幾何
三角形、円、座標幾何、証明問題。
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what is x?
90
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select all the pairs of alternate exterior angles. ∠poq and ∠klj ∠klo a…
$\angle POQ$ and $\angle KLJ$, $\angle KLJ$ and $\angle NOL$, $\angle MLJ$ and $\angle NOQ$
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21. what is the result of rotating the point (4, 5) 180 degrees around …
B. $(-4,-5)$
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in a right triangle, a and b are the lengths of the legs and c is the l…
$5.4$
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20 which transformation does not alter the orientation of a figure? a. …
c. Translation
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what is the length of the hypotenuse? if necessary, round to the neares…
\(6.7\)
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19. after dilating a point (3,5) by a factor of 3, what will its new co…
B. $(9,15)$
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find the length of an arc that subtends a central angle of 4 rad in a c…
16 mi
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you move right 2 units and left 1 unit. you end at (-3, -4). where did …
$(-4,-4)$
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jamarion bruce q1 - accelerated mathematics gr 8 | unit test 17. dilati…
A. The shape's size will be halved.
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you move down 7 units and left 6 units. you end at (-1, -3). where did …
$(5,4)$
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you move down 2 units and left 1 unit. you end at (4, -5). where did yo…
$(5,-3)$
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select all the pairs of alternate interior angles. ∠tsp and ∠ops ∠tsp a…
$\angle TSP$ and $\angle OPS$, $\angle RSU$ and $\angle QPS$
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16. what transformation is described by the rule (x,y)→( - x,y)? a. ref…
a. Reflection over the y - axis
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what is the length of the hypotenuse? if necessary, round to the neares…
9.3
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15. if a triangle with vertices at (2,2), (4,2), and (3,4) is reflected…
b. $(3,-4)$
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14. what happens to the coordinates of a point (x,y) when it is transla…
A. $(x + 2,y + 5)$
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13. after translating a point (4,5) 2 units left and 3 units down, what…
C. (2, 2)
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you start at (2, 3). you move left 6 units. where do you end?
$(-4,3)$
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12. what does a dilation do to a figure? a. changes its proportions b. …
B. Changes its size while keeping its shape and orientation
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find the angle $\theta$ in the figure. (assume $r = 2$ and $s = 4$.) $\…
$2$
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find the perimeter of the triangle with the given vertices. use the dis…
The perimeter of the triangle with vertices $A(-3,0),B(0,4),C(0,0)$ is $12$. The perimeter of the triangle with vertices $R(-2,1),S(2,-1),T(0,-4)$ is $2\sqrt{5}+\sqrt{13}+\sqrt{29…
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11. when a rectangle measuring 5 inches by 8 inches is enlarged to 20 i…
A. 4
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select all the pairs of corresponding angles. ∠ihe and ∠fec ∠ghj and ∠d…
∠IHE and ∠FEC, ∠GHJ and ∠DEH, ∠IHJ and ∠FEH
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10. what transformation occurs when a figure is moved without rotation …
a. Translation
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if $overline{ps}congoverline{rs}$, $mangle pqs = 10x$, and $mangle rqs=…
$140$
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what is the length of the hypotenuse? if necessary, round to the neares…
5.9
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which angles are alternate interior angles? ∠nmo and ∠ijm ∠kjh and ∠nmo…
$\angle KJM$ and $\angle LMJ$
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9. a banner is 2 feet by 6 feet and is scaled up to 8 feet by 24 feet. …
d. 4
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what is the value of p? p =
$22$
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find the area of each rectar a. 12 cm area of the square = area of the …
area of the square = $144$ $cm^2$ area of the triangle = $72$ $cm^2$
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if $overline{fi}congoverline{hi}$, $mangle fgi = s + 60^{circ}$, and $m…
$20$
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you start at (4, 4). you move down 9 units and up 3 units. where do you…
(4, - 2)
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8. congruent figures must have which of the following characteristics? …
B. Identical sizes and shapes
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if bc ≅ be and m∠bdc = 38°, what is m∠cde? m∠cde = °
$76$
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you start at (5, 0). you move down 3 units and left 6 units. where do y…
$(-1,-3)$
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q1 - accelerated mathematics gr 8 | unit t 7. reflecting a shape over t…
B. a shape with swapped and negated coordinates
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find the length of the arc s in the figure. (assume r = 2 and θ = 102°.…
$\frac{17\pi}{15}$
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what is fg? fg =
$6$
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which angles are alternate interior angles? ∠jog and ∠fgj ∠jog and ∠jil…
∠JKG and ∠FGJ
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1 jamarion bruce q1 - accelerated mathematics gr 8 | unit test 6. what …
C. \((12,-3)\)
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if ∠fhg ≅ ∠fhi, fg = p + 63, and fi = 4p, what is the value of p?
