Question

State what additional information is required in order to know that the triangles are congruent for the reason given


i don’t understand how to do theorem stuff if the triangles are stuck together :/ can someone pls explain i’ve been trying to figure it out for like 10 minutes

Answer 1

Explanation:-

⟨1⟩

Solution:

In ∆RQS and ∆DQS, we have

• RQ = SD [Given]
• RS = QD [Given]
• QS = QS [Common side]

∴ ∆RPQ =~ ∆DQS [By SSS congruence rule]

⟨2⟩

Solution:

In ∆UVW and ∆KMV, we have

• VW = VM [Given]
• ∠UVW = ∠KMW [vert. opp ∠s]
• VW = VK [Common side]

∴ In ∆UVW =~ ∆KMV [By SAS congruence criterion]