Congruent Triangles 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 3 questions completed
Questions:
 1
 2
 3
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
 1
 2
 3
 Answered
 Review

Question 1 of 3
1. Question
Is `∆XWY` congruent to `∆WYZ`Hint
Help VideoCorrect
Keep Going!
Incorrect
Two triangles are congruent if all corresponding angles and sides are equalUse the given diagram to determine whether any of the angles or sides are congruentStatement: `/_XYW``=``/_WYZ`Reason: Since `/_WYZ=90°` and the two angles lie on a straight line, they have a sum of `180°``(R)` Right AngleStatement: `XW``=``ZW`Reason: Given by the markings (one dash) on each segment`(H)` HypotenuseStatement: `WY``=``WY`Reason: This is a common side for both triangles`(S)` SideWe have proved congruence of a right angle, the hypotenuse, and `1` side between the two triangles. Therefore, the two triangles are congruent according to the Right AngleHypotenuseSide `\text((RHS))` criteriaYes, `∆XWY` is congruent to `∆WYZ`More InfoCongruent TrianglesUse any of the following 4 tests to prove congruence between two triangles:SideSideSide `\text((SSS))`
If 3 sides of one triangle are equal to 3 sides of another triangle, then the triangles are congruent.SideAngleSide `\text((SAS))`
Two triangles are congruent if 2 sides and the included angle of one are respectively equal to 2 sides and the included angle of the otherAngleAngleSide `\text((AAS))`
Two triangles are congruent if 2 angles and a side of one are respectively equal to 2 angles and the corresponding side of the other.Right AngleHypotenuseSide `\text((RHS))`
Two right angled triangles are congruent if the hypotenuse and a side of one are respectively equal to the hypotenuse and a side of anotherAlternate, Corresponding and CoInterior Angle TypesAlternate Angles
Alternate Angles in parallel lines are equal. These angles typically form a Z shape.Corresponding Angles
Corresponding Angles in parallel lines are equal. These angles typically form an F shape.CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°.` These angles typically form a C Shape 
Question 2 of 3
2. Question
Is `∆STR` congruent to `∆PTQ`Hint
Help VideoCorrect
Correct!
Incorrect
Two triangles are congruent if all corresponding angles and sides are equalUse the given diagram to determine whether any of the angles or sides are congruentStatement: `SR``=``PQ`Reason: Opposite sides of a parallelogram are equal.`(S)` SideWe have proved congruence of `1` side and `2` angles between the two triangles. Therefore, the two triangles are congruent according to the AngleAngleSide `\text((AAS))` criteriaYes, `∆STR` is congruent to `∆PTQ`More InfoCongruent TrianglesUse any of the following 4 tests to prove congruence between two triangles:SideSideSide `\text((SSS))`
If 3 sides of one triangle are equal to 3 sides of another triangle, then the triangles are congruent.SideAngleSide `\text((SAS))`
Two triangles are congruent if 2 sides and the included angle of one are respectively equal to 2 sides and the included angle of the otherAngleAngleSide `\text((AAS))`
Two triangles are congruent if 2 angles and a side of one are respectively equal to 2 angles and the corresponding side of the other.Right AngleHypotenuseSide `\text((RHS))`
Two right angled triangles are congruent if the hypotenuse and a side of one are respectively equal to the hypotenuse and a side of anotherAlternate, Corresponding and CoInterior Angle TypesAlternate Angles
Alternate Angles in parallel lines are equal. These angles typically form a Z shape.Corresponding Angles
Corresponding Angles in parallel lines are equal. These angles typically form an F shape.CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°.` These angles typically form a C Shape 
Question 3 of 3
3. Question
Is side `JK` equal to side `HL`Hint
Help VideoCorrect
Great Work!
Incorrect
Two triangles are congruent if all corresponding angles and sides are equalUse the given diagram to determine whether any of the angles or sides are congruentStatement: `GK``=``LI`Reason: Given by the markings (two dashes) on each segment`(S)` SideStatement: `/_ KGJ``=``/_ HIL`Reason: Opposite angles of a parallelogram are equal.`(A)` AngleStatement: `GJ``=``HI`Reason: Opposite sides of a parallelogram are equal.`(S)` SideWe have proved congruence of `2` sides and `1` angle between the two triangles. Therefore, the two triangles are congruent according to the SideAngleSide `\text((SAS))` criteriaSince we have proven the congruence of the two triangles, it means that corresponding sides, such as sides `JK` and `HL`, are equal.Yes, side `JK` is equal to side `HL`More InfoCongruent TrianglesUse any of the following 4 tests to prove congruence between two triangles:SideSideSide `\text((SSS))`
If 3 sides of one triangle are equal to 3 sides of another triangle, then the triangles are congruent.SideAngleSide `\text((SAS))`
Two triangles are congruent if 2 sides and the included angle of one are respectively equal to 2 sides and the included angle of the otherAngleAngleSide `\text((AAS))`
Two triangles are congruent if 2 angles and a side of one are respectively equal to 2 angles and the corresponding side of the other.Right AngleHypotenuseSide `\text((RHS))`
Two right angled triangles are congruent if the hypotenuse and a side of one are respectively equal to the hypotenuse and a side of anotherAlternate, Corresponding and CoInterior Angle TypesAlternate Angles
Alternate Angles in parallel lines are equal. These angles typically form a Z shape.Corresponding Angles
Corresponding Angles in parallel lines are equal. These angles typically form an F shape.CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°.` These angles typically form a C Shape