Analyze Triangle Congruence Conditions

Select the correct congruence statement for the triangles shown.

• $\Delta PRQ\cong\Delta YZR$

• $\Delta RPQ\cong\Delta RZY$

• $\Delta RPQ\cong\Delta RYZ$

• $\Delta RPQ\cong\Delta ZRY$

Answer explanation

Write congruence statements in order of their corresponding sides and angles.

Tags

CCSS.HSG.SRT.B.5

Complete the congruence statement by naming the corresponding angle or side.

• $\angle S$

• $\angle YST$

• $\angle Y$

• $\angle STY$

Tags

CCSS.HSG.CO.B.7

Complete the congruence statement by naming the corresponding angle or side.

• $KI$

• $JK$

• $IJ$

• $\angle I$

Tags

CCSS.HSG.CO.B.7

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

Determine if the two triangles are congruent. If they are, state how you know.

• ASA

• AAS

• SSS

• HL

• Not enough information

Answer explanation

The order of the congruent sides and angles matters!

Include ALL known information, even if it isn't clearly marked in the diagram (including shared sides or angles).

Tags

CCSS.HSG.SRT.B.5

What additional information is required in order to know that the triangles are congruent for the reason given?

• $FG\cong FI$

• $\angle G\cong\angle I$

• $EF\cong EF$

• $EF\cong EF\ or\ GE\cong IE$

Tags

CCSS.HSG.SRT.B.5