Prove It 6 Review :) - Triangle Congruences

CHECK ALL THAT APPLY: Which of the following is a valid postulate for triangles congruence?

• SAS postulate

• AAA postulate

• SSA postulate

• SSS postulate

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

To prove that  $\Delta AGE\cong\Delta OLD$ by SAS, what additional information is needed?

•  $GE\cong LD$  

•  $<AGE\cong<OLD$  

•  $AG\cong OL$  

•  $<AEG\cong<ODL$  

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

To prove that ∆MWY and ∆MNL are congruent by SAS, what other information is needed?

• $<W\cong<N$

• $WM\cong MN$

• $NL\cong WY$

• $<Y\cong<L$

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

To prove that ∆ZTU and ∆VTU are congruent by HL, what other information is needed?

• $<Z\cong<V$

• $ZT\cong TV$

• $ZU\cong UV$

• $TU\cong UT$

Tags

CCSS.HSG.SRT.B.5

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and ∠B ≅ ∠E. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

• ASA

• SAS

• HL

• SSS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and AC ≅ DF. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

• ASA

• SAS

• HL

• SSS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, BC≅ EF, and AC ≅ DF. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

• ASA

• SAS

• HL

• SSS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

In the diagram, four pairs of triangles are shown. Congruent corresponding parts are labeled in each pair. Using only the information given in the diagrams, which pair of triangles can NOT be proven congruent?

• C

• D

• A

• B

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. What postulate is being defined?

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

• Hypotenuse-Leg (HL)

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. What postulate is being defined?

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

• Hypotenuse-Leg (HL)

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5