Are these triangles congruent? Write the congruence theorem.
SSS
Find side PQ and SR
Side PQ= 5
Side SR= 6
Find side FG of rectangle EFGH
23
Are these triangles congruent? Write the congruence theorem.
HL (hypotenuse leg)
∆PQZ≅∆TRS
Find side AC and AD
AC= 10
AD= 4
Find angles BDC and ADC
Angle BDC= 60 degrees
Angle ADC= 125 degrees
Are these triangles congruent? Write the congruence theorem.
SAS
∆XWY≅∆YZX
Solve for p and q
p= 1
q= 4
Prove triangle MOK is congruent to TOK
OK bisects angle MOT Given
OM≅OT Given
∠MOK≅∠TOK Definition of angle bisector
OK≅OK Reflexive property
△MOK≅TOK SAS congruence
Square CDEF
What is the area?
625 ft2
Are these triangles congruent? Write the congruence theorem.
SSS
∆ABC≅∆DEC
Find side AD
Prove side YA is congruent to side ZA
BA ⊥ YZ Given
BA bisects ∠YBZ Given
∠YAB≅∠ZAB Definition of ⊥ lines
∠YBA≅∠ZBA Definition of angle bisector
△BYA≅BZA ASA congruence
Find angle URS
110 degrees
Are these triangles congruent? Write the congruence theorem.
No, they're not congruent
∆ABC≅∆DEC
Find side AB
AB= 6
Prove angle PQR is congruent to angle STR
QT bisects PS Given
∠QPR≅∠TSR Given
PR≅ RS Definition of segment bisector
∠QRP≅∠TRS Definition of vertical angles
△PQR≅STR ASA congruence
∠PQR≅∠STR CPCTC
Find the area of parallelogram ABCD
54