Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which figure has a greater area? 15.9 cm 11 cm 8 cm 9.6 cm submit
The green rectangular figure (with dimensions 15.9 cm and 8 cm) has a greater area.
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willhite_k geometry a_section 1_fall 25/26 / unit 5 - triangle properti…
C. vertex (assuming the options are labeled with C for vertex; if the original options have labels like A, B, C, D, we need to check the original labels. From the options given, t…
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which figure has a greater area? 10.9 ft 17 ft 17.5 ft 18.9 ft submit
The pink rectangle (with length 18.9 ft and width 17.5 ft) has a greater area.
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a midsegment is a segment that extends from the midpoint of one side to…
B. midpoint
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what is the area? write your answer as a fraction or as a whole or mixe…
\(\frac{8}{9}\)
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what is the missing length? image of a parallelogram with height 5 cm, …
9
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the segment that extends from the vertex of a triangle to the ____ side…
A. opposite (assuming the first option is labeled A, but since options are given as radio buttons with "opposite" as first, the answer is the option with "opposite") ### Second Qu…
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what is the area of this square? 18 in square inches
324
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what is the area? image of a parallelogram with base 16 m and height 16…
256
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a square has sides of length 15 yards. what is the area? square square …
225
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5. choose the correct answer. p is the circumcenter of $\\triangle def$…
46 mm (the option with 46 mm)
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4. choose the correct answer. the ____ is the point of intersection of …
C. circumcenter
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2 choose the correct answer. the point of intersection of the angle bis…
B. incenter ### Question 3
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a rectangle has an area of 360 square meters and a height of 20 meters.…
18
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1. choose the correct answer given: △mno; segment nq is perpendicular t…
2.5 cm
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a rectangle has a base of 7 miles and a height of 7.3 miles. what is th…
\( 51.1 \)
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what is the area? 12.7 km 13.8 km square kilometers submit
175.26
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9. choose the correct answer. apply the 30°-60°-90° triangle theorem to…
17 cm (the first option, assuming the options are labeled as: first option 17 cm, etc.)
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what is the area? write your answer as a fraction or as a whole or mixe…
\(\frac{1}{16}\)
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a parallelogram has an area of 216 square miles and a base of 18 miles.…
12
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apply the 45°-45°-90° triangle theorem to find the length of a leg of a…
First Question: B. 5 cm Second Question: B. 10 cm
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what is the area? write your answer as a fraction or as a whole or mixe…
\( 11\frac{1}{2} \)
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apply the 45°-45°-90° triangle theorem to find the length of a leg of a…
(First Sub - Question): 7 cm
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what is the area of this square? 7 cm blank square centimeters submit
49
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what is the area? 8 mm 6 mm square millimeters submit
48
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what is the area? image of a parallelogram with height 5 km and base 8 …
40
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what is the area of this square? 8 mi square miles
64
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4. choose the correct answer. a = 3 cm, b = 7 cm, c = 7.4 cm the triang…
acute (the option corresponding to "acute")
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3. choose the correct answer. a = 3.5 cm, b = √18 cm, c = 6 cm the tria…
obtuse
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1. choose the correct answer. a pythagorean triple is a a set of three …
nonzero (the option labeled "nonzero") ### Question 2
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1) match. the 45°-45°-90° triangle theorem states that in a 45°-45°-90°…
First blank: b. congruent; Second blank: a. \(\sqrt{2}\)
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2) match. the 30°-60°-90° triangle theorem states that in a 30°-60°-90°…
First blank: c. twice; Second blank: b. \(\boldsymbol{\sqrt{3}}\) ### 3)
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question what is the volume of a sphere with a radius of 49.5 in, round…
\(508018.6\)
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4) choose the best answer. apply the 45°-45°-90° triangle theorem to fi…
\(5\sqrt{2}\) inches (the option with \(5\sqrt{2}\) inches) ### Question 5
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6) choose the best answer. apply the 45°-45°-90° triangle theorem to fi…
10 in (the fourth option) ### Question 7:
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8) choose the best answer. apply the 30°-60°-90° triangle theorem. if t…
\(\approx 7\) inches ### Problem 9
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question what is the volume of a hemisphere with a diameter of 51 m, ro…
\( 34735.2\)
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1) choose the correct answer. the converse of the pythagorean theorem s…
D. right
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2) match the correct answer. the pythagorean inequality theorem says th…
(Question 2): First dropdown: acute triangle; Second dropdown: obtuse triangle.
