Question

question 4 2 pts
∠r ≅ ∠u, ∠p ≅ ∠t and \overline{rp} ≅ \overline{ut}
sss
asa
sas
aas
hl
cannot be proven congruent
question 5 2 pts
\overline{rp} ≅ \overline{ut}, \overline{pq} ≅ \overline{ts} and \overline{qr} ≅ \overline{su}
sss
asa
sas
aas
hl
cannot be proven congruent

Explanation:

Question 4

Step1: Recall congruence criteria

• SSS (Side - Side - Side): Requires three pairs of congruent sides.
• ASA (Angle - Side - Angle): Requires two angles and the included side to be congruent.
• SAS (Side - Angle - Side): Requires two sides and the included angle to be congruent.
• AAS (Angle - Angle - Side): Requires two angles and a non - included side to be congruent.
• HL (Hypotenuse - Leg): For right - angled triangles.

Given \(\angle R\cong\angle U\), \(\angle P\cong\angle T\) and \(\overline{RP}\cong\overline{UT}\). Here we have two angles (\(\angle R\) and \(\angle P\), \(\angle U\) and \(\angle T\)) and a non - included side (\(\overline{RP}\) and \(\overline{UT}\)).

Question 5

Step1: Recall congruence criteria

Given \(\overline{RP}\cong\overline{UT}\), \(\overline{PQ}\cong\overline{TS}\) and \(\overline{QR}\cong\overline{SU}\). We have three pairs of congruent sides.

Answer:

Question 4: AAS
Question 5: SSS