Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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uvwx ~ adcb. find cd and uv. write your answers as decimals or whole nu…
$CD = 48$, $UV = 1.5$
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a cylinder fits inside a square prism as shown. for every cross section…
\(\frac{\pi}{4}\) the volume of the prism or \(\frac{\pi}{4}(4r^{2})(h)\) or \(\pi r^{2}h\) (the last option among the given choices)
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the volume of a triangular prism is increased by a factor of 8. by what…
4
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enter the equation of a circle that is congruent to \\( \bigodot c \\) …
$(x+6)^2+(y-1)^2=9$
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draw a hexagon that has two right angles. draw a hexagon that has two a…
# Explanation for Drawing a Hexagon with Two Right Angles: ## Step1: Recall Hexagon Properties A hexagon has 6 sides and the sum of interior angles is \((6 - 2)\times180^{\circ}=7…
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fghij ~ edcba. find ab and bc. ab = bc =
$AB = 15$ $BC = 10$
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enter the equation of a circle that is congruent to \\(\\bigodot c\\) a…
$\boldsymbol{(x-5)^2+(y+5)^2=25}$
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$\\triangle xyz \\sim \\triangle igh$. what is $m\\angle g$? $m\\angle …
$35$
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name: scan here for a quick video review! 2-d shape homework due: frida…
1. D. Perpendicular lines 2. G. triangle 3. C. trapezoid 4. A. congruent 5. B. Parallel lines 6. I. Acute angle 7. K. quadrilateral 8. (Note: This definition matches a square, whi…
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the oblique pyramid has a square base. what is the volume of the pyrami…
\( 5 \, \text{cm}^3 \) (corresponding to the option "5 cm³")
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find the perimeter.
208 cm
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$\\triangle stu \\sim \\triangle rpq$. find $pq$ and $pr$.
$PQ = \frac{160}{3}$ $PR = 40$
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part c using the rise and run from part b, what is the slope of the lin…
To solve for the slope of a line using rise and run, we need the values of rise (change in \( y \), denoted as \( \Delta y \)) and run (change in \( x \), denoted as \( \Delta x \…
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pqrst ~ dcbae. what are ( mangle p ) and ( mangle b )?
$m\angle P = 84^\circ$ $m\angle B = 124^\circ$
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$\\triangle uvw \\sim \\triangle hgf$. find $fg$ and $fh$. $fg = \\squa…
$FG = 7$ $FH = 7$
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directions: classify the triangles as isosceles, scalene or equilateral…
1. Equilateral, Isosceles 2. Isosceles 3. Scalene 4. Isosceles --- Angle Classification: 1. Acute triangle 2. Acute triangle
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question 2 part a you can also find slope without looking at a graph. u…
### Part A #### Explanation: To find the rise and run between two points \((x_1, y_1)\) and \((x_2, y_2)\), the rise is the difference in the \(y\)-values and the run is the diffe…
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$\\triangle bcd \\sim \\triangle gih$. find $bd$. $bd = \\square$ submit
$12.5$
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defgh ~ yxwvz. find gh and dh. gh = \\boxed{ } dh = \\boxed{ }
$GH = 6$ $DH = 6$
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6.3.1. more triangle theorems 1. in △wxy, ( yl = 5 ), ( lx = 20 ), and …
Yes, \( \overline{JL} \parallel \overline{WY} \) because by the Converse of the Basic Proportionality Theorem (Thales' theorem), since \( \frac{WJ}{JX}=\frac{YL}{LX}=\frac{1}{4} \…
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2. find n. then find the area. perimeter = 86 in. 25 in. n
$n = 18$ in, Area = 450 square inches
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defg ~ yvwx. find vw and xy. vw = xy =
$VW = 7$ $XY = 10$
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what is the difference of the volumes of the two oblique pyramids, both…
1.2 \( \text{cm}^3 \) (corresponding to the option "1.2 \( \text{cm}^3 \)")
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a solid oblique pyramid has a regular pentagonal base. the base has an …
\(19\space\text{ft}^3\) (corresponding to the option with \(19\space\text{ft}^3\))
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uvwx ~ dcbe. find be and bc.
$BE = 22.5$ $BC = 33.75$
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$\\triangle hij \\sim \\triangle ced$. what is $m\\angle d$? $m\\angle …
$89$
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uvwx ~ qpsr. what is m∠p? m∠p = \\boxed{\\space}°
$57$
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7. the formula for the area a of a rectangle is $a = ell \times w$. the…
The length of the flower box is \( 4\frac{2}{3} \) inches. ### Part B: Perimeter of the front of the flower box
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$\\triangle bcd \\sim \\triangle vwx$. find $cd$.
