Geometry B, Assignment 7. Meaning of Similarity - Proofs

1. GF = 1/2 GC, GE = 1/2 GD, EF = 1/2 DC 2. GF/GC = GE/GD = EF/DC 3. Triangle GFE ~ Triangle GCD

1. Given 2. Transitive property of equality/substitution 3. SSS

1. <A = <D 2. <BCA = <ECD 3. Triangle ACB ~ Triangle DCE

1. Given 2. Vertical <'s are = 3. AA

1. YZ || UV 2. <YXZ = <VXU 3. <YZV = <UVZ 4. Triangle XYZ ~ Triangle XUV 5. XY/XU = YZ/UV

1. Given 2. Vertical <'s are = 3. If lines II, alternate internal <'s = 4. AA 5. Definition of similar polygons

1. BC / CD = AC / CE 2. <BCA = <ECD 3. Triangle ACB ~ Triangle ECD

1. Given 2. Vertical <'s are = 3. SAS

For a pair of similar triangles, corresponding sides are always congruent.

False

<B = <E Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

NOT

<C = <F Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

NOT

BC = 5, EF = 15 Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

NOT

<A = <D Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

SAS

BC = 6, EF = 12 Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

SSS

BC/EF = 1/2 Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.

SSS