Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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19. find x if m∠uvy = 6x - 8, m∠uyw = 95°, and m∠ywv = 6x + 7. remember…
$x = 8$
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write the standard form of the equation and the general form of the equ…
The standard form of the equation of the circle is $(x + 6)^2+(y - 8)^2=100$. The general form of the equation of the circle is $x^2+y^2+12x-16y=0$.
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reflect the figure over the line x = 5. plot all of the points of the r…
Plot the new points obtained by using the transformation $(x,y)\to(10 - x,y)$ for each point of the original figure.
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write the standard form of the equation and the general form of the equ…
\(x^{2}+y^{2}+12x - 16y=0\)
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q 33) write a mathematical expression and solve. the area of a rectangl…
15 feet
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write the standard form of the equation and the general form of the equ…
$(x + 6)^2+(y - 8)^2=100$
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make a conjecture about the diagram below. do you think you can conclud…
We cannot conclude that \(\triangle JKL\cong\triangle XYZ\) because there is not enough information to satisfy any of the triangle congruence postulates.
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write the standard form of the equation and the general form of the equ…
$x^{2}+y^{2}-4y = 0$
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write the standard form of the equation and the general form of the equ…
$x^{2}+(y - 2)^{2}=4$
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the width of a rectangle measures (s + 5t) centimeters, and its length …
$14t + 4s$
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4. * $overline{bf}perpoverline{ac}$ $angle fbc:$ ________ $angle ebf:$ …
right, acute, obtuse
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write the standard form of the equation and the general form of the equ…
Standard form: $x^{2}+y^{2}=16$ General form: $x^{2}+y^{2}-16 = 0$
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a triangle has side lengths of (7r - 10) centimeters, (5r + 5) centimet…
A. $3 + s + 12r$
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2. if (mangle ebd = 36^{circ}) and (mangle dbc = 108^{circ}), find (man…
$144^{\circ}$
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prof. christopher m. kuipers engl 354 classical lit. in translation iup…
1. masterpiece 2. descriptions 3. elaborate designs 4. the image of war 5. alive 6. the universe 7. contrast 8. pastoral 9. aspects 10. boundary
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the width of a rectangle measures (10p - 9q) centimeters, and its lengt…
$-2q + 34p$
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the width of a rectangle measures (9v - 3) centimeters and its length m…
$14 + 38v$
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1.3 intro to angles - 2025 - 2026 name an angle bisector. • $overline{b…
ray \(BD\)
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the width of a rectangle measures (t - 9u) centimeters, and its length …
$-26u + 10t$
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the width of a rectangle measures (9r + 4s) centimeters, and its length…
$26r + 24s$
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problem 14: (first taught in lesson 24) from this diagram, select the p…
A. $\ell\parallel m$
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the width of a rectangle measures (3u + 4v) centimeters, and its length…
$12v + 22u$
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problem 15: find the measures of the angles of a right triangle with on…
45, 45, 90
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problem 13: (first taught in lesson 23) from this diagram, select the p…
C. $\ell\parallel m$
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if a circle has a radius r and an inscribed regular hexagon, what is th…
1. a. \(P = 6r\) 2. b. All vertices lie on the circle and all sides are equal. 3. a. To ensure all sides of the triangle are equal to the radius of the circle 4. c. It serves the …
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problem 16: (first taught in lesson 30) find the measures of the angles…
The angle measures are $x = 108^{\circ}$, $\frac{1}{2}x=54^{\circ}$, $\frac{1}{6}x = 18^{\circ}$. It is an obtuse - angled triangle.