4
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10. nathan plants equal - sized squares of sod in his front yard. each …
6000 square feet
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the area of a rectangle of width ( w ) is given by ( a = 5w^2 + w ). fa…
\(5w + 1\)
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pqrst ~ vuyxw. what is ( mangle y )? ( mangle y = square^circ )
$\boldsymbol{138}$
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which transformation would take figure a to figure b? answer a reflecti…
A reflection over the y - axis
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use the given information to prove that $\\angle 4 \\cong \\angle 3$. y…
Step 4 Statement: \( \angle 8 \cong \angle 4 \) Step 4 Reason: Alternate Interior Angles Theorem (because \( \overline{HJ} \parallel \overline{FG} \), and \( \overline{FB} \) is t…
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abcde ~ uqrst. find cd and de.
$CD = 20$ $DE = 20$
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point q is located at (3, -1) on the coordinate plane. point q is refle…
\((-3,-1)\)
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△wxy ~ △efd. what are m∠w and m∠d? m∠w = \\square° m∠d = \\square°
$m\angle W = 75^\circ$ $m\angle D = 48^\circ$
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what is the relationship between $\\angle a$ and $\\angle b$? choose 1 …
A. Vertical angles
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uvwx \\sim hgfi. find ux and uv.
$UX = 40.5$ $UV = 20.25$
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question point h is located at (1, -2) on the coordinate plane. point h…
\(H'(1,2)\)
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what mathematical term describes the relationship between a dilated obj…
A. Similar
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$\\triangle cde \\sim \\triangle xwy$. find $ce$ and $de$.
$CE = 1$ $DE = 1$
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question point m is located at (5, -1) on the coordinate plane. point m…
\((-5, - 1)\)
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$\\triangle ijk \\sim \\triangle qrs$. find $ij$.
36
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△uvw ~ △cdb. what is m∠w? m∠w = \\square° submit work it out not feelin…
$59^\circ$
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which category of transformations preserves the size and shape of the o…
B. Congruent Transformations D. Rigid Transformations
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the perimeter of a picture frame is 28 inches. if the width of the pict…
The length of the picture frame is 8 inches.
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point c is located at (3, -6) on the coordinate plane. point c is refle…
\(C'(-3,-6)\)
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$\\triangle qrs \\sim \\triangle fde$. find $qr$. $qr = \\square$
$QR = 3$
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which type of transformation changes the size of an object while preser…
Dilation
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point d is located at (3, -4) on the coordinate plane. point d is refle…
\(D'(-3,-4)\)
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what transformation involves turning an object around a fixed point? ro…
Rotation
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$\\triangle bcd \\sim \\triangle hij$. what is $m\\angle i$? $m\\angle …
$53$
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what is the line called over which an object is flipped during a reflec…
Line of reflection
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which transformation creates a mirror image of an object across a line?…
Reflection
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△opq and △rpn are shown below. which statement is true? △opq is similar…
$\triangle OPQ$ is similar to $\triangle RPN$.
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△abc and △def are shown below. which statement is true? △abc is similar…
△ABC is similar to △DEF.
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two triangular prisms are similar. the perimeter of each face of one pr…
The surface area of the larger prism is 4 times the surface area of the smaller prism. (Corresponding to the option: The surface area of the larger prism is 4 times the surface ar…
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△rst and △uvw are shown below. which statement is true? △rst is similar…
$\triangle RST$ is similar to $\triangle UVW$.
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the base of a solid right pyramid is a regular hexagon with a radius of…
\( 6x^{2}\sqrt{3} \) units\(^{2}\) (corresponding to the option: \( 6x^{2}\sqrt{3} \) units\(^{2}\))
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△mno and △opq are shown below. which statement is true? △mno is similar…
$\triangle MNO$ is similar to $\triangle OPQ$.
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find the distance between the points a and b given below. (that is, fin…
4.47
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what type of transformation involves sliding an object without changing…
B. Translation
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△klm and △nop are shown below. which statement is true? △klm is similar…
There is not enough information to determine whether the triangles are similar.
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△ceg and △def are shown below. which statement is true? △ceg is similar…
$\triangle CEG$ is not similar to $\triangle DEF$.
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transformations translation reflection rotation start 0:00 multiple cho…
Trigonometry, calculus
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to perform a rotation, what two pieces of information are necessary? - …
Center and angle of rotation
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an oblique cylinder is shown. which represents the volume of the cylind…
\( 300\pi \) (corresponding to the option "300π")
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en este problema usarás una regla para estimar la longitud de \\(\\over…
\( 5 \) (The answer may vary depending on the actual measurement, but 5 is a common estimate for a 3 - 4 - 5 right - triangle hypotenuse)
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a solid right pyramid has a regular hexagonal base with an area of 5.2 …
\(\boldsymbol{\frac{1}{3}(5.2)h\space cm^{3}}\) (the third option: \(\frac{1}{3}(5.2)h\space cm^{3}\))
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1 based on the passage, what is the most likely difference between perr…
A. The Grimms’ version is more violent. ### Question 2
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△cde and △fgh are shown below. which statement is true? △cde is similar…
$\triangle CDE$ is similar to $\triangle FGH$.
