Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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(b) what is the coordinates of the point where the two lines intersect?
(3, - 2)
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which three - dimensional figure has nine edges? rectangular prism rect…
C. triangular prism
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the area of rectangle abde is 270 square inches. the rectangle is rotat…
a cylinder with a base radius of 9 inches
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2 (a) graph both equations on the same graph: equation #1: $y = -x + 1$…
The graph consists of two lines: one with slope - 1 and y - intercept 1 (passing through (0,1) and (1,0)) and another with slope \( \frac{1}{3} \) and y - intercept - 3 (passing t…
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(b) what is the solution?
The solution (x - intercept) is \((2, 0)\)
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the triangle shown is rotated about line m. what is the approximate bas…
113 sq. cm
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which three - dimensional figure has the greatest number of faces? hexa…
B. octagonal pyramid
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4. what is the value of x? round your answer to the nearest tenths.
10.4
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ivanna wants to paint a rectangular region of a wall with one layer of …
### (a) Completed Table: | | Width | Length | Perimeter | |----------|-------|--------|-----------| | Region #1 | 1 m | 16 m | 34 m | | Region #2 | 4 m | 4 m | 16 m | | Region #3 …
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quadrilateral abde is a rectangle. ab = 10 cm and ae = 16 cm. through w…
D. G and H
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donna wants to paint a rectangular region of a wall with one layer of p…
### (a) Completed Table: | | Width | Length | Area | |------------|-------|--------|------| | Region #1 | 3 ft | 7 ft | 21 ft² | | Region #2 | 5 ft | 5 ft | 25 ft² | | Region #3 |…
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two different cross sections are taken parallel to the base of a three …
A. cone D. triangular pyramid E. square pyramid
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what is the area of the trapezoid? 5 mi. 9 mi. 8 mi. 4 mi. square miles…
36
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identifying cross sections and finding area what is the type of two - d…
triangle; area \( = 90\space\text{ft}^2\)
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a thunder - storm by emily dickinson the wind began to rock the grass w…
The speaker compares the lightning to a bird (specifically its beak and claw). The lines making the comparison are: "The lightning showed a yellow beak, And then a liv[SSE onError…
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what is the area of the trapezoid? square feet
9 square feet
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right triangle jkl is shown. which trigonometric values are equal to \\…
$\sin(J)$, $\cos(K)$
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which solids have the same types of vertical cross sections through the…
a rectangular prism and a cylinder
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in circle w, m∠xwy = 20° and the length of \\(\\overarc{xy}\\) = \\(\\f…
The length of \( \overline{WX} \) is \( 6 \).
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creating three - dimensional solids rectangle abcd has a perimeter of 3…
Cylinder ### Part 2: Radius of the base
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find tu. write your answer as an integer or as a decimal rounded to the…
$6.1$
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rotating a rectangle through which points should a line of rotation be …
B. F and I
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deriving a tangent ratio for special triangles which statements are tru…
- \( \text{NM}=x \) (True) - \( \text{LM}=x\sqrt{2} \) (True) - \( \tan(45^{\circ}) = 1 \) (True)
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what is the area of the trapezoid? square yards
64
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what three - dimensional solid has 6 rectangular faces, 2 equal bases t…
hexagonal prism
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which solids can have horizontal cross sections that are circles? check…
A. cones, C. cylinders, E. spheres
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identify the triangle that contains an acute angle for which the sine a…
The triangle with vertices \(A\), \(B\), \(C\) (the second triangle) where \(\angle A = 45^{\circ}\), \(\angle B=45^{\circ}\), \(\angle C = 90^{\circ}\) (the isosceles right - tri…
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in δrst, r = 76 cm, s = 73 cm and ∠t = 155°. find the length of t, to t…
\( \boxed{145} \)
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point q was rotated about the origin (0, 0) by -165°. which point is th…
D. D
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identifying cross sections of solids use the diagram to answer the ques…
For the horizontal cross - section: Pentagon For the vertical cross - section through the apex: Triangle
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12. if jklm is a rhombus, find the following. mk = 24, jl = 20, and m∠m…
$NK = 12$ $NL = 10$ $ML = 13$ $JM = 13$ $m\angle KNL = 90^\circ$ $m\angle KJL = 50^\circ$ $m\angle MLK = 80^\circ$ $m\angle JKM = 50^\circ$ $m\angle JML = 80^\circ$
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point q was rotated by $-150^circ$ (the center of rotation is indicated…
B. B
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practice identifying three - dimensional solids and the two - dimension…
- The prism has 9 edges. - The bases of the prism are triangles. - The prism has 5 faces.
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6. the height of a triangle is 6 cm and the area of the triangle is 24 …
The length of the base of the triangle is \( 8\space cm \).
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consider $\\triangle$lnm. which statements are true for triangle lnm? c…
- The side opposite \( \angle L \) is \( \overline{NM} \). - The side opposite \( \angle N \) is \( \overline{ML} \). - The hypotenuse is \( \overline{LN} \).
