Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Draw quadrilateral ABCD with the following measurements. find also area. AB = 6cm, BC = 7cm, CD = 5cm, DA = 6cm, and AC = 10cm. ___cm2 Answer:_______________ |
| 2) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6cm. ___cm2 Answer:_______________ |
| 3) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6.5cm. ___cm2 Answer:_______________ |
| 4) Draw quadrilateral ABCD with the following measurements. find also area. AB = 5cm, BC = 6cm, CD = 4cm, DA = 5.5cm, and AC = 7cm. ___cm2 Answer:_______________ |
| 5) Draw quadrilateral ABCD with the following measurements. find also area. AB = 5.5cm, BC = 6.5cm, CD = 7cm, DA = 5cm, and AC = 8cm. ___cm2 Answer:_______________ |
| 6) Draw quadrilateral ABCD with the following measurements. find also area. AB = 8cm, BC = 6.5cm, CD = 6cm, DA = 6.4cm, and AC = 9cm. ___cm2 Answer:_______________ |
| 7) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 6.5cm, CD = 6cm, DA = 4.5cm, and AC = 8cm. ___cm2 Answer:_______________ |
| 8) Draw quadrilateral ABCD with the following measurements. find also area. AB = 6cm, BC = 7cm, CD = 5cm, DA = 6cm, and AC = 10cm. ___cm2 Answer:_______________ |
| 9) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6cm. ___cm2 Answer:_______________ |
| 10) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6.5cm. ___cm2 Answer:_______________ |
| 1) Draw quadrilateral ABCD with the following measurements. find also area. AB = 6cm, BC = 7cm, CD = 5cm, DA = 6cm, and AC = 10cm. Answer: 42.5cm2 SOLUTION 1 :
Draw a line segment AB = 6cm. With A and B as centres, draw arcs of radii 10cm and 7cm respectively and let them cut at C. 6cm Join AC and BC. With A and C as centres, draw arcs of radii 6cm and 5cm, respectively and let them cut at D. 7cm 10cm 6cm Join AD and CD. ABCD is the required quadrilateral. 7cm 5cm 6cm 6cm 10cm From B draw BE I AC and from D draw DF I AC, BE = 4.5cm (h1) and DF = 4cm (h2) and AC = 10cm (d) 4 4.5cm 7cm 5cm 6cm 6cm In the quadrilateral ABCD, d = 10cm, h1 = 6cm and h2 = 5cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 10 (4.5 + 4) = (10 x 8.5) ÷ (2) = 42.5cm2 |
| 2) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6cm. Answer: 24cm2 SOLUTION 1 :
Draw a line segment AB = 7cm. With A and B as centres, draw arcs of radii 6cm and 5cm respectively and let them cut at C. 7cm Join AC and BC. With A and C as centres, draw arcs of radii 4.5cm and 4cm, respectively and let them cut at D. 5cm 6cm 7cm Join AD and CD. ABCD is the required quadrilateral. 5cm 4cm 4.5cm 7cm 6cm From B draw BE I AC and from D draw DF I AC, BE = 5cm (h1) and DF = 3cm (h2) and AC = 6cm (d) 3 5cm 5cm 4cm 4.5cm 7cm In the quadrilateral ABCD, d = 6cm, h1 = 4.5cm and h2 = 4cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 6 (5 + 3) = (6 x 8) ÷ (2) = 24cm2 |
| 3) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6.5cm. Answer: 29.25cm2 SOLUTION 1 :
Draw a line segment AB = 7cm. With A and B as centres, draw arcs of radii 6.5cm and 5cm respectively and let them cut at C. 7cm Join AC and BC. With A and C as centres, draw arcs of radii 4.5cm and 4cm, respectively and let them cut at D. 5cm 6.5cm 7cm Join AD and CD. ABCD is the required quadrilateral. 5cm 4cm 4.5cm 7cm 6.5cm From B draw BE I AC and from D draw DF I AC, BE = 4cm (h1) and DF = 5cm (h2) and AC = 6.5cm (d) 5 4cm 5cm 4cm 4.5cm 7cm In the quadrilateral ABCD, d = 6.5cm, h1 = 4.5cm and h2 = 4cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 6.5 (4 + 5) = (6.5 x 9) ÷ (2) = 29.25cm2 |
| 4) Draw quadrilateral ABCD with the following measurements. find also area. AB = 5cm, BC = 6cm, CD = 4cm, DA = 5.5cm, and AC = 7cm. Answer: 26.25cm2 SOLUTION 1 :
Draw a line segment AB = 5cm. With A and B as centres, draw arcs of radii 7cm and 6cm respectively and let them cut at C. 5cm Join AC and BC. With A and C as centres, draw arcs of radii 5.5cm and 4cm, respectively and let them cut at D. 6cm 7cm 5cm Join AD and CD. ABCD is the required quadrilateral. 6cm 4cm 5.5cm 5cm 7cm From B draw BE I AC and from D draw DF I AC, BE = 4.5cm (h1) and DF = 3cm (h2) and AC = 7cm (d) 3 4.5cm 6cm 4cm 5.5cm 5cm In the quadrilateral ABCD, d = 7cm, h1 = 5.5cm and h2 = 4cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 7 (4.5 + 3) = (7 x 7.5) ÷ (2) = 26.25cm2 |
| 5) Draw quadrilateral ABCD with the following measurements. find also area. AB = 5.5cm, BC = 6.5cm, CD = 7cm, DA = 5cm, and AC = 8cm. Answer: 26cm2 SOLUTION 1 :
