GEO05-3 SSS / SAS

Dropdown

​ Determine whether each pair of angles or line segments is congruent.

∠ABC and ∠XYZ ​

Select answer

FG and DE ​ ​

Select answer

OR and OS ​

Select answer

∠2 and ∠4 ​

Select answer

∠ROQ and ∠ROP ​

Select answer

Match

Match each statement to its corresponding reason.

• AB ≅ AD and BC ≅ DC

• AC ≅ AC

• △ABC ≅ △ADC

Given

Reflexive Property of Congruence

SSS

• Given

• Reflexive Property of Congruence

• SSS

Graphing

Triangle ABC has vertices A(1, 1), B(0, 3), and C(2, 5). Triangle EFG has vertices E(1, −1), F(2, −5), and G(4, −4). Graph these points.

Math Response

What is the length of side BC?

Type answer here

Correct Answer: 2\sqrt{2}

Deg^°

Rad

Math Response

What is the length of side EG?

Type answer here

Correct Answer: 3\sqrt{2}

Deg^°

Rad

Multiple Choice

Is triangle ABC congruent to triangle EFG? Justify your argument.

• No; AC ≠ FG, so SSS congruence is not met.

• No; BC ≠ FG, so SSS congruence is not met.

• Yes; all corresponding sides have the same measure, so SSS congruence is met.

• Yes; all corresponding sides have the same measure, so by the definition of congruent figures, △ABC ≅ △EFG.

Open Ended

Both legs of one right triangle are congruent to the legs of another right triangle. Are the triangles congruent? How do you know?

Match

If DE ≅ FE and EG bisects ∠DEF, prove that △DEG ≅ △FEG. Match the statements with their corresponding reasons to complete the proof.

• DE ≅ EF

• EG bisects ∠DEF

• ∠DEG ≅ ∠FEG

• EG ≅ EG

• △DEG ≅ △FEG

Given 1st

Given 2nd

Definition of Angle Bisector

Reflexive Property of Congruence

SAS

• Given 1st

• Given 2nd

• Definition of Angle Bisector

• Reflexive Property of Congruence

• SAS

Drag and Drop

​Which congruence criterion would you use to prove the two triangles congruent?

1. ​

Placeholder

2.

Placeholder

Drag these tiles and drop them in the correct blank above

SSS

ASA

AAS

AA

HL

SSAS

SAS