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the vertices of △abc are a(-1, 1), b(4,2), and c(1,5). the vertices of …
\(x\) - axis
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find a polynomial that represents the perimeter of the rectangle. perim…
$8x^{2}+6x + 28$
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problem 17: find x and y. (first taught in lesson 18) after you enter y…
$x = 36$, $y = 72$
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4) solve: a) -9x - 4 = 2 b) $\frac{x - 4}{5}=\frac{-3}{7}$ 5) which the…
$x =-\frac{2}{3}$ ### b)
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problem 17: (first taught in lesson 18) find x and y. after you enter y…
$x = 36$, $y = 72$
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how do you find the vertices of a regular polygon inscribed in a circle…
1. c. By dividing the circle into equal arcs using the central angles 2. c. To split angles into two equal parts 3. a. Triangle 4. b. Bridge construction 5. c. Circle 6. b. By con…
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find the coordinates of the figure with the given coordinates after the…
$D(3,-1)$ $E(1,-1)$ $F(1,-4)$
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problem 18: (first taught in lesson 30) if $ell_1parallelell_2$, find $…
$x = 150$
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problem 19: (first taught in lesson 31) find x + y. after you enter you…
$130$
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(d) problem 20: (first taught in lesson 31) if ℓ || m, and de bisects ∠…
$65$
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triangle jkl is transformed using the rule $r_{0,90^{circ}}circ r_{y = …
$(4,-7)$
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(d) problem 20: (first taught in lesson 31) if ℓ || m, and de bisects ∠…
$65$
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problem 21 the measure of an angle is 22 greater than its complement. f…
$56$
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which rule describes the composition of transformations that maps △bcd …
$r_{y = - x}\circ T_{5,-6}(x,y)$
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find the center and radius of the circle. write the standard form of th…
\((5.5,3)\)
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problem 22: two angles are supplementary. twice the measure of the firs…
63, 117
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figure wxyz is transformed using the rule $r_{y - axis}circ t_{-4,2}(x,…
$(3,8)$
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the tool used in geogebra to draw straight lines and segments is the to…
1. Line 2. regular 3. circumference 4. acute 5. inscribed 6. radii 7. Measure 8. Reflect
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parallelogram fghj is the final image after the rule $r_{y - axis}circ …
$(-3,4)$
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use any theorems, postulates, or properties to solve for x. 9) 10) 12x …
For 9), $x = 7$; for 10), $x = 9$
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use any theorems, postulates, or properties to complete the angles and …
For 7: $36^{\circ}$ For 8: $55^{\circ}$
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choose the equation of a circle with radius 6 and center (3, - 4). choo…
C. $(x - 3)^2+(y + 4)^2=36$
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given: $overline{hl}perpoverline{gi}$, $overline{jk}perpoverline{gi}$, …
1. Since $\overline{HL}\perp\overline{GI}$ and $\overline{JK}\perp\overline{GI}$, $\angle HLG = \angle JKI=90^{\circ}$ (Definition of perpendicular lines). 2. Given $GH = JI$ and …
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find the value of x. 5) 23° (3x + 1)° 6) (x + 9)° (6x + 5)°
For the first diagram: $x=\frac{22}{3}$; For the second diagram: $x=\frac{6}{5}$
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what is the final transformation in the composition of transformations …
a 180° rotation about point B'
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given: $overline{hl}perpoverline{gi}$, $overline{jk}perpoverline{gi}$, …
1. $\overline{HL}\perp\overline{GI},\overline{JK}\perp\overline{GI}, GH = JI, GK = LI$ 2. $\angle GLH=\angle IKJ = 90^{\circ}$ (Perpendicular lines intersect to form right - angle…
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which rule describes the composition of transformations that maps δabc …
$r_m\circ R_{B',90^{\circ}}$
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the ratio of the volumes of two similar solid polyhedra is equal to the…
B. False
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question 9 of 10 the two prisms below are similar. what is the value of…
A. 5
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what is the final transformation in the composition of transformations …
a reflection across line m
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the two solids are similar, and the ratio between the lengths of their …
B. 4:81
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find the exact area of the rectangle. area = enter your next step here …
$5\sqrt{2}$
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the rule $t_{5, - 0.5}circ r_{0,180^{circ}}(x,y)$ is applied to $\trian…
$(4,-1.5)$
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question 7 of 10 the ratio of surface areas of two similar polyhedra is…
B. False
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which rule describes the composition of transformations that maps pre -…
$T_{-6,1}\circ r_{x - axis}(x,y)$
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all spheres are similar. a. true b. false
A. True
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which rule describes the composition of transformations that maps figur…
$R_{S',270^{\circ}}\circ R_{Q,180^{\circ}}$
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given: $overline{vu}paralleloverline{qr}$, $overline{vt}paralleloverlin…
