In triangle PQR, the sides are typically denoted as follows: side PQ is opposite vertex R, side QR is opposite vertex P, and side RP is opposite vertex Q. The lengths of these sides can vary depending on the specific dimensions of the triangle. If you have particular measurements or properties in mind for triangle PQR, please provide them for a more detailed response.
Triangles PQR and STU are similar if their corresponding sides are in proportion. Given that PR = 12 and SU = 3, we can check the ratio of the sides: PR/SU = 12/3 = 4. If the other pairs of corresponding sides also maintain this ratio, then the triangles are similar by the Side-Side-Side (SSS) similarity theorem. However, without additional side lengths for the other sides, we cannot definitively conclude similarity.
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.
1/5
An equilateral and right triangle are contradictory.
(-2,4)
m = pqr/s Multiply both sides by s: ms = pqr Divide both sides by pq: ms/pq = r
Triangles PQR and STU are similar if their corresponding sides are in proportion. Given that PR = 12 and SU = 3, we can check the ratio of the sides: PR/SU = 12/3 = 4. If the other pairs of corresponding sides also maintain this ratio, then the triangles are similar by the Side-Side-Side (SSS) similarity theorem. However, without additional side lengths for the other sides, we cannot definitively conclude similarity.
That depends on which sides have not been proven congruent yet.
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.
1/5
True, ABC is congruent to PQR by the transitive property.
An equilateral and right triangle are contradictory.
false
Since the sides of triangle are equal, the triangles are equilateral. Just for your information, in this question, we do not require the length of sides. It is just additional information. :) The area of equilateral triangle is: (√3)/4 × a², where a is the side of the equilateral triangle. For triangle ABC, area will be = (√3)/4 × a² (Let 'a' is the side of triangle ABC) Since, side of triangle PQR is half that of ABC, it will be = a/2 Therefore, area of triangle PQR = (√3)/4 × (a/2)² = (√3)/16 × a² Take the ratio of areas of triangle ABC and PQR: [(√3)/4 × a²] / [(√3)/16 × a²] = 4:1
False. If ABC definitely equals DEF equals MNO and MNO equals PQR then ABC does not equal PQR by the transitive property.
(-2,4)
false