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Published byMichael Parkey Modified over 3 years ago

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More insight into the possible solutions for Q2. A very nice exercise on lines and planes! Many but not exhaustive solutions! Find errors if there are any

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. c1 b1 d1 a1 c1 b1 a3c3 b3 c4 b4 d4

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ c2 b2 d2 a1 c1 b1 a3c3 b3 c4 b4 d4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ c2 b2 d2 a1 c1 b1 p1 p1' q1 q1' r2 q1” q2 p2 qH r1 Solution unlikely from this lead PQR in other views can be determined Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ a1 c1 b1 c4 b4 d4 p1 p1' q1 q1' q1” pV' pV r4 rV r1 p4' p4 q1” q4" qV” qH” Hit and trial to determine q Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ a1 c1 b1 c4 b4 d4 p1 p1' q1 q1' q1” pV' pV r4 rV r1 p4' p4 Solution unlikely with q' q1' ? ? Hit and trial to determine q Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ a1 c1 b1 c4 b4 d4 p1 p1' q1 q1' q1” pV' pV r4 rV r1 p4' p4 q1 q4 qV qH Hit and trial to determine q Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ a3c3 b3 c4 b4 d4 p3 p3' q3 q3' r4 rV q41 q42 qV1 qV2 qH1 qH2 pV p4 r3 q41' q42' pV' p4' r4' rV’ r3' qV2' qV1' qH2’ qH1’ pH’ rH’ Join the primes to get another set of triangles PQR! Are solutions likely from this ‘r’ line? Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape.

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aH bH cH dH aV bV cV dV pH rH Name: _______________________________ Roll Number: _________________ BATCH: _________________ c1 b1 d1 a3c3 b3 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. p3 p3' q3 q3' r2 Solution unlikely from this lead Hit and trial method to determine ‘q’ qV qH pV p2 q2 rV r3 Solution unlikely from this lead Insufficient length Cannot shift Leftward beyond this limit

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Area of Plane Shapes Area of Compound Shapes 8 m 2 m 5 m 2 m Not to scale 4 m 3 m ? ? 16 m 2 20 m 2 6 m 2 Area = 16 + 20 + 6 = 42 m 2.

Area of Plane Shapes Area of Compound Shapes 8 m 2 m 5 m 2 m Not to scale 4 m 3 m ? ? 16 m 2 20 m 2 6 m 2 Area = 16 + 20 + 6 = 42 m 2.

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