Similar Triangles Geometry

As shown in the diagram below, AB and CD intersect at E, and AC || BD. Given ▲AEC ∼ ▲BED, which equation is true?

In the diagram below, ABC ∼ DEF. If AB = 6 and AC = 8, which statement will justify similarity by SAS?

• DE = 9, DF = 12, and ∠A ≅ ∠D

• DE = 8, DF = 10, and ∠A ≅ ∠D

• DE = 36, DF = 64, and ∠C ≅ ∠F

• DE = 15, DF = 20, and ∠C ≅ ∠F

Triangles ABC and DEF are drawn below. If AB = 9, BC = 15, DE =6, EF = 10, and ∠B ≅ ∠E, which statement is true?

• ∠CAB ≅ ∠DEF

• ▲ABC ∼ ▲DEF

To find the distance across a pond from point B to point C, a surveyor drew the diagram below. The measurements he made are indicated on his diagram. Use the surveyor's information to determine and state the distance from point B to point C, to the nearest yard.

Evaluate responses using AI:

OFF

Based on the diagram below, find the length of TR.

• are

• SAS Similarity Theorem

• are not

• SSS Similarity Theorem

Tags

G.SRT.5

Find the length of DF.

Find side length X.

• 16

• 18

• 2.4

• 15

Tags

scale factor

Find side length X.

• 16

• 18

• 2.4

• 15

• 𝑈𝑆=6

• 𝑈𝑆=8

• 𝑈𝑆=14

• 𝑈𝑆=20