Select all the straightedge and compass constructions needed to locate the point that is the same distance from all 3 points. (Lesson 1-9) \( \begin{array}{ll}\square & \text { A) Construct the bisector of angle CAB. } \\ \square & \text { C) Construct the bisector of angle CBA, } \\ \square & \text { D) Construct the perpendicular bisector of } A B \text {. } \\ \square \text { B) Construct a line perpendicular to } A B \text { through point } C \text {. } \\ \square \text { D) Construct a line perpendicular to } B C \text { through point } A \text {. }\end{array} \)

Find the area of the sector of a at the centre is \( 140^{\circ} \). (Take \( \pi= \) Solution Area A of a sector is given by; \( \begin{aligned} \text { A }=\frac{\theta}{360} \times \pi r^{2}\end{aligned} \) \( \begin{aligned} \therefore \text { Area } & =\frac{140}{360} \times \frac{22}{7} \times 3^{2} \\ & =11 \mathrm{~cm}^{2}\end{aligned} \)

5. A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

3. Жазықтықтың қозғалысы \( =x-3, y^{\prime}=y+1 \) формулаларымен . А) жазықтық түрлендіру түрін көрстіңіз B) Қозғалыстың осы түрі үшін \( \mathrm{A}(4 ;-4) \) нүктесінің кері кескінінің координаталарын анықтаңыз. \( \quad \) [1]

\( =11 \mathrm{~cm}^{2} \) Example 2 The area of a sector of a circle is 38.5 cm if the angle subtended at the centre is 90

4. Which of the following can be the sides of a right triangle? (i) \( 2.5 \mathrm{~cm}, 6.5 \mathrm{~cm}, 6 \mathrm{~cm} \). (iii) \( 2 \mathrm{~cm}, 2 \mathrm{~cm}, 5 \mathrm{~cm} \). (iii) \( 1.5 \mathrm{~cm}, 2 \mathrm{~cm}, 2.5 \mathrm{~cm} \).