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question what is the volume of a cylinder with a height of 16.5 m and a…
\(4118.5\space m^{3}\)
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4) choose the correct answer. triangle def with de = 6 cm, ef = 3 cm, d…
obtuse
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5) choose the correct answer. image of triangle with vertices c, b, a; …
right (The triangle is a right triangle because \(16^{2}+63^{2}=65^{2}\) which satisfies the Pythagorean theorem for a right triangle.)
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6) choose the correct answer. image of a triangle with sides √12.96 cm,…
acute (the option corresponding to "acute")
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10 is △ ham ~ △ ste? if so, identify the similarity postulate or theore…
B. Similar - SSS
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16. match the correct answers. gi ≅ jl, gh ≅ jk, and ∠g > ∠j according …
Left Dropdown: a. \( HI \), Right Dropdown: d. \( KL \)
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question what is the volume of a hemisphere with a diameter of 3.8 in, …
\(14.4\)
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david drew △ pqr and △ stu so that ∠ p ≅ ∠ s, pr = 12, su = 3, pq = 20,…
C. Similar - SAS
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question find the volume of a right circular cone that has a height of …
\(417.5\) cubic feet
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17. match the correct answers. image of two triangles, labeled a, b, c …
First dropdown: d. \( \angle C \), Second dropdown: b. \( \angle F \)
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is △abc ~ △xyz? if so, identify the similarity postulate or theorem tha…
B. Similar - AA
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16. choose the correct answer. 1. 5 cm 2. 6 cm 3. 7 cm the set of line …
does (the option "does")
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find the circumference and area of each circle. use 3.14 for pi. 7. 8.
- **Problem 7**: Circumference = \( 50.24 \) ft, Area = \( 200.96 \) sq ft - **Problem 8**: Circumference = \( 31.4 \) m, Area = \( 78.5 \) sq m
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15. choose the correct answer. 1. 2. 3. the set of line segments ____ m…
does
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find the circumference and area of each circle. use 3.14 for pi 7 6 fin…
For semicircle 9: Perimeter \( P = 32.125 \) units, Area \( A=61.328125 \) square units. For semicircle 10: Perimeter \( P = 25.7 \) mm, Area \( A = 39.25 \) square mm.
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14. order the angles of △ghi from smallest to largest. (image of triang…
b. \( \angle I \), c. \( \angle G \), a. \( \angle H \)
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13. order the sides of δdef from shortest to longest. a. de b. df c. ef
EF, DF, DE
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7 a) how did the scale factor of 4 change the area of the rectangle? or…
7a) The area is multiplied by \( 4^2 = 16 \) (if original area is \( A \), new area is \( 16A \); from the table, \( 4.5 \times 16 = 72 \), but the table has 18—maybe a typo, but …
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12. choose the correct answer. an indirect proof is an argument that be…
C. contradiction
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find the surface area of a square pyramid with side length 2 cm and sla…
\(16\) \(cm^{2}\)
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5. given \\( \\csc \\theta = \\frac{8}{5} \\) and \\( \\cot \\theta > 0…
### For $\boldsymbol{\csc\theta=\frac{8}{5},\cot\theta>0}$: $\sin\theta=\boldsymbol{\frac{5}{8}}$, $\cos\theta=\boldsymbol{\frac{\sqrt{39}}{8}}$, $\tan\theta=\boldsymbol{\frac{5\s…
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find the surface area of the rectangular prism. (image of a rectangular…
\(42\space m^{2}\)
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7 is △ tag ~ △ bag? if so, identify the similarity postulate or theorem…
A. Similar - AA
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6 is $\\triangle abc \\sim \\triangle def$? if so, identify the similar…
B. Similar - SAS
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question find the area of the regular triangle. the figure has a perime…
\(412.83\)
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question a cone with a height of 15 yards has a volume of 475.17 ( yd^3…
\(r = 5.5\ yd\), \(d = 11\ yd\)
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kira drew △ pqr and △ stu so that ∠ p ≅ ∠ s, ∠ q ≅ ∠ t, pr = 12, and su…
D. Similar - SAS
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3. choose the correct answer. \\(\\overline{df}, \\overline{ef}\\), and…
midsegment triangle
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this is the only question in this section. question find the perimeter …
Length of one side=\(26.5\) yards. Perimeter of the square=\(106\) yards.