Since $\overline{VU}\parallel\overline{QR}$ and $\overline{VT}\parallel\overline{RS}$, we can use the properties of parallel - lines to find angle - equalities. Also, given $QT = …
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question 5 of 10 if the ratio between the radii of the two spheres is 3…
A. 27:125
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question 4 of 10 if two pyramids are similar and the ratio between the …
C. 8:343
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find the volume of this object. use 3 for π. volume of a cylinder v = π…
$504$
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question 3 of 10 if two cylinders are similar and the ratio between the…
D. 8:125
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given: $overline{vu}paralleloverline{qr}$, $overline{vt}paralleloverlin…
4. Given; 5. Substitution Property of Equality
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the two solids below are similar, and the ratio between the lengths of …
D. 9:25
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find the volume of this object. use 3 for π. volume of a cylinder v = π…
68 in³
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which rule describes the composition of transformations that maps △jkl …
$R_{0,90^{\circ}}\circ T_{0,-2}(x,y)$
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question 1 of 10 the two cones below are similar. what is the height of…
D. $\frac{15}{7}$
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given: $overline{vu}paralleloverline{qr}$, $overline{vt}paralleloverlin…
2. **Reason**: If two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overline{VU}\parallel\overline{QR}$, $\angle U$ and $\angle Q$ ar…
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figure s is the result of a transformation on figure r. which transform…
A 90 - degree clockwise rotation about the origin.
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the rule r_y - axis ∘ r_0, 90°(x, y) is applied to δabc. which triangle…
(Without seeing the specific coordinates of $\triangle ABC$ and detailed properties of triangles 1 - 4, we can't give a definite choice. But the general way to solve is as above. …
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(b) problem 12: (first taught in lesson 35) from this given statement, …
Hypotenuse - Leg (HL) Theorem
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question 10 of 10 which expression gives the surface area of a sphere w…
A. $4\pi r^{2}$
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find the volume of this object. use 3 for $pi$. volume of a cylinder v …
366 in³
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answer a rotation 90° clockwise about the origin a rotation 90° counter…
A reflection over the $y$-axis
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figure c is the result of a transformation on figure b. which transform…
A reflection over the y - axis.
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what is the surface area of a sphere with a radius of 9 units? a. 576π …
D. $324\pi$ units$^{2}$
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answer a translation 4 units left and 3 units up a translation 3 units …
A translation 4 units right and 3 units down
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figure q is the result of a transformation on figure p. which transform…
Reflection across the x - axis
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question 8 of 10 what is the surface area of the sphere below? a. 64π u…
A. $64\pi$ units$^{2}$
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the rule $r_{y = x}circ t_{4,0}(x,y)$ is applied to trapezoid abcd to p…
A. (-1, 0) F. (7, -5)
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figure q is the result of a transformation on figure p. which transform…
A reflection over the x - axis.
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from this given statement, select the definition, property, postulate, …
Addition Property of Equality
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problem 9: (first taught in lesson 32) given △rqy ≅ △rty, answer this q…
$\overline{RY}$
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what is the volume of a sphere with a radius of 21 units? a. 9261π unit…
B. $12,348\pi$ units$^{3}$
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problem 8: (first taught in lesson 32) given △rqy≅△rty, answer this que…
$\angle TYR$
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what is the volume of the sphere below? a. 12π units³ b. 81π units³ c. …
D. $36\pi$ units$^{3}$
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problem 7: (first taught in lesson 32) given △rqy≅△rty, answer this que…
$\overline{TR}$
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determine a series of transformations that would map figure g onto figu…
A translation 15 units to the right and 10 units up.
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what is the volume of a sphere with a radius of 12 units? a. 144π units…
B. $2304\pi$ units$^{3}$
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find the volume of this object. use 3 for π. volume of a cylinder v = π…
$736$ $cm^{3}$
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determine a series of transformations that would map figure r onto figu…
Reflect Figure R over the y - axis and then translate it 10 units down.
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what is the surface area of a sphere with a radius of 12 units? a. 144π…
C. $576\pi$ units$^{2}$
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problem 6: (first taught in lesson 29) complete this sentence with the …
B. acute
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determine a series of transformations that would map figure v onto figu…
A reflection over the x - axis followed by a translation 7 units to the right.