Triangle Congruence: SSS and HL Assignment and Quiz with Verified
Answers Rated A
Triangle DEF and triangle DGF are shown in the
diagram.
Which pair of sides are congruent based on the
definition of isosceles triangles? - ANSWER -
To prove that ΔDEF ≅ ΔDGF by SSS, what AM and CM
additional information is needed? - ANSWER -
DE ≅ DG BM and BM
AB and CB
In the diagram, BC ≅ EF and ∠A and ∠D are right
angles.
The triangles are congruent by the SSS congruence
theorem.
For the triangles to be congruent by HL, what must
be the value of x? - ANSWER -8
Which transformation(s) can map ΔLMN onto
ΔL'M'N'? - ANSWER -rotation then translation
M is the midpoint of AD.
The four-sided geometric figure pictured is called a
parallelogram. One feature of parallelograms is that
What value of x will make triangles ABM and DCM opposite sides have equal lengths.
congruent? - ANSWER -7
M is the midpoint of AD. The dotted line splits the parallelogram into two
triangles. What is true about the congruency of the
two triangles? - ANSWER -The triangles can be
proven congruent using SSS.
What single transformation is required to map one of
these congruent triangles onto the other? -
ANSWER -reflection The two triangles created by the diagonal of the
parallelogram are congruent. Recall that the opposite
sides of a parallelogram are congruent.
Isosceles triangle ABC is folded along BM with M
chosen in such a way that it is the midpoint of side
AC, the shortest side.
Which transformation(s) could map one triangle to the
other? - ANSWER -rotation and translation
Which pair of sides are congruent based on the
definition of midpoint? AB ≅ BC and AD ≅ CD
Which pair of sides are congruent based on the What additional information would make it
reflexive property? immediately possible to prove that triangles AXB and
CXB are congruent using the HL theorem?
1/2
Answers Rated A
Triangle DEF and triangle DGF are shown in the
diagram.
Which pair of sides are congruent based on the
definition of isosceles triangles? - ANSWER -
To prove that ΔDEF ≅ ΔDGF by SSS, what AM and CM
additional information is needed? - ANSWER -
DE ≅ DG BM and BM
AB and CB
In the diagram, BC ≅ EF and ∠A and ∠D are right
angles.
The triangles are congruent by the SSS congruence
theorem.
For the triangles to be congruent by HL, what must
be the value of x? - ANSWER -8
Which transformation(s) can map ΔLMN onto
ΔL'M'N'? - ANSWER -rotation then translation
M is the midpoint of AD.
The four-sided geometric figure pictured is called a
parallelogram. One feature of parallelograms is that
What value of x will make triangles ABM and DCM opposite sides have equal lengths.
congruent? - ANSWER -7
M is the midpoint of AD. The dotted line splits the parallelogram into two
triangles. What is true about the congruency of the
two triangles? - ANSWER -The triangles can be
proven congruent using SSS.
What single transformation is required to map one of
these congruent triangles onto the other? -
ANSWER -reflection The two triangles created by the diagonal of the
parallelogram are congruent. Recall that the opposite
sides of a parallelogram are congruent.
Isosceles triangle ABC is folded along BM with M
chosen in such a way that it is the midpoint of side
AC, the shortest side.
Which transformation(s) could map one triangle to the
other? - ANSWER -rotation and translation
Which pair of sides are congruent based on the
definition of midpoint? AB ≅ BC and AD ≅ CD
Which pair of sides are congruent based on the What additional information would make it
reflexive property? immediately possible to prove that triangles AXB and
CXB are congruent using the HL theorem?
1/2
