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Home Question Bank Math Geometry Archive 2025 January 11

Geometry Questions from Jan 11,2025

Browse the Geometry Q&A Archive for Jan 11,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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7. The three vertices of a parallelogram ABCD are \( \mathrm{A}(-1,-2), \mathrm{B}(4,-1) \) and C \( (6,3) \). Find the coordinates of vertex D and find the area of parallelogram \( \mathbf{A B C D} \). Find the co-ordinates of the points of trisection of the line segment joining the \( A(2,-2) \) and \( (-7,4) \) Specifications call for drilling a hole \( 0.418 \pm 0.005 \) in. in diameter. Will a \( \frac{27}{64} \)-in. hole be within the required tolerance? Will a \( \frac{27}{64} \)-in. hole be within the required tolerance? No Yes \( A ( - \frac { 2 } { 3 } ; - \frac { 1 } { 6 } ) , \quad B ( 10 ; \frac { 2 } { 9 } ) \) If an 11 -in. wide by 16 - in. long photo is enlarged to \( 170 \% \) of its size, what are the new dimensions? The new width is \( \square \) in., and the new length is \( \square \mathrm{in} \). (Type a whole number or a decimal.) If an 11 -in. wide by 16 - in. long photo is enlarged to \( 170 \% \) of its size, what are the new dimensions? The new width is \( \square \) in., and the new length is \( \square \mathrm{in} \). (Type a whole number or a decimal.) 18 Two polygons are similar. The ratio between the lengths of two corresponding sides is \( 5: 3 \) and the difference between their areas equals \( 32 \mathrm{~cm}^{2} \), then the area of the smaller polygon \( =\ldots \ldots \ldots \ldots \mathrm{cm}^{2} \) \( \begin{array}{llll}\text { (a) } 18 & \text { (b) } 32 & \text { (c) } 50 & \text { (d) } 64\end{array} \) What is the formula used to calculate the volume of a pyramid? A city planning commission recently voted to restrict the size of home remodels by limiting the floor area to lot area ratio to a maximum of 0.35 to 1 . Under these guidelines, (a) What would be the maximum allowable size of a remodel on an \( 11,800 \mathrm{sq} \mathrm{ft} \) lot? (b) What size lot would be required in order to create a 2905 sq ft remodel? (a) The maximum allowable size of a remodel on an \( 11,800 \mathrm{sq} \mathrm{ft} \) lot would be \( \square \mathrm{sq} \mathrm{ft} \) Regular quadrilateral pyramid its slant height 13 cm and Area of its base \( 100 \mathrm{~cm}^{2} \) then volume \( =\ldots \ldots \ldots l \) \( \begin{array}{llll}\text { a) } 360 & \text { (b) } 400 & \text { (c) } 1300 & \text { (d) } 130\end{array} \)
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