Parts of Triangles

Solve for x.

(a)  

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CCSS.HSG.CO.C.10

Solve for x.

(a)  

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CCSS.HSG.CO.C.10

Hint: try a few examples

• 1:1

• 1:2

• 1:3

• 1:4

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CCSS.HSG.CO.C.10

Which statement is always true? 

• AD ≅ DB

• AC ≅ AD

• ∠ACD ≅ ∠CDB

• ∠BCD ≅ ∠ACD

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CCSS.HSG.CO.C.10

• ∠FAB ≅ ∠ABF
• ∠ABF ≅ ∠CBD
•  CE ≅ EA 
• CF ≅ FA

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CCSS.HSG.CO.C.9

In ABC, D is a point on AC such that BD is a median. Which statement must be true?

• ΔABD ≅ ΔCBD

• ∠ABD ≅ ∠CBD

• AD ≅ CD

• BD ⊥ AC

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CCSS.HSG.CO.C.10

What is the length, in centimeters, of EF?

• 6

• 12

• 18

• 4

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CCSS.HSG.CO.C.10

If AC = 4x + 10, which expression represents DE?

•  x + 2.5 

• 2x + 5 

• 2x + 10

• 8x + 20

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CCSS.HSG.CO.C.10

• 6
• 7
• 9
• 12

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CCSS.HSG.SRT.B.4

If VW = 7x − 3 and AB = 3x + 1, what is the length of VC?

• 5

• 13

• 16

• 32

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CCSS.HSG.CO.C.10