5.1 Exploring what Makes Triangles Congruent

Which triangles are congruent to A?

HINT: FIND THE THIRD ANGLE.

• 
• 
• 
• none of them

Answer explanation

Tags

CCSS.8.G.A.2

Which triangles are congruent to F?

HINT: FIND THE THIRD ANGLE.

• 
• 
• 
• NONE of them

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Which of the following triangles are congruent to T? Select all that apply.

HINT: FIND THE THIRD SIDE.

• 
• 
• 
• 

Tags

CCSS.8.G.A.2

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.

HINT: FIND X USING PR=JL. THEN PLUG X INTO PR.

• 10

• 2

• 12

• 30

Answer explanation

Tags

CCSS.HSG.CO.B.7

Select the congruent triangles.

• 
• 
• 
• 

Tags

CCSS.8.G.A.2

After a series of rigid transformations, ΔDOG is mapped onto ΔD'O'G'.

Find x.

• 2.5

• 4

• 6

• 6.5

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

ΔDEF is a 90º clockwise rotation of ΔABC. Find x.

• 20

• 35

• 63

• 78

Tags

CCSS.HSG.CO.B.7

 $\Delta ABC\cong\Delta EDC$  Find x.

• 11

• 19

• 38

• 58

Tags

CCSS.HSG.CO.B.7

Given the diagram, which of the following must be true?

• ∆XSF ≅ ∆XTG

• ∆SXF ≅ ∆GXT

• ∆FXS≅ ∆XGT

• ∆FXS ≅ ∆GXT

Tags

CCSS.HSG.SRT.B.5

Use the Third Angles Theorem to find the value of x.

• x = 60

• x = 55

• x = 15

• x = 65

Answer explanation

Tags

CCSS.HSG.CO.B.7