Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
triangle def is congruent to δdef by the sss theorem. which single rigi…
C. rotation
-
which rigid transformation would map δabc to δabf? ○ a rotation about p…
C. a reflection across the line containing $\overline{BA}$
-
triangle def was dilated according to the rule ( d_{o, \frac{1}{3}} ) (…
- ∠F corresponds to ∠F: (Assuming typo, but as per options, if it's ∠F'—but written as ∠F, maybe incorrect. However, the correct three are: - Segment EE' is parallel to segment FF…
-
nessa proved that these triangles are congruent using asa. roberto prov…
A. $\angle A\cong\angle Q$ because of the third angle theorem.
-
△rst is dilated with the rule ( d_{t,1/3} (x, y) ), where the center of…
- Distance between x - coordinates of R and T: 3 - Distance between y - coordinates of R and T: 6 - R' is \(\frac{1}{3}\) the distance from T - Coordinates of R': \((2,0)\)
-
in a function, no input value has more than one ______. checking if eac…
output ### Second Blank:
-
what is the volume of this prism? 4 mm 10 mm 3 mm cubic millimeters
120
-
consider the diagram. the congruence theorem that can be used to prove …
HL (The congruence theorem is HL, so the correct option is the one labeled "HL")
-
which composition of similarity transformations would map polygon abdc …
a dilation with a scale factor greater than 1 and then a translation
-
5) -8(b - 2) - 8b < -112
The solution to the inequality \(-8(b - 2)-8b<-112\) is \(b>8\). On the number line, this would be represented by an open circle at 8 and an arrow pointing to the right (towards v…
-
triangle abc is rotated 45° about point x, resulting in triangle efd. f…
3.6 cm (Option B: 3.6 cm)
-
which graph has figures that can undergo a similarity transformation to…
The second graph (the one with two rectangles, the second from the left)
-
4) ( 5(6p - 4) > -260 )
The solution to the inequality \(5(6p - 4)>-260\) is \(p > - 8\). On the number line, this would be represented by an open circle at \(-8\) and an arrow pointing to the right (tow…
-
how can δabc be mapped to δxyz? first, translate ________. next, rotate…
B. vertex B to vertex Y
-
quadrilateral qrst is dilated and translated to form similar figure qrs…
$\frac{1}{2}$
-
4. diagram of coordinate grid with vertical line m=
undefined
-
w 21 cm x diagram with right angles at x and z, z 21 cm y is δwxz ≅ δyz…
A. Yes, they are congruent by SAS.
-
4. diagram of coordinate grid with vertical line m=
undefined
-
the proof that δrst ≅ δvst is shown. given: $overline{st}$ is the perpe…
perpendicular bisector theorem
-
which congruence theorem can be used to prove $\\triangle bda \\cong \\…
HL (The HL congruence theorem can be used since we have two right triangles with a common hypotenuse ($BD$) and one pair of equal legs (the marked sides), satisfying the HL criter…
-
question 44 of 44 which of the following is represented by (overline{mn…
C. Radius of the circle
-
which congruence theorems can be used to prove δabr ≅ δacr? select thre…
HL, SAS, SSS
-
which of the following best describes the relationship between the chor…
D. They are congruent.
-
3. find the area of a square if its side length is: a. 3 inches b. 7 un…
s: a. \( \boldsymbol{9} \) square inches b. \( \boldsymbol{49} \) square units c. \( \boldsymbol{10000} \) square centimeters d. \( \boldsymbol{1600} \) square inches e. \( \bolds…
-
which of the following is best described as all the points on a plane t…
B. Circle
-
which best explains whether or not δabc ≅ δlmn? the figures are congrue…
The figures are congruent because a \( 270^\circ \) rotation about the origin and then a reflection over the \( x \)-axis will map \( \triangle ABC \) onto \( \triangle LMN \).
-
which of the following best describes \\(overline{so}\\)? diagram: circ…
D. Chord
-
three angles are shown, ∠bwx, ∠cwx, and ∠bwc. if ( mangle bwx = (5.5x +…
\( 32^\circ \) (corresponding to the option with \( 32^\circ \))
-
what is the circumference of a circular disc with a diameter of 10 cent…
D. 31.4 cm
-
identifying parallel and perpendicular... which statement is true regar…
\( w \parallel n \) and \( n \perp m \) (the third option among the given options, which is " \( w \parallel n \) and \( n \perp m \)")
-
classify each figure as a line, ray, or line segment. then, show how to…
Type: line; How to write it: \( \overleftrightarrow{TU} \) ### Part (b)
