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Home Question Bank Math Geometry Archive 2025 January 08

Geometry Questions from Jan 08,2025

Browse the Geometry Q&A Archive for Jan 08,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A model aeroplane has a scale of \( 1: 40 \). (a) If the wing span on the model is 25 centimetres, what would be the wingspan of the real aeroplane? (b) If the real aeroplane has length 8 metres, what is the length of the model aeroplane? 2. If the radius of a circle is 8 cm , what is the diameter? 1. When a circle is divided into two equal parts, what is each part called? a circumference an area a semicircle a quarter of a circle Sobre una recta se tienen los puntos consecutivos \( A, B \) y \( C \) tales que: \( \frac{1}{A B}=\frac{5}{2}\left(\frac{1}{A C}\right)-\frac{1}{B C} \). Calcular el valor de \( \frac{A B}{B C}+\frac{B C}{A B} \) \( \begin{array}{ll}\text { a) } 1 & \text { b) } 2 \\ \text { c) } 2 / 3 & \text { d) } 1 / 2 \\ \text { e) } 1 / 3 & \end{array} \) Opgave 4 En cirkel er givet ved ligningen \[ x^{2}+x+y^{2}-2 y=\frac{3}{4} \] a) Bestem centrum og radius for cirklen. A map with a square grid is shown below. What is the bearing from A to B? Give your answer to the nearest degree. Find the final coordinates for each figure with the given vertices after the indicated glide reflection. (First, do the translation, then the indicated reflection). \( \begin{array}{ll}\text { 1. } \triangle R S T: R(1,-4), S(6,-4), T(5,-1) & \text { 2. } \triangle J K L: J(1,3), K(5,0), L(7,4) \\ \text { Translation: along }(2,0) & \text { Translation: along }\langle-3,0) \\ \text { Reflection: in } x \text {-axis } \\ \text { Reflection: in } x \text {-axis } & \text { 4. } \triangle M P Q: M(-4,3), P(-5,8), Q(-1,6) \\ \text { Translation: along }\langle-4,-4\rangle \\ \text { Reflection: in } y=x\end{array} \) \( \begin{array}{ll}\text { 3. } \triangle D F G: D(2,8), F(1,2), G(4,6) & \\ \text { Translation: along }(3,3) & \text { Reflection: in } y=x\end{array} \) Example 1 Find the final coordinates for each figure with the given vertices after the indicated glide reflection. (First, do the translation, then the indicated reflection). \( \begin{array}{ll}\text { 1. } \triangle R S T: R(1,-4), S(6,-4), T(5,-1) & \text { 2. } \triangle J K L: J(1,3), K(5,0), L(7,4) \\ \text { Translation: along }(2,0) & \text { Translation: along }(-3,0) \\ \text { Reflection: in } x \text {-axis } & \text { Reflection: in } x \text {-axis }\end{array} \) Compositions of Transformations • HW 1/8 Example 1 Find the final coordinates for each figure with the given vertices after the indicated glide reflection. (First, do the translation, then the indicated reflection). 1. \( \triangle R S T: R(1,-4), S(6,-4), T(5,-1) \) Translation: along \( (2,0) \) Reflection: \( \ln x \)-axis 16. Suppose a pair of angles measure \( 38^{\circ} \) and \( 67^{\circ} \), respectively. Are the angles complementary? Explain. No, the angles are not complementary angles because they are both less than \( 90^{\circ} \). No, the angles are not complementary angles because the sum of the measures is not \( 180^{\circ} \). Yes, the angles are complementary angles because the sum of their measures is greater than \( 90^{\circ} \). No, the angles are not complementary angles because the sum of the measures is not \( 90^{\circ} \).
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