Draw a line segment AB = 5.5cm. With A and B as centres, draw arcs of radii 8cm and 6.5cm respectively and let them cut at C. 5.5cm Join AC and BC. With A and C as centres, draw arcs of radii 5cm and 7cm, respectively and let them cut at D. 6.5cm 8cm 5.5cm Join AD and CD. ABCD is the required quadrilateral. 6.5cm 7cm 5cm 5.5cm 8cm From B draw BE I AC and from D draw DF I AC, BE = 4cm (h1) and DF = 2.5cm (h2) and AC = 8cm (d) 2.5 4cm 6.5cm 7cm 5cm 5.5cm In the quadrilateral ABCD, d = 8cm, h1 = 5cm and h2 = 7cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 8 (4 + 2.5) = (8 x 6.5) ÷ (2) = 26cm2 |
| 6) Draw quadrilateral ABCD with the following measurements. find also area. AB = 8cm, BC = 6.5cm, CD = 6cm, DA = 6.4cm, and AC = 9cm. Answer: 45cm2 SOLUTION 1 :
Draw a line segment AB = 8cm. With A and B as centres, draw arcs of radii 9cm and 6.5cm respectively and let them cut at C. 8cm Join AC and BC. With A and C as centres, draw arcs of radii 6.4cm and 6cm, respectively and let them cut at D. 6.5cm 9cm 8cm Join AD and CD. ABCD is the required quadrilateral. 6.5cm 6cm 6.4cm 8cm 9cm From B draw BE I AC and from D draw DF I AC, BE = 5.5cm (h1) and DF = 4.5cm (h2) and AC = 9cm (d) 4.5 5.5cm 6.5cm 6cm 6.4cm 8cm In the quadrilateral ABCD, d = 9cm, h1 = 6.4cm and h2 = 6cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 9 (5.5 + 4.5) = (9 x 10) ÷ (2) = 45cm2 |
| 7) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 6.5cm, CD = 6cm, DA = 4.5cm, and AC = 8cm. Answer: 36cm2 SOLUTION 1 :
Draw a line segment AB = 7cm. With A and B as centres, draw arcs of radii 8cm and 6.5cm respectively and let them cut at C. 7cm Join AC and BC. With A and C as centres, draw arcs of radii 4.5cm and 6cm, respectively and let them cut at D. 6.5cm 8cm 7cm Join AD and CD. ABCD is the required quadrilateral. 6.5cm 6cm 4.5cm 7cm 8cm From B draw BE I AC and from D draw DF I AC, BE = 5.5cm (h1) and DF = 3.5cm (h2) and AC = 8cm (d) 3.5 5.5cm 6.5cm 6cm 4.5cm 7cm In the quadrilateral ABCD, d = 8cm, h1 = 4.5cm and h2 = 6cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 8 (5.5 + 3.5) = (8 x 9) ÷ (2) = 36cm2 |
| 8) Draw quadrilateral ABCD with the following measurements. find also area. AB = 6cm, BC = 7cm, CD = 5cm, DA = 6cm, and AC = 10cm. Answer: 42.5cm2 SOLUTION 1 :
Draw a line segment AB = 6cm. With A and B as centres, draw arcs of radii 10cm and 7cm respectively and let them cut at C. 6cm Join AC and BC. With A and C as centres, draw arcs of radii 6cm and 5cm, respectively and let them cut at D. 7cm 10cm 6cm Join AD and CD. ABCD is the required quadrilateral. 7cm 5cm 6cm 6cm 10cm From B draw BE I AC and from D draw DF I AC, BE = 4.5cm (h1) and DF = 4cm (h2) and AC = 10cm (d) 4 4.5cm 7cm 5cm 6cm 6cm In the quadrilateral ABCD, d = 10cm, h1 = 6cm and h2 = 5cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 10 (4.5 + 4) = (10 x 8.5) ÷ (2) = 42.5cm2 |
| 9) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6cm. Answer: 24cm2 SOLUTION 1 :
Draw a line segment AB = 7cm. With A and B as centres, draw arcs of radii 6cm and 5cm respectively and let them cut at C. 7cm Join AC and BC. With A and C as centres, draw arcs of radii 4.5cm and 4cm, respectively and let them cut at D. 5cm 6cm 7cm Join AD and CD. ABCD is the required quadrilateral. 5cm 4cm 4.5cm 7cm 6cm From B draw BE I AC and from D draw DF I AC, BE = 5cm (h1) and DF = 3cm (h2) and AC = 6cm (d) 3 5cm 5cm 4cm 4.5cm 7cm In the quadrilateral ABCD, d = 6cm, h1 = 4.5cm and h2 = 4cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 6 (5 + 3) = (6 x 8) ÷ (2) = 24cm2 |
| 10) Draw quadrilateral ABCD with the following measurements. find also area. AB = 7cm, BC = 5cm, CD = 4cm, DA = 4.5cm, and AC = 6.5cm. Answer: 29.25cm2 SOLUTION 1 :
Draw a line segment AB = 7cm. With A and B as centres, draw arcs of radii 6.5cm and 5cm respectively and let them cut at C. 7cm Join AC and BC. With A and C as centres, draw arcs of radii 4.5cm and 4cm, respectively and let them cut at D. 5cm 6.5cm 7cm Join AD and CD. ABCD is the required quadrilateral. 5cm 4cm 4.5cm 7cm 6.5cm From B draw BE I AC and from D draw DF I AC, BE = 4cm (h1) and DF = 5cm (h2) and AC = 6.5cm (d) 5 4cm 5cm 4cm 4.5cm 7cm In the quadrilateral ABCD, d = 6.5cm, h1 = 4.5cm and h2 = 4cm. Area of quadrilateral ABCD, = d(h1 + h2) = x 6.5 (4 + 5) = (6.5 x 9) ÷ (2) = 29.25cm2 |