-
question 39 of 44 what is the measure of minor arc ( widehat{ac} ), giv…
C. 160°
-
question 38 of 44 which of the following statements is true regarding t…
D. There is only one unique circle that can be circumscribed about a triangle.
-
question 37 of 44 what is the circumference of the circle below? (round…
A. 56.5 cm
-
classify each figure as a line, ray, or line segment. then, show how to…
Type: ray; How to write it: \( \overrightarrow{CD} \) ### Part (b)
-
at which of the following values is sin θ negative? (1 point) ○ sin θ =…
$\sin\theta = 270^\circ$ (or the option corresponding to $270^\circ$)
-
1.8.7 check your understanding an incomplete construction is shown. wha…
D. Without changing the width of the compass, place the compass point on \( V \). Keeping the same compass width, draw an arc approximately where the other endpoint will be create…
-
question 36 of 44 what is the measure of (widehat{ed}) (the minor arc) …
A. 156°
-
youre being asked to create a new segment named kr. which step of the c…
3. Draw line segment \( KH \) using a straightedge.
-
which of the following best describes ∠abc? a. vertical angle b. centra…
D. Inscribed angle
-
given △abc, use a dilation with the center at the origin to make a simi…
(6, -3)
-
question 34 of 44 what is the length of (overline{ac})? diagram: circle…
D. 24
-
two angles and the non-included side of one triangle are congruent to t…
B. AAS
-
wk, kr, and rp are shown, where wk = 2x - 2, kr = 3x, rp = x + 5, and w…
\( x = 4 \) \( WK = 6 \) (given, verified as \( 2(4)-2=6 \)) \( KR = 12 \) \( RP = 9 \) \( WP = 27 \)
-
analyzing a dilation derek tried to dilate the isosceles trapezoid abdc…
s: The slope of \( AC \) is \( \boldsymbol{4} \). The slope of \( EG \) is \( \boldsymbol{2} \). The polygons are not dilations of each other because **the slopes of corresponding…
-
complete the paragraph proof. given: ∠abr and ∠acr are right angles, ( …
\(\boldsymbol{\angle BAR \cong \angle CAR}\)
-
question 33 of 44 which of the following polygons can be circumscribed …
D. Polygon B because its opposite angles are supplementary.
-
3) 478 > -5 + 7(8v + 5) number line with ticks at 3, 4, 5, 6, 7, 8, 9, …
The solution to the inequality \(478>-5 + 7(8v + 5)\) is \(v < 8\). On the number line, we would draw an open circle at \(v = 8\) and shade the region to the left of 8.
-
line segments ad and be intersect at c, and triangles abc and dec are f…
ASA (the option with "ASA" text)
-
question 32 of 44 which point represents the center of the circle shown…
B. Point \( K \)
-
which congruence theorem can be used to prove △bda ≅ △bdc? options: hl,…
D. SSS
-
use patterns to find the values of sin 30° and cos 30° and then compare…
A. \(\sin 30^{\circ} < \cos 30^{\circ}\)
-
question 31 of 44 which of the following is a characteristic of the cir…
B. It is the center of the only circle that can be circumscribed about the triangle.
-
two sides and the included angle of one triangle are congruent to the c…
C. SAS
-
derek tried to dilate the isosceles trapezoid abdc with the center of d…
s: - Slope of \( AC \): \( \boldsymbol{1} \) - Slope of \( EG \): \( \boldsymbol{1} \) - Reason: The corresponding sides are not in the ratio of the scale factor (2) (or the scale…
-
which of the following is the minor arc of the circle shown below? a. $…
B. \(\overarc{AB}\)
-
this image is an example of what kind of line? broken horizontal vertic…
■ Diagonal
-
given: mq = nq; q is the midpoint of \\overline{lp}; \\overline{lm} \\c…
B. SSS
-
question 29 of 44 what is the measure of θ? circle diagram with 4 cm an…
C. 3 radians
-
triangle xyz was dilated using the rule $d_{o,0.25} (x, y) \ ightarrow …
\((-8, -4)\) (corresponding to the first option: \(\boldsymbol{(-8, -4)}\))
-
when finding $\\cos \\theta = \\frac{\\sqrt{3}}{2}$ on a unit circle, w…
D. 30 - 60 - 90 triangle
-
given: ∠xwu ≅ ∠zvt, ∠ztv ≅ ∠xuw, (overline{tu} cong overline{vw}) which…
$\boldsymbol{\triangle ZVT \cong \triangle XWU}$ by ASA
-
question 28 of 44 what is the area of the sector shown in the diagram b…
C. \( 39.3\space\text{cm}^2 \)
-
question 27 of 44 what is the circumference of a circular park with a r…
A. 628.3 m
-
which figure shows an example of symmetry? a. figure, b. figure, c. fig…
A. The figure with two diamond - shaped figures symmetric about the red dashed line
-
what is the radius of the unit circle? (1 point) (\frac{1}{2}) 1 0 2
B. 1 (assuming the second option is labeled as B, with the text "1")
-
question 26 of 44 what is the measure of $\\angle abc$, given that $\\o…
A. 48°
-
finding the vertex from the pre-image the rule for the dilation of quad…
\( (0, 1) \)
-
question 25 of 44 what is the measure of ( angle doc ), given that ( ov…
A. \(65^\circ\)
-
consider the diagram. the congruence theorem that can be used to prove …
C. SAS
-
question 24 of 44 what is the measure of arc ( overarc{wx} ) in the dia…
B. 26°
-
question 23 of 44 what is the circumference of the circle shown below, …
C. 48
-
a ray from the positive x-axis is rotated -270 degrees. what is the cos…
0 (corresponding to the option "0")
-
which of the following graphs does not represent a function? a. a cubic…
c. A circle.
