Are the two triangles similar? If yes, then complete the similarity statement. Select all that apply. △ACB∼△? The triangles are not similar. △EFD △DFE SAS similarity SSS similarity AA similarity

Step 1 To write that triangles are similar or not Step 2 See angle DFE= angle ACB=90∘ angle DEF= angle ABC=35∘ Since, in triangle ABC By angle sum property 90∘+55∘+angle ABC=180∘ angle ABC=180∘−145∘=35∘ also, Angle EDF=angle BAC=55∘ Since, in triangle ABC 90∘+35∘+Angle BAC=180∘ 135∘+angle BAC=180∘ angle BAC=180∘−125∘=55∘ So, triangle ABC ∼ triangle DFE By AAA

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High School
Geometry
High school geometry
Similarity

snowlovelydayM

Answered question

2021-07-31

Are the two triangles similar? If yes, then complete the similarity statement.
Select all that apply.

△ A C B \sim △

The triangles are not similar.

△ E F D

△ D F E

SAS similarity
SSS similarity
AA similarity

Answer & Explanation

yunitsiL

Skilled2021-08-01Added 108 answers

Step 1
To write that triangles are similar or not
Step 2
See angle DFE= angle ACB=

90^{\circ}

angle DEF= angle ABC=

35^{\circ}

Since, in triangle ABC
By angle sum property

90^{\circ} + 55^{\circ}

+angle ABC=

180^{\circ}

angle

A B C = 180^{\circ} - 145^{\circ} = 35^{\circ}

also,
Angle EDF=angle BAC=

55^{\circ}

Since, in triangle ABC

90^{\circ} + 35^{\circ}

+Angle BAC=

180^{\circ}

135^{\circ}

+angle BAC=

180^{\circ}

angle BAC=

180^{\circ} - 125^{\circ} = 55^{\circ}

So, triangle ABC

\sim

triangle DFE
By AAA

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