Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a circle has an arc of length 8 with central angle 6°. find the circumf…
$480$
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enter as an exact answer in terms of π, or as a decimal rounded to the …
$\frac{26}{1}\pi$ or $81.68$
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enter as an exact answer in terms of π, or as a decimal rounded to the …
$15\pi$ or $47.12$
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a circle with circumference 76 has an arc with a 90° angle. what is the…
19
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a circle with circumference 186 has an arc with a 60° angle. what is th…
31
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a circle with circumference 540 has an arc with a 10° angle. what is th…
15
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a circle with circumference 48 has an arc with a 30° angle. what is the…
4
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3. decide whether triangles abc and dec are similar. explain or show yo…
Triangles \(ABC\) and \(DEC\) are similar.
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find the perimeter of the composite figure, which is comprised of an is…
\( 43 \text{ cm} \)
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find the perimeter of the composite figure, which is comprised of an is…
\( 32\ \text{cm} \)
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solve for x in the triangle. round your answer to the nearest tenth. x =
\(x = 5.5\)
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find the area of the shaded segment of the circle. round your answer to…
$36.39\ \text{m}^2$
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write a paragraph proof of the following theorem if \\( \\angle n \\) a…
180, 180, 180, 90, 90
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use the pythagorean theorem to find z. draw show your work here hint: t…
6
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use the pythagorean theorem to find z. draw 6 10 z show your work here …
8
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use the pythagorean theorem to find z. draw show your work here hint: t…
12
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use the pythagorean theorem to find y. leave your answer as a simplifie…
$y = 12.04$
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use the pythagorean theorem to find y. leave your answer as a simplifie…
\( y = \sqrt{75} \approx 8.66 \)
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exit ticket seal the deal! $2 summary directions: · each word costs 10c…
Parallel lines are coplanar and never meet. Skew lines are non - coplanar and don't intersect.
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use the pythagorean theorem to find x. leave your answer as a simplifie…
$11.45$
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use the pythagorean theorem to find y. leave your answer as a simplifie…
$13.75$
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use the pythagorean theorem to find $x$. leave your answer as a simplif…
\(x = \sqrt{120} \approx 10.95\)
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use the pythagorean theorem to find z.
13
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use the pythagorean theorem to find z. draw 3 4 show your work here hin…
5
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use the pythagorean theorem to find z. draw show your work here hint: t…
17
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use the pythagorean theorem to find x. leave your answer as a simplifie…
\(x = \sqrt{269} \approx 16.40\)
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graph the image of kite abcd after a dilation with a scale factor of 4,…
The coordinates of the vertices of the dilated kite are \(A'(0,-8)\), \(B'(8,0)\), \(C'(0,4)\), \(D'(-8,0)\). Plot these points and connect them.
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use the pythagorean theorem to find y. leave your answer as a simplifie…
$y = \sqrt{181} \approx 13.45$
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use the pythagorean theorem to find y. leave your answer as a simplifie…
$y = \sqrt{481} \approx 21.93$
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use the pythagorean theorem to find y. leave your answer as a simplifie…
$y = 3\sqrt{41} \approx 19.21$
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graph the image of parallelogram cdef after a dilation with a scale fac…
Plot the points \(C'(-3,-3)\), \(D'(-3,-2)\), \(E'(3,3)\), \(F'(3,2)\) and connect them to form the dilated parallelogram.
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use the pythagorean theorem to find y. leave your answer as a simplifie…
\(y\approx11.40\)
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given the figure shown below, determine the length of a.
\(8\mathrm{in}\)
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find the area of the figure. the figure is not drawn to scale. draw 12 …
\(99\)
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graph the image of kite stuv after a dilation with a scale factor of 4,…
Plot the points \((0,-8)\), \((4,0)\), \((0,8)\), \((-4,0)\) and connect them to form the dilated kite.
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determina a área da figura. a figura não está desenhada à escala. draw …
\(61\)
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graph the image of rectangle rstu after a dilation with a scale factor …
The coordinates of the vertices of the dilated rectangle are \(U'(-2,1)\), \(T'(2,1)\), \(S'(2,-2)\), \(R'(-2,-2)\). Graph these points and connect them to get the image of rectan…
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4. a counterclockwise (ccw) rotation is a negative degrees is a positiv…
is a positive degrees
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determina a área da figura composta, que é um semicírculo sobre um retâ…
\(185.12\space cm^{2}\)
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determina a área da figura composta, que é um semicírculo sobre um retâ…
\(233.12\) \(cm^{2}\)
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conditions for triangle similarity 1. what is the length of segment df?…
\(13.5\)
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instructional video and concept summary: rotational transformations que…
CCW
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determina a área da figura composta, que é um semicírculo sobre um retâ…
\(102.28m^{2}\)
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26. select all that apply: what is the translation of \\( \\triangle a …
\(T_{2,7}\), \((x,y)\to(x + 2,y + 7)\)
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25. if the translation vector is <0,5>, what is the change in the x - c…
No change
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the triangle abc is a dilation of the triangle abc. what is the scale f…
\(\frac{4}{3}\)
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24. what is the result of translating the point (3, 2) using the rule $…
\((0,6)\)
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23. if point a is translated 4 units to the right and 2 units down, wha…
\((x + 4,y - 2)\) (the third option)
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11. if a point $(x,y)$ is translated 5 units right and 4 units up, what…
\((x + 5,y+4)\) (the first option)
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the parallelogram ( tuvw ) is a dilation of the parallelogram ( tuvw ).…
\(5\)
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17. what change in coordinates occurs to a point $(x,y)$ under translat…
\((x - 4,y + 2)\) (the second option)
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03 - hw finding angle pairs algebraically 1. solve for x: 100° 8x + 10 …
1. \(x = 11.25\) 2. \(x = 8\) 3. \(x = 10\)
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the rectangle fghi is a dilation of the rectangle fghi. what is the sca…
\(\frac{1}{5}\)
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the trapezoid ( rstu ) is a dilation of the trapezoid ( rstu ). what is…
\(\frac{1}{3}\)
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what is the statement for step 2 of the proof? ∠bac≅∠dac bc = dc △bac≅△…
\(\angle BAC\cong\angle DAC\) (the first option)
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4. solve for w: 5. find x and y:
For \( w \): \( w = 13 \). For \( x \): \( x = 38 \). For \( y \): \( y = 20.5 \).
