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Geometry Questions & Answers

Q:
24. [8.6] Is the line containing the points \( P_{1}(-4,2) \) and \( P_{2}(1,6) \) parallel, perpendicular, or neither to the line containing the points \( Q_{1}(2,-4) \) and \( Q_{2}(7,0) \) ?
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Which number completes this Pythagorean triple?
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Examples 1 and 2 1. Triangle \( X Y Z \) has vertices \( X(0,2), Y(4,4) \), and \( Z(3,-1) \). Graph \( \triangle X Y Z \) and its image after a rotation of \( 180^{\circ} \) counterclockwise about \( Z \).
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2. จงหาสมการเส้นตรงที่ตั้งฉากกับเส้นสัมผัสกับวงกลม \( x^{2}+y^{2}-4 x-1=0 \) ที่จุดสัมผัส \( (3,-2) \)
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16. [8.4] Find the slope of the line containing the points \( P_{1}(-8,3) \) and \( P_{2}(-8,-1) \)
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For a project in her Geometry class, Ai Mi uses a mirror on the ground to measure the height of her school building. She walks a distance of 7.95 meters from the building, then places a mirror flat on the ground, marked with an X at the center. She then walks 2.3 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the school clearly marked in the X . Her partner measures the distance from her eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
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Exercise 8.1 1. Sketched below is the graph of \( y=2 x+4 \) a) Determine the coordinates of \( A \) and \( B \) : b) Determine the length of \( A B \).
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\( \Delta \mathrm{KL} \cong \triangle \mathrm{MNO} \). Complete the congruence statement. \( \Delta \mathrm{NOM} \cong \) ? \( \triangle \mathrm{NOM} \cong \Delta \square \)
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12. In the figure, each small cube has edges that are \( \frac{1}{3} y d \) long. Which expression can you use to find the volume of the rectangular prism in cubic yards? A \( 2 \times 4 \times 5 \) (B) \( 2 \times 4 \times 5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \) C \( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \) D \( 2 \times 4 \times 5 \div\left(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}\right) \)
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\( \overline{\mathrm{DEF} \cong \triangle \mathrm{MNO} \text {. Complete the congruence statement. }} \overline{\overline{\mathrm{EF}} \cong \text { ? }} \mathrm{\overline{ } \mathrm{\square} \cong \bar{\square}} \)

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