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Question was provided via image upload.
$BC = 9$ $AB = \sqrt{403} \approx 20.07$ $BD = 22$ $EC = 11$ $m\angle ADC = 90^\circ$ $m\angle BAC = 24^\circ$ $m\angle CDB = 24^\circ$ $m\angle AEB = 132^\circ$
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what single transformation was applied to quadrilateral a to get quadri…
A. Translation
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use a quadratic function to model the area of the rectangle. graph the …
\( 3x^{2}+12x + 9 \)
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close reading circle positive words describing the watch. draw a box ar…
A. treasure ### "Show Your Thinking" Sub - Question
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(a) fill in the blanks. longest side length of the original figure: uni…
(a) Longest side length of the original figure: 4 units Longest side length of the final figure: 8 units (b) Longest side length of the final figure = $2$ × Longest side length of…
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(b) what is the coordinates of the point where the two lines intersect?…
\((3, 0)\)
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(b) what is the coordinates of the point where the two lines intersect?
(3, 0)
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in circle r, rs = 14 and the length of \\(\\overarc{st}\\) = 7\\(\\pi\\…
\( 90^\circ \)
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graph the line with slope $-dfrac{2}{3}$ passing through the point $(3,…
The line passes through points $(0,0)$, $(3,-2)$, and $(6,-4)$, forming a straight line with slope $-\frac{2}{3}$ on the coordinate plane.
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calculating the volume of a right hexagonal pyramid a right pyramid wit…
$\overline{WY}$ represents the height. The area of the regular hexagon base is $24\sqrt{3}$ square feet. The volume is $80\sqrt{3}$ cubic feet.
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the area of the parallelogram is 60 square millimeters. what is the par…
10
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lets say youre a dj at a school dance in the cafeteria. its 8:30 on a f…
interested
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the area of the parallelogram is 10 square feet. what is the parallelog…
2
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lets say youre a dj at a school dance in the cafeteria. its 8:30 on a f…
First blank: songs; Second blank: engaged (or entertained, lively - but based on the context of the DJ playing music, the key is that the DJ picks songs to keep the crowd into the…
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the area of the parallelogram is 20 square millimeters. what is the par…
\( h = 4 \) millimeters.
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what is the area of the parallelogram? 3.2 km 4.5 km 1 km square kilome…
4.5
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2. triangle wdx is shown where wd= 6 and dx= √34. a) use the pythagorea…
a) $WX = 8$ b) $\sin(\angle DWX)=\frac{\sqrt{34}}{8}$, $\cos(\angle DWX)=\frac{3}{4}$, $\tan(\angle DWX)=\frac{\sqrt{34}}{6}$
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what is the area of the parallelogram? 0.2 m 0.1 m 0.6 m square meters
\( 0.06 \) square meters
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each venn diagram has sets a, b, and the universal set u. (a) shade ( a…
(a) Shade the overlapping middle region of the two circles (the area that is inside both circle $A$ and circle $B$). (b) Shade the entire area of circle $A$, the entire area of ci…
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determine a series of transformations that would map figure r onto figu…
Reflection over the x-axis, followed by a horizontal translation 14 units to the right.
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what is the area of the parallelogram? 1.5 ft. 0.9 ft. 1 ft. square fee…
\( 1.35 \) square feet
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what is the area of the parallelogram? 0.5 cm 0.2 cm 0.5 cm square cent…
\( 0.1 \)
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area and perimeter: let’s build a pool! imagine you are designing a poo…
1. Area: $81$ m², Per.: $36$ m 2. Area: $60$ m², Per.: $32$ m 3. Area: $21$ m², Per.: $20$ m 4. Area: $36$ ft², Per.: $24$ ft 5. Area: $16$ ft², Per.: $16$ ft 6. Area: $300$ ft², …
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find the measure of an exterior angle of a regular dodecagon. the measu…
$30^\circ$
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what is the area of the parallelogram? 13 mi. 15 mi. 4 mi. square miles…
60
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the perimeter of a rectangle is 32 meters and the length is 6 meters lo…
Length of the rectangle = \( 11 \) m, Width of the rectangle = \( 5 \) m
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find the measures of an interior angle and an exterior angle of a regul…
The measure of an interior angle is \(108^\circ\), and the measure of an exterior angle is \(72^\circ\)
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find the missing angle measure. the measure of the missing angle is \\(…
95
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what is the area of the parallelogram? 9 cm 15 cm 16 cm square centimet…
135
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what is the area of the parallelogram? 6 mi. 5 mi. 7 mi. square miles s…
30
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what is the area of the parallelogram? 9 in. 9 in. 6 in. square inches …
54 square inches
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what is the area of the parallelogram? 10 yd. 6 yd. 9 yd. square yards …
60
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if each interior angle of a regular polygon measures 108°, how many sid…
5
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what is the area of the parallelogram? 10 mm 10 mm 5 mm 10 mm square mi…
50
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find the measure of one interior angle in the regular polygon. the meas…
$120$
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what is the area of the parallelogram? 7 in. 9 in. 7 in. square inches …
49
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the height of a cone is twice the radius of its base. what expression r…
$\frac{2}{3}\pi x^3$ (corresponding to the first option)
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the height of a cylinder is twice the radius of its base. what expressi…
$\boldsymbol{2\pi x^3}$ (corresponding to the second option)
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1. part a: using <w as the reference angle, what is the exact tangent r…
Part A: $\frac{VK}{WV}$ or $\frac{38.4+38.4}{32}$ Part B: The tangent ratios are equal.