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dcba ≅ spqr. what is ad? centimeters
\(17\)
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given: \\( \\angle a \\cong \\angle b, \\overline{ad} \\cong \\overline…
AAS ≅ Thrm
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hgfi ≅ qrst. what is m∠s?
\(56\)
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the parallelogram ( qrst ) is a dilation of the parallelogram ( qrst ).…
\(\frac{2}{7}\)
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the parallelogram ( ghij ) is a dilation of the parallelogram ( ghij ).…
\(\frac{1}{4}\)
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8 in the accompanying diagram of right triangle abc ab = 8, bc = 15, ac…
1) \(\frac{8}{15}\)
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the rectangle ( hijk ) is a dilation of the rectangle ( hijk ). what is…
\(\frac{5}{4}\)
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22. if ( t_{0,5} ), what is the change in the ( x )-coordinate for the …
No change
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these figures are congruent. what is ( mangle n )?
\(109\)
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21. what will be the translation of a point ( p(-5,2)\to p(-3,-2) )? ( …
\(T_{2,-4}\) (the second option)
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the trapezoid ( opqr ) is a dilation of the trapezoid ( opqr ). what is…
\(\frac{4}{5}\)
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ngle congruence: sss and hl the triangles are congruent by the sss cong…
reflection, then translation
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7 in right triangle lmn shown below, m∠m = 90°, mn = 12 and lm = 16. th…
1) \(\frac{12}{20}\)
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these figures are congruent. what is ( mangle r )?
\(60\)
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20. if a point ( p(-2,-1) ) is translated to ( p(1,2) ), what is the tr…
\(T_{3,3}\) (the fourth option)
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then reflection
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△gfe ≅ △tuv. what is vt? yards submit
\(59\)
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19. what is the result of translating the point (3, 4) according to ( t…
\((10,-1)\)
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e congruence: sss and hl the triangles are congruent by sss or hl. whic…
reflection only
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18. which of the following best describes how to translate a figure 2 u…
Subtract 2 from \(x\) coordinate, subtract 5 from \(y\) coordinate.
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in the diagram, ad is the perpendicular bisector of eb. what additional…
\(AB\cong DE\)
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16. a figure is translated 8 units to the right and 3 units down. what …
\((x,y)\to(x + 8,y - 3)\) (the fourth option)
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15. what is the rule for translating a point (x, y) 5 units up? (x, y -…
\((x,y + 5)\) (the second option)
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the triangles are congruent by sss and hl. which transformation(s) can …
reflection, then translation
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the triangles are congruent by the sss congruence theorem. which transf…
translation, then reflection
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5 which ratio represents cos a in the accompanying diagram of △abc? 1) …
1) \(\frac{5}{13}\)
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14. in a translation, what happens to the points on the original figure…
They move the same distance in the same direction.
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look at the diagram. which equation can be used to solve for x? 9x - 5 …
\(9x - 5=50\)
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13. what does a translation do to a geometric figure? rotates it around…
Moves it without changing its shape or orientation
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4 which ratio represents the cosine of angle a in the right triangle be…
1) \(\frac{3}{5}\)
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12. in a translation, if all points of the object move the same distanc…
Congruent
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10. what remains unchanged when a figure is translated? shape and size …
Shape and size
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3 which ratio represents sinx in the right triangle shown below? 1) 28/…
1) \(\frac{28}{53}\)
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the triangles are congruent by sss or hl. which transformation(s) can m…
reflection, then translation
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9. what is a geometry translation? a shift in the position of a shape a…
A. A shift in the position of a shape
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n extra practice level up your skills! identify the transversal connect…
- \(\angle8\) and \(\angle9\): alternate interior angles - \(\angle2\) and \(\angle10\): alternate exterior angles - \(\angle4\) and \(\angle7\): consecutive interior angles
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2 the diagram below shows right triangle upc. which ratio represents th…
2) \(\frac{15}{17}\)
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the triangles are congruent by sss. which transformation(s) can be used…
B. reflection only, C. rotation, then translation
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geometry sem a geometry le congruence: sss and hl. which value of ( x )…
\(5\)
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concept translations a translation is a transformation in a plane that …
size and shape DO NOT change
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concept translations a translation is a transformation in a plane that …
same size, same shape
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which explains whether ∠vgh is congruent to ∠vjh? they are congruent be…
They are congruent because \(GH\cong GV\), \(JF\cong JH\), and \(FH\cong VH\)
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11 consider this right triangle determine whether each expression can b…
|Expression|Yes|No| |---|---|---| |\(26\sin(X)\)|Yes| | |\(\frac{10}{\tan(Y)}\)|Yes| | |\(10\tan(X)\)| |Yes| |\(\frac{10}{\tan(X)}\)| |Yes| |\(26\cos(Y)\)|Yes| | |\(\frac{26}{\cos…
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concept translations a translation is a transformation in a plane that …
The paths for each point in a translation of a polygon are all congruent to each other.