$21$
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what is m∠yxz? m∠yxz = °
\(50\)
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5. if a shape is translated 3 units up and 5 units to the right, what t…
d. Translation
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if (mangle stv = mangle utv = 58^{circ}, sv=z + 64), and (uv = 9z), wha…
72
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you start at (2, -2). you move up 4 units. where do you end?
$(2,2)$
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which angles are consecutive interior angles? ∠mnq and ∠pqn ∠mnq and ∠r…
$\angle MNQ$ and $\angle PQN$
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if $overline{eh}congoverline{gh}$, $mangle efh = 2x$, and $mangle gfh=x…
$19$
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you start at (4, -2). you move right 1 unit and up 3 units. where do yo…
(5, 1)
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4. what happens to a figure when it is reflected over the y - axis? a. …
d. It creates a mirror image
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if ∠ced ≅ ∠cef, cd = v + 3, and cf = 4v, what is the value of v?
$1$
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what is the value of b? b = °
\(10\)
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you start at (-5, -1). you move down 2 units. where do you end?
$(-5,-3)$
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if tw = vw = 85 and m∠tuw = 45°, what is m∠vuw? m∠vuw = °
$45$
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3. which of the following transformations is considered a rigid transfo…
c. Translation
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which angles are consecutive interior angles? ∠mnq and ∠pon ∠mnq and ∠p…
There is no correct option provided in the repeated "∠MNQ and ∠POS" and "∠MNQ and ∠PON" options. But if we correctly identify the consecutive - interior angles based on the defini…
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if ∠dfe ≅ ∠dfg and de = 65, what is dg? dg =
65
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jamarion bruce q1 - accelerated mathematics gr 8 | unit test 2. in map …
b. Resize large geographical areas to fit onto smaller maps
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what is m∠fgh? m∠fgh = °
$135$
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if m∠tuw = m∠vuw = 62° and vw = 42, what is tw?
$42$
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using the graph, determine the coordinates of the vertex of the parabol…
(-3,-8)
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1. how would you transform a figure at (2,2), (4,2), (4,4), and (2,4) t…
C. Rotation 180 degrees, then dilation by 1.5
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using the graph, determine the coordinates of the x - intercepts of the…
(4,0), (6,0)
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which angles are alternate exterior angles? ∠wxz and ∠vus ∠wxu and ∠yxz…
∠WXZ and ∠VUS
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which angles are consecutive interior angles? ∠ijg and ∠fgj ∠ijg and ∠i…
$\angle IJG$ and $\angle FGJ$
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determine the volume of the figure in cubic inches. show or explain you…
144 in³
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consider the following equation of a circle. (x^{2}+y^{2}+6x - 6y-18 = …
6
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solve the compound inequality and graph the solution. 3≤7x - 4<10. the …
The solution is $1\leq x<2$. The correct graph would have a closed circle at 1 and an open circle at 2 with a line segment connecting them. Without seeing the exact labels of the …
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use the graph of the parabola to fill in the table. (a) does the parabo…
$x = 1$
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consider the following equation of a circle. $x^{2}+y^{2}+6x - 6y - 18 …
$(-3,3)$
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enlargement reduction what is the scale factor? * 1/3 1/2 2 3 4 if g= (…
1. Reduction 2. 1/2 3. (-1,-1)
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in so doing, he attempts to evade the guilt of repression. source: hung…
C. sidestep
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exercises list the ordered pair of the points given. perform the transl…
1. $E(2,3)\to E'(1,4)$, $B(5, - 2)\to B'(4,-1)$ 2. $X(1,1)\to X'(4,3)$, $Y(0,0)\to Y'(3,2)$ 3. $K(3,1)\to K'(0,5)$, $H( - 1,-1)\to H'(-4,3)$ 4. $U(4,2)\to U'(-1,3)$, $P(6,0)\to P'…
