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Geometry Questions & Answers

Q:
Multiple Choice 1 point Triangle \( A B C \) was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle \( A B C \) to create triangle \( A^{\prime} B^{\prime} C^{\prime} \) ? F \( (x, y) \rightarrow(x-3, y+2) \) G \( (x, y) \rightarrow(x+2, y-3) \) H \( (x, y) \rightarrow(2 x,-3 y) \) J \( (x, y) \rightarrow(-3 x, 2 y) \)
Q:
16 Multiple Choice 1 point Find the image of \( P(-2,4) \) under a translation along \( (x+6, y+5) \). \( P^{\prime}(4,9) \) \( P^{\prime}(-4,-9) \) \( P^{\prime}(-8,-1) \) \( P^{\prime}(8,1) \)
Q:
Reduce la ecuación dada a la forma canónica y luego realiza su gráfica. a. \( x^{2}+4 x+32 y+4 y^{2}=64 \) b. \( 9 x^{2}+4 y^{2}=36 \) c. \( 12 y^{2}-144 x-48 y+18 x^{2}+120=0 \) d. \( 3 x^{2}+4 x=3 y-y^{2}-1 \)
Q:
14. If the height of the thiangle is 9 ft what is the area of the triangle? A. \( 184 \mathrm{kt}^{2} \) B. \( 148 \mathrm{kt}^{2} \) C. \( 117 \mathrm{kt}^{2} \) D. \( 178 \mathrm{kt}^{2} \)
Q:
a. \( m \angle 3+m \angle 5=180 \) b. \( m \angle 2+m \angle 6=180 \) c. \( m \angle 8=m \angle 1 \)
Q:
An architect is working on a design project comprised of triangles. He has 2 pieces of metal rods measuring 8 feet and 11 feet for one of the triangles in the design. He would like the triangle to be obtuse. What would be a possible length for the third metal rod if it is to be the longest rod? Be sure to justify your answer.
Q:
1) Un cuadrado tiene un area de \( 36 \mathrm{~cm}^{2} \). ¿Cuánto mide su (a)do? (a) 6 cm b) 9 cm ch 12 cm d) \( 18 \mathrm{cly/} \)
Q:
Un cuadrado tiene un area de 36 cm ¿Cuánto mide suladg? \( \begin{array}{ll}\text { (a) } 6 \mathrm{~cm} \text { b) } 9 \mathrm{~cm} \text { di } & \mathrm{cm} \text { d) } 18 \mathrm{~cm}\end{array} \)
Q:
5. In Triangle \( M N O, \angle N \) is 5 times the measure of \( \angle M \), and \( \angle O \) is 4 times the measure of \( \angle M \).
Q:
If \( \mathrm{P}=(5,4) \), find the image of P under the following rotation. \( 90^{\circ} \) counterclockwise about the origin \( ([?],[]) \) Enter the number that belongs in the green box.

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