Triangle Similarity: AA

The composition is applied to △RST to create the image of △R"S"T", which is not shown. What are the coordinates of point S"?

(-3/2),(9/2)

Which composition of transformations will create a pair of similar, not congruent triangles?

A Rotation then, a dilation

Read the proof. Given: AB ∥ DE Prove: △ABC ~ △EDC StatementReason1. AB ∥ DE1. given2. ∠ACB and ∠ECD are vert. ∠s2. definition of vertical angles3. ∠ACB ≅ ∠DCE3. vertical angles are congruent4. ∠BDE and ∠DBA are alt. int. ∠s4. definition of alternate interior angles5. ∠BDE ≅ ∠DBA5. alternate interior angles are congruent6. △ABC ~ △EDC6. ?

AA similarity theorem

Multiple similarity transformations are performed on a triangle. Which elements must be preserved?

Angle Measure

In the diagram below, m∠A = 55° and m∠E = 35°. Which best explains the relationship between triangle ACB and triangle DCE?

The triangles are similar because all pairs of corresponding angles are congruent

Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a 180° rotation about the origin, then a dilation by a scale factor of 1/3

Two similar triangles are shown. ΔRST was _____________, then dilated, to create ΔZXY.

translated

Read the proof. Given: AEEC; BDDC Prove: △AEC ~ △BDC StatementReason1. AEEC;BDDC1. given2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠2. definition of perpendicular3. ∠AEC ≅ ∠BDC3. all right angles are congruent4. ?4. reflexive property5. △AEC ~ △BDC5. AA similarity theorem What is the missing statement in step 4?

∠ACE ≅ ∠BCD

Which must be true in order for the relationship to be correct?

∠Z = ∠W and ∠X = ∠U

Right triangle ABC is reflected over AC, then dilated by a scale factor of to form triangle DEC. Which statements about the two triangles must be true? Select three options.

△ABC ~ △DEC ∠B ≅ ∠E 3DE = 2AB