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a decorative tile is in the shape of a square. it is made up of a small…
The total area of the decorative tile is \( \boldsymbol{b^2 + 16b + 64} \) square centimeters.
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2. give the ratios for the corresponding sides of the given triangles. …
The ratios of corresponding sides are $\frac{22}{11}=2$, $\frac{32}{16}=2$, $\frac{34}{17}=2$. The triangles are similar because the ratios of their corresponding sides are equal …
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fghij ~ wvutx. find hi and ij.
$HI = 1$, $IJ = 4$
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angles a and b are complementary. what is the value of x? (x+22)° a b x…
34
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justify congruence using rigid transformations is $\\triangle abc \\con…
$X'(1, 2)$ $Y'(0, -2)$ $Z'(3, -4)$ Additionally, after this reflection, a translation (shift left 4 units, up 2 units for $X'$ to map to $A(-3,4)$, matching the other vertices) wi…
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bcde ~ vstu. what are m∠e and m∠v? d 47° c e 60° b s 125° v 128° u t m∠…
$m\angle E = 128^\circ$, $m\angle V = 125^\circ$
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bcde ~ vstu. what are m∠e and m∠v? d 47° c e 60° b s 125° 128° u t m∠e …
$m\angle E = 128^\circ$, $m\angle V = 127^\circ$
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angles 1 and 2 form a right angle. which word describes their measures?…
complementary (the option corresponding to "complementary")
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tuvwx ~ edcba. find cd.
2
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tuvwx ~ edcba. find cd. cd = \\boxed{}
2
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right triangle dfr is shown, where fd = 3 and rd = 4. select all the tr…
B. \( \sin(\angle FRD)=\frac{3}{5} \) C. \( \cos(\angle FRD)=\frac{4}{5} \) D. \( \tan(\angle FRD)=\frac{3}{4} \)
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tuvwx ~ edcba. find cd.
2
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unit activity: right triangles and trigonometry part a is △abc a right …
Part A: Yes, $\triangle ABC$ is a right triangle. Its side lengths satisfy the Pythagorean theorem: $5^2 + 12^2 = 13^2$, so it is a right triangle with the right angle at $B$. Par…
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rstuv ~ jihgf. find fg. fg = \\square
18
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rstuv ~ jihgf. find fg. fg = submit
$\frac{1}{2}$
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in the figure, $\\angle rqs \\cong \\angle qlk$. what is the value of $…
108
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7.5.8 check your understanding right triangle sbg is shown, where gs = …
- \( \boldsymbol{\cos (\angle GSB) = \frac{12}{13}} \) (True) - \( \boldsymbol{\sin(\angle GSB) = \frac{5}{13}} \) (True) - \( \boldsymbol{\tan(\angle GSB) = \frac{5}{12}} \) (Tru…
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given: ∠1 is complementary to ∠2. ∠2 is complementary to ∠3. prove: ( m…
\( m\angle 1 + m\angle 2 = 90^\circ \) (the second option: \( m\angle 1 + m\angle 2 = 90^\circ \))
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angle acd is supplementary to angles ace and bcd and congruent to angle…
B. Angle BCE is supplementary to angle ACE, C. Angle BCD is supplementary to angle BCE, E. Angle BCD is congruent to angle ACE
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2. slide the slider slowly all the way to the right and adjust the valu…
s: #### Question 2 By sliding the slider and observing, you will find that the angle bisector \(BD\) divides \(\angle ABC\) into two equal - sized angles. Repeating the process co…
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4. david es ____ de lorena. nieto esposo primo padre
The correct option is the one with "esposo", so: The option with the blue circle (the third option from the left, labeled "esposo"). In terms of the options as listed: The correct…
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what is the volume of this cylinder? 3 ft. 3.5 ft. round your answer to…
99
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what is the correct equation to use to solve for x? 33+7x+5=180; -7x=33…
$33 + 7x + 5 = 180$
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20. santiago es primo de ______. mario daniela david casandra
Mario (the option with the blue - filled circle, corresponding to "Mario")
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if lines are parallel, then alternate interior angles are complementary…
congruent
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two lines are intersected by a third line. if $\\angle 2 \\cong \\angle…
\( m\angle 2 = m\angle 8 \) (the third option: \( m\angle 2 = m\angle 8 \))
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name the angle relationship. vertical angles alternate interior consecu…
Vertical Angles
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draw in all lines of symmetry in the shape below. if there are no lines…
The shape has three lines of symmetry. Each line passes through the tip of one lobe and the mid - point of the opposite valley. (Since this is a digital drawing task, in the actua…