Question

State if the triangles in each pair are similar. If so, State how you know, they are similar and complete the similarity statement.​

Answer 1

Answer: (23) ΔTED, AA

(24) ΔARS, SAS

(25) ΔARS, SAS

(26) ΔRBA, AA

Explanation:

23) ∠D = ∠V Given

∠T = ∠T Reflexive Property

ΔTUV ~ ΔTED by AA Similarity Theorem

`24)\quad (AB)/(AR)=(AC)/(AS)\longrightarrow (10)/(5)=(10)/(5)\longrightarrow 50=50\qquad sides\ are\ proportional\\\\.\qquad \angle A=\angle A\\\\`

ΔABC ~ ΔARS by SAS Similarity Theorem

`25)\quad (AC)/(AS)=(AB)/(AR)\longrightarrow (91)/(78)=(56)/(48)\longrightarrow 4368=4368\qquad sides\ are\ proportional\\\\.\qquad \angle A=\angle A\\\\`

ΔABC ~ ΔARS by SAS Similarity Theorem

26) ∠Q = ∠B Given

∠QRP = ∠BRA Vertical Angles

ΔRQP ~ ΔRBA by AA Similarity Theorem