted Answer

B: The triangles can be proven congruent using SSS.

Question 8

Which transformation(s) could map one triangle to the other?

Revolt · Accepted Answer

D: rotation and translation

Question 9

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?

Revolt · Accepted Answer

C: ✔ AC and BD are perpendicular.

Question 10

BX and DX are congruent.✔ AX and CX are congruent.AC and BD are perpendicular.BD bisects angle ADC

Revolt · Accepted Answer

B: ✔ AX and CX are congruent.

Triangle Congruence: SSS and HL Answers