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2. choose the correct answer. $overline{df}$, $overline{ef}$, and $over…
3 cm (the option with 3 cm, i.e., the last option: 3 cm)
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is △ pqr ~ △ xyz? if so, name which similarity postulate or theorem app…
C. Similar - SAS
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find the area of the regular polygon. 6.2 mm 9 mm
\(139.5\) \(mm^{2}\)
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which three - dimensional object is formed when the shape is rotated ab…
sphere
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what is the length of \\(\\overline{de}\\) ? there are two triangles. t…
B. 6
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1. choose the correct answer. a(n) ____ is a segment that extends from …
B. midsegment
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find the area of the regular polygon. round to the nearest hundredths. …
\(779.40\) in²
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1 is △ xyz ~ △ abc? if so, name which similarity postulate or theorem a…
C. Similar - AA
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question find the area of the regular polygon. round to the nearest hun…
\(331.20\) yd²
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which shape best describes the object generated when the half circle is…
solid sphere
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find the area of the regular polygon. round to the nearest hundredths. …
\(124.95\) square feet
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prove ( mangle 2 > mangle 1 ) - the original conjecture is that ( mangl…
1. a. \( m\angle2 \geq m\angle1 \) 2. c. Reflexive 3. h. SAS 4. g. \( \overline{RU} \) 5. d. \( RU \)
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find the volume of the figure below. 21 km 15 km 19 km 9 km answer atte…
Volume of rectangular Pyramid = \(252\space km^{3}\) Volume of Triangular Prism = \(1417.5\space km^{3}\) Total Volume = \(1669.5\space km^{3}\)
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Question was provided via image upload.
Left dropdown: a. \(m\angle J\), Right dropdown: c. \(m\angle G\) (so \(m\angle J > m\angle G\))
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5) match the correct answer. triangle mon with o to n and m to o marked…
First dropdown: b. \( MN \) Second dropdown: a. \( PQ \)
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4) match the correct answer. ac ≅ de, bc ≅ ef, m∠e > m∠c according to t…
Left dropdown: c. \(DF\) Right dropdown: b. \(AB\)
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now it’s time to practice on your own what is the volume of the object …
\( 343\pi \)
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find the surface area of the figure. round to the nearest hundredths wh…
\(724.69\) in².
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now it’s time to practice on your own what is the volume of the object …
$256\pi$
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now it’s time to practice on your own what is the volume of the object …
\( 42\pi \)
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1) match the correct answer. the hinge theorem states that if two sides…
1) First blank: congruent; Second blank: congruent; Third blank: larger 2) First blank: longer; Second blank: included; Third blank: congruent; Fourth blank: congruent
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prove fe + de > df statements 1. δdef 2. draw auxiliary lines eg and dg…
For each line: 3. d. Segment 5. f. Def. \( \cong \) angles 6. e. Angle addition 8. h. Transitive Property of Substitution 10. c. Substitution Property 11. b. Substitution (If focu…
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28) choose the correct answer. 1. 3in 2. 1.5in 3. 4in the set of line s…
does
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27) choose the correct answer. 1. 6 cm 2. 9.5 cm 3. 2.5 cm the set of l…
does not
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question find the volume of the figure. round to the hundredths when ne…
\(1187.42\) cubic inches
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26) matching. 1. 35 mm 2. 17 mm 3. 20 mm to form a triangle, the sum of…
First blank: greater Second blank: (1, 2, 3) or "17 mm, 20 mm, 35 mm" (depending on the options, but based on the segments given, the three segments together satisfy the triangle …
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25) matching. order the angles of \\( \\triangle def \\) from smallest …
Smallest: c. \( \angle D \), Middle: b. \( \angle F \), Largest: a. \( \angle E \) (So the order from smallest to largest is \( \angle D \), \( \angle F \), \( \angle E \))
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Question was provided via image upload.
\(\overline{BC}\), \(\overline{AB}\), \(\overline{AC}\) (or in terms of options: c. \(\overline{BC}\), b. \(\overline{AB}\), a. \(\overline{AC}\))
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• assume that $ac \\leq bc$, which means either $ac < bc$ or $ac = bc$ …
1. \( m\angle B = \boxed{90^\circ} \) (option d) 2. If \( AC < BC \), then \( m\angle \boxed{B} < m\angle \boxed{A} \) (options e, f) 3. Contradiction: \( \angle A \) is acute so …
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find the area of the figure. round to the nearest hundredths when neces…
\(205.4\) square - feet
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date ____ pd____ students were asked to create true statements about tr…
# Explanation: ## Step1: Analyze Laverna's Statement Laverna says triangle JKL was translated from quadrant I to III. Looking at the graph, the original triangle JKL is in quadran…
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alonzo does a weekly exercise program consisting of cardiovascular work…
The feasible region is the area bounded by \(x = 2\) to \(x = 9\), \(y = 3\) to \(y = 10\), and the line \(x + y=12\), within the rectangles \(0\leq x\leq9\) and \(0\leq y\leq10\)…