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enlargement reduction what is the scale factor? * 1 point 1/3 1/2 2 3 4…
1. Reduction 2. 1/3 3. (0, 3)
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choose all of the equations that represent a parabola with the focus (3…
A. $12y=x^2-6x + 81$ E. $(x - 3)^2=12(y - 6)$
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enlargement reduction what is the scale factor? * 1/3 1/2 2 3 4 if t=(1…
1. Enlargement 2. 3 3. (3, -9)
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what is the area of the shaded rectangle? 1 1/2 in. 1 1/4 in. 5 2/8 in.…
$1\frac{7}{8}\text{ in.}^2$ (Note: There is an error in the given options as the correct answer $1\frac{7}{8}$ is not among them)
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what is the scale factor? * 1/3 1/2 2 3 4 if l= (-3,-2) what is the coo…
For the first question: No answer provided as no context for scale - factor is given. For the second question: C. (-9,-6)
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exercises list the ordered pair of the points given. perform the transl…
1. Assume we can read the coordinates of the points from the graph (not shown here with actual values). For a translation \(T_{(a,b)}\), if a point has coordinates \((x,y)\), the …
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what type of dilation took place? * what is the scale factor? * 1/3 1/2…
Enlargement 3
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what is the scale factor? * 1/3 1/2 2 3 4 if v = (3,3) what is the coor…
First question: A. 1/3 Second question: C. (1,1)
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what type of dilation took place? * 1 point what is the scale factor? *…
What type of dilation took place? Reduction What is the scale factor? A. $\frac{1}{3}$
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15 determine and state the length of a line segment whose endpoints are…
17
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what type of dilation took place? * 1 point what is the scale factor? *…
What type of dilation took place? Reduction What is the scale factor? B. \(1/2\)
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suppose we perform a translation, then a reflection, then a rotation, t…
The point $A(6,-1)$: - After first translation: $(3,4)$ - After reflection: $(3,-4)$ - After rotation: $(-4,-3)$ - After second translation: $(-3,0)$ For rigid - motion notation: …
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what is the area of the shaded rectangle? 2 1/2 in. 3/4 in. 1 5/8 in.² …
None of the given options are correct. The correct area is $\frac{15}{8}$ square inches.
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if dh = 4x - 10 and hf = x + 8, find the value of x for which defg must…
6
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using the diagram below, find the relation between x and y. $\frac{2}{x…
$24x^{-1}$
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34. rstu is a kite, m∠r = 160, and m∠s = 90. find m∠t.
20
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suppose we perform a translation, then a reflection, then a rotation, t…
1. First translation of $A(6,-1)$: $(3,4)$ 2. Reflection of $(3,4)$ across $x$-axis: $(3,-4)$ 3. Rotation of $(3,-4)$ by $270^{\circ}$: $(-4,-3)$ 4. Second translation of $(-4,-3)…
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33. the kite has vertices d(0, 3b), e(a, 0), and f(0, - 5b). what are t…
A. \((-a,0)\)
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given m||n, find the value of x.
\(x = 35\)
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what are the base and height of the original triangle? to scale back to…
Base: 6 cm, Height: 16 cm
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32. for parallelogram lmno, if (mangle l = 5x - 28) and (mangle n = 3x …
$173$
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a triangle has vertices at b(-3, 0), c(2, -1), d(-1, 2). which series o…
(x, y)→(-x, y)→(x + 1, y + 1)
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this triangle is a scaled copy. it was scaled by a factor of 6. suppose…
$\frac{1}{6}$
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given m||n, find the value of x.
\(x = 35\)
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pentagon pqrst and its reflection, pentagon pqrst, are shown in the coo…
C. x = 0
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what scale factor should you use? to scale back to the original, use a …
$\frac{5}{3}$
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given m||n, find the value of x.
103