Year 8 Exam > Year 8 Videos > Mathematics for Year 8 > Congruence Among Right angled Triangle: RHS Congruence Criterion
Congruence Among Right angled Triangle: RHS Congruence Criterion Video Lecture | Mathematics for Year 8
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FAQs on Congruence Among Right angled Triangle: RHS Congruence Criterion Video Lecture - Mathematics for Year 8
| 1. What is the RHS congruence criterion for right-angled triangles? |  |
Ans. The RHS congruence criterion states that if in two right-angled triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and the corresponding side of the other triangle, then the triangles are congruent.
| 2. How can we prove the congruence of right-angled triangles using the RHS criterion? | |
Ans. To prove the congruence of right-angled triangles using the RHS criterion, we need to show that the hypotenuse and one side of one triangle are equal to the hypotenuse and the corresponding side of the other triangle. If these conditions are met, we can conclude that the triangles are congruent.
| 3. Are all right-angled triangles congruent if their hypotenuse and one side are equal? | |
Ans. No, all right-angled triangles are not congruent if only their hypotenuse and one side are equal. The RHS congruence criterion requires that both the hypotenuse and one side of one triangle are equal to the corresponding parts of the other triangle. If this condition is not met, the triangles may not be congruent.
| 4. Can we use the RHS congruence criterion to prove the congruence of non-right-angled triangles? | |
Ans. No, the RHS congruence criterion is specifically meant for right-angled triangles. It cannot be used to prove the congruence of non-right-angled triangles. For non-right-angled triangles, we need to use other congruence criteria such as SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), etc.
| 5. What are some other congruence criteria for triangles apart from the RHS criterion? | |
Ans. Apart from the RHS congruence criterion, some other congruence criteria for triangles are SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), AAS (angle-angle-side), and HL (hypotenuse-leg) criterion for right-angled triangles. These criteria help us determine when two triangles are congruent based on the lengths of their sides and/or the measures of their angles.
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