-
which congruence theorem can be used to prove △wxz ≅ △yzx? diagram of t…
A. AAS
-
question 22 of 44 which of the following represents a region of a circl…
A. Sector
-
this image is an example of what kind of lines? vertical tall horizonta…
A. Vertical
-
given: $overline{ar}$ bisects $angle bac$; $ab = ac$ which congruence t…
\(\boldsymbol{\text{SAS}}\) (the option corresponding to SAS, e.g., if the options are labeled as in the problem, the answer is the option with "SAS")
-
question 21 of 44 if the circumference of the circle below is 72, what …
C. 8
-
circle the two words you can turn into a contraction. write the contrac…
Circle: did, not Contraction: didn't
-
question 20 of 44 which of the following can be used to find the area o…
B. \( \pi r^{2} \) (assuming the exponent in option B is a typo and should be 2 instead of 3, as the area of a circle is \( A = \pi r^{2}\))
-
question 19 of 44 which of the following is a point of tangency on the …
C. Point F
-
which of the following graphs does not represent a function? a. a cubic…
c. A circle.
-
question 18 of 44 which of the following is a characteristic of an ince…
A. It is the center of the circle that can be inscribed in a given triangle.
-
pf || yk is shown where ( mangle phm = (8k + 11)^circ ), ( mangle whr =…
The value of \( k \) is \( 8 \), the measure of \( \angle RHF \) is \( 75^\circ \), and the measure of \( \angle YWG \) is \( 75^\circ \)
-
question 17 of 44 what is the area of the circle shown below? image of …
B. \( 1520.5\space\text{cm}^2 \)
-
convert \\(\\frac{5\\pi}{6}\\) radians to degrees. (1 point) \\(\\bigci…
150 degrees (corresponding to the option: 150 degrees)
-
convert 120 degrees to radians. (1 point) → (\frac{2pi}{3}) → (\frac{3p…
\( \frac{2\pi}{3} \) (corresponding to the first option: \( \boldsymbol{\frac{2\pi}{3}} \))
-
circle the word that is the correct contraction. 1. do not a. dont b. d…
### Part 1: Circle the correct contraction #### Question 1: "do not" To form the contraction of "do not", we combine "do" and "not", replacing the "o" in "not" with an apostrophe.…
-
question 16 of 44 given ⊙o below, if $widehat{ab}$ and $widehat{bc}$ ar…
B. 14.5 units
-
which of the following expressions has the same value as $cos 30^circ$?…
$\cos \frac{\pi}{6}$ (the last option, which is $\boldsymbol{\cos \frac{\pi}{6}}$)
-
the dilation rule $d_{f,3}(x, y)$ is applied to $\\triangle abc$, where…
s: - The distance in the x - coordinates: \(3\) - The distance in the y - coordinates: \(1\) - The vertex \(A'\): \((-8,4)\)
-
convert $\\frac{7\\pi}{2}$ radians to degrees. (1 point) $\\bigcirc$ 63…
630 degrees (corresponding to the first option: 630 degrees)
-
convert 72 degrees to radians. (1 point) (\frac{2pi}{5}) radians (\frac…
\( \frac{2\pi}{5} \) radians (corresponding to the first option: \( \boldsymbol{\frac{2\pi}{5}} \) radians)
-
a radian is created by tracing what measurement around a circle? (1 poi…
C. radius
-
for the triangles to be congruent by hl, what must be the value of x? ○…
4 (corresponding to the option "4")
-
the triangles shown are congruent by the sss congruence theorem. the di…
B. rotation, then translation, then reflection
-
the triangles are congruent by sss. which transformation(s) can be used…
A. reflection only D. rotation, then translation
-
the triangles are congruent by the sss congruence theorem. which rigid …
A. reflection, then rotation
-
which value of x would make δsuv ≅ δtuw by hl? ○ 2 ○ 3 ○ 4 ○ 5
\( \boldsymbol{5} \) (corresponding to the option "5")