Answer:
Step-by-step explanation:
25.
Statement / Reason
AB ≅ CD / given (side)
<ABD ≅ <CDB /given (angle)
BD ≅BD / reflexive property (side)
ΔABD ≅ Δ CDB / SAS theorem of triangles congruency
26.
Statement / Reason
< P ≅ < T / Given (angle)
PR ≅TR / Given (side)
< PRQ ≅< TRS / Vertical angles are congruent (angle)
ΔQPR ≅ΔSTR / ASA theorem of triangles congruency
28.
Statement / Reason
AB ≅ ED / Given (side)
< A ≅ < D / Given (angle)
<ASB ≅ <DCE / Vertical angles are congruent (angle)
ΔABC ≅ΔDEC / SAA theorem of congruency
30.
Statement / Reason
PS ≅ QR / Given (side)
PQ ≅ SR / Given (side)
PR ≅ PR / Reflexive propriety (the line segment is congruent with itself) (side)
ΔPSR ≅ ΔPQR / SSS theorem of congruency
31.
Statement / Reason
< M ≅ < L / Given (angle)
MK ≅ LK / JN bisects ML is given and by definition a line segment bisector forms two congruent parts. (side)
<MKJ ≅ <LKN / vertical angles are congruent (angle)
ΔMJK ≅ΔLNK / ASA theorem of triangles congruence
