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

Step-by-step explanation:

23) ∠D = ∠V  Given

     ∠T = ∠T   Reflexive Property

ΔTUV ~ ΔTED  by AA Similarity Theorem

$24)\quad \dfrac{AB}{AR}=\dfrac{AC}{AS}\longrightarrow \dfrac{10}{5}=\dfrac{10}{5}\longrightarrow 50=50\qquad sides\ are\ proportional\\\\.\qquad \angle A=\angle A$

ΔABC ~ ΔARS  by SAS Similarity Theorem

$25)\quad \dfrac{AC}{AS}=\dfrac{AB}{AR}\longrightarrow \dfrac{91}{78}=\dfrac{56}{48}\longrightarrow 4368=4368\qquad sides\ are\ proportional\\\\.\qquad \angle A=\angle A$

ΔABC ~ ΔARS  by SAS Similarity Theorem

26) ∠Q = ∠B  Given

     ∠QRP = ∠BRA   Vertical Angles

ΔRQP ~ ΔRBA  by AA Similarity Theorem