congruent - asa
Congruent - SSS
yes
cannot be determined
Here is the answer to your query. Consider two ∆ABC and ∆PQR. In these two triangles ∠B = ∠Q = 90�, AB = PQ and AC = PR. We can prove the R.H.S congruence rule i.e. to prove ∆ABC ≅ ∆PQR We need the help of SSS congruence rule. We have AB = PQ, and AC = PR So, to prove ∆ABC ≅ ∆PQR in SSS congruence rule we just need to show BC = QR Now, using Pythagoras theorems in ∆ABC and ∆PQR Now, in ∆ABC and ∆PQR AB = PQ, BC = QR, AC = PR ∴ ∆ABC ≅ ∆PQR [Using SSS congruence rule] So, we have AB = PQ, AC = PR, ∠B = ∠Q = 90� and we have proved ∆ABC ≅ ∆PQR. This is proof of R.H.S. congruence rule. Hope! This will help you. Cheers!!!
PQ ST
Congruent - SSS
To determine if triangle MNO is congruent to triangle PQR, we need to compare their corresponding sides and angles. If they are equal in length and measure, then MNO is congruent to PQR. The specific congruence postulate that could apply is the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
yes
cannot be determined
Here is the answer to your query. Consider two ∆ABC and ∆PQR. In these two triangles ∠B = ∠Q = 90�, AB = PQ and AC = PR. We can prove the R.H.S congruence rule i.e. to prove ∆ABC ≅ ∆PQR We need the help of SSS congruence rule. We have AB = PQ, and AC = PR So, to prove ∆ABC ≅ ∆PQR in SSS congruence rule we just need to show BC = QR Now, using Pythagoras theorems in ∆ABC and ∆PQR Now, in ∆ABC and ∆PQR AB = PQ, BC = QR, AC = PR ∴ ∆ABC ≅ ∆PQR [Using SSS congruence rule] So, we have AB = PQ, AC = PR, ∠B = ∠Q = 90� and we have proved ∆ABC ≅ ∆PQR. This is proof of R.H.S. congruence rule. Hope! This will help you. Cheers!!!
Similar -AA (got it right on apex)
PQ ST
To determine if triangles PQR and XYZ are congruent, we need to compare their corresponding sides and angles. If all three pairs of sides are equal (SSS), or if two pairs of sides and the included angle are equal (SAS), or if two angles and the corresponding side between them are equal (ASA or AAS), then the triangles are congruent. Additionally, if the triangles are similar (AA), they may not be congruent unless their corresponding sides are also proportional. Thus, without specific measurements or angles provided, we cannot definitively conclude congruence.
Yes, triangles PQR and STU are similar. They are similar by the Side-Side-Side (SSS) similarity postulate because the ratios of their corresponding sides are equal. Given that PR = 12 and SU = 3, the ratio PR/SU = 12/3 = 4, indicating that all corresponding sides maintain the same ratio. Thus, the triangles are similar due to proportionality of their sides.
The answer will be AA which is short for (Angle Angle). Hope this helped.
"If two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the two triangles are congruent."Example:Given:
Similar SAS-apex