SAS Criteria for Congruency of Triangles
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Which is the included angle between the sides DE and EF of ∠DEF?
- ∠E
- ∠F
- None of the above
- ∠D
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/1059181/original_Untitled_drawing_28429.jpg)
- ∠P
- ∠R
- ∠Q
- None of the above
In two triangles, if two corresponding sides and an angle are equal, then the triangles are necessarily congruent. True/False?
True
False
BD is a perpendicular bisector of AC. Which statement can NOT always be proven?
∠ADB ≅ ∠CDB
AD ≅ CD
ΔABD ≅ ΔCBD
BD ≅ DC
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/864539/original_39.png)
- ΔABD≅ΔACD by SAS
- BD=CD
- ΔABD≅ΔACD by AAS
- AB=CD
In △ ABC and △ XYZ, if AB = XY, BC = YZ and ∠ ABC = ∠XYZ = 90∘, then by which postulate is △ABC ≅△XYZ ?
SSS
SAS
ASA
RHS
In the given figure, AP = BP and CP = DP. Which of the following statements are true?
- ΔAPC≅ΔBPD by ASA postulate
- ΔAPC≅ΔBPD by SAS postulate
- ∠CAP=∠DBP
- AC∥BD
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/421344/original_Annotation_MBQ1.png)
- ASA
- RHS
- SAS
- SSS
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/443003/original_Annotation_2019-09-06_172042.4.png)
- 60°
- 50°
- 80°
- 70°
in triangleDEF angleE=80degrees, angleF=30 degrees, EF=5cm
in trianglePQR angleP=80degrees, PQ=5cm, angleR=30degrees.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/435207/original_83.png)
Which of the following statement(s) is/are correct for the above two triangles?
- CA = QR
- ∠CAB=∠QRP
- △BCA≅△PQR
- ∠CAB=∠QPR
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/418338/original_Annotation27.png)
- AB
- BC
- CA
- Cannot say
What is the criterion of SAS and ASA congruency? [2 MARKS]
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/419161/original_Annotation35.png)
- △AOB ≅ △BOC ≅ △COD ≅ △DOA
- △AOB ≅ △BOC ≆ △COD ≅ △DOA
- △AOB ≅ △BOC ≅ △COD ≆ △DOA
- △AOB ≅ △BOC ≆ △COD ≆ △DOA
- QR
- PQ
- RP
- Any side of △PQR
(a) In the given figure, prove that lx∥my∥nz. [3 MARKS]
(b) If k=50∘, then what is the value of ∠PSY?
- 15° and 14
- 25° and 14
- 14° and 15
- 14° and 25
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/419514/original_Annotation32.png)
△COB is an equilateral triangle and OD=OA.
Which of these statement is correct?
- AB = DB
- OC = DO
- AB = DC
- DB = AB
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/11446/content_2.png)
△AEF ≅ △AED by
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/443054/original_Annotation_2019-09-06_182557.8.png)
- SAS
- RHS
- ASA
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/434584/original_Annotation75.png)
If, side DE of △DEF is equal to side BA of △BAC. Then,
- △BAC ≅△DEF by ASA criteria
- △BAC ≅△DEF by SAS criteria
- △BAC ≅△DEF by RHS criteria
- △BAC ≅△DEF by SSS criteria
If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.
SSS congruence condition
ASA congruence condition
RHS congruence condition
SAS congruence condition
- The triangles are not congruent and not similar
- The triangles are similar but not congruent
- The triangles are congruent and similar.
- None of the statement above is true.
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/11446/content_2.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/419064/original_Annotation34.png)
PQRSTU is a hexagon with all sides equal. Which of these statements is/are correct?
- UQ = TR
- UQ = ST
- △PUQ≅△STR
- TR = PU
then △ABC≅△PQR by SSA criterion.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/5813/content_congruent_triangles_abc_pqr.png)
- True
- False
![176931_5903eb7ce6464a4e90ef999ae5f49c7e.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/176931_5903eb7ce6464a4e90ef999ae5f49c7e.png)
- True
- False
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/415023/original_Annotation10.png)
- 60∘
- 50∘
- 30∘
- 40∘