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an oblique cone has a height equal to the diameter of the base. the vol…
3 units
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which angles are adjacent to $\\angle 7$? select all that apply.
The angles adjacent to \( \angle 7 \) are \( \angle 8 \) and \( \angle 6 \). So the correct options are: B. \( \angle 8 \) C. \( \angle 6 \) (Assuming the options are labeled as A…
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which angles are adjacent to each other? select all that apply. ∠3 and …
∠3 and ∠2, ∠5 and ∠6, ∠3 and ∠6 (Note: The pair ∠4 and ∠1 is not adjacent as they do not share a common side)
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what is an equation of the line that passes through the points (-6, -1)…
The equation of the line is \( y=\frac{1}{6}x \) (or \( x - 6y = 0 \))
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in the diagram below, write the ratio for cos p as a simplified fractio…
$\frac{2\sqrt{13}}{13}$
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for a project, carlos must provide one cut - out paper model of each ty…
# Explanation: ## Step1: Find area of right triangle (bottom - left) The right triangle has base \( b = 2 \) units (from \( x = 3 \) to \( x = 5 \)) and height \( h = 3 \) units (…
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determining the volume of a cone complete the statements about the cone…
The height is 6 units. The radius is 8 units. The volume is 128$\pi$ cubic units.
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determining true statements about the oblique cylinder the volume of th…
- The height of the cylinder is 3.4 ft. - The diameter of the cylinder is about 3 ft. - A right cylinder with the same height and radius as this oblique cylinder would also have a…
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an equilateral triangle has an apothem measuring 2.16 cm and a perimete…
24.2 cm²
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culating the volume of an oblique cone what is the volume of the obliqu…
142.4 cubic units
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figure abcd is a parallelogram. two trapezoids are created using line s…
A. Each area is equal to half of the area of \(ABCD\)
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practice solving problems involving the volume of cylinders, cones, and…
$V = 288\pi$ in.$^3$
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line a passes through the points (6, 1) and (-4, 6). line b passes thro…
Line A intersects line B at exactly one point.
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noah is working on a geometry problem that involves finding the volume …
No, Noah used the diameter instead of the radius in the calculations.
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10. circle the irrational number in the list below. $7.overline{27}$ $\…
The irrational number is \( \sqrt{15} \), so we circle \( \boldsymbol{\sqrt{15}} \).
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c) if vwxy is a kite, vy = 37, xv = 24, and wz = 10, find wy.
$WY = 50$
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jack wants to model a situation where the perimeter of the rectangle to…
A. Yes. An absolute value equation will work to model the ± 1.5 ft in the measurement of the perimeter.
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which statements are true? check all that apply. the radius of the cone…
- The radius of the cone is 9 units. - The height of the cone is 12 units. - The volume of the cone is represented by the expression $\frac{1}{3}\pi(9)^2(12)$.
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how many degrees is \\(\frac{11pi}{6}\\) radians?
$330^\circ$
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5 fill in the blank 2 points solve for the variable. leave your answer …
$\boldsymbol{\frac{10\sqrt{15}}{3}}$
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on an analog clock, what is the measure of the minor arc between 6:00 a…
\(\boxed{\dfrac{\pi}{2}}\)
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the trapezoid pqrs is a dilation of the trapezoid pqrs. what is the sca…
2
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specification cards card set 1 a. angles 40°, 50°, 90° no side lengths …
Card C cannot form a triangle because $4 + 5 < 10$, violating the triangle inequality theorem.
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the trapezoid cdef is a dilation of the trapezoid cdef. what is the sca…
\( \frac{3}{2} \)
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1. a partially completed chart shows the hierarchy of a set of polygons…
1. Polygon Hierarchy Completion: 3. Parallelogram 4. Rectangle 5. Rhombus 6. Square 2. Angle Proof Completion: | Statements | Reasons | |------------|---------| | 1. $a \parallel …
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word bank: triangle angle sum theorem, congruent, unique, triangle ineq…
1. Triangle Inequality Theorem 2. Included Side 3. Unique 4. Triangle Angle Sum Theorem 5. Congruent