幾何
三角形、圓、解析幾何與證明題。
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practice circle the letter of the correct scientific notation for each …
10. D. $1.873\times10^{-7}$ 11. H. $8\times10^{-4}$ 12. C. $5.62\times10^{-5}$ 13. H. $5\times10^{-4}$
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triangle abc is rotated to create the image abc. which rule describes t…
\((x,y)\to(-x,-y)\)
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7 multiple choice 10 points triangle abc is shown on the graph. what ar…
A. (4,2)
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6 multiple choice 10 points m(-5,4) n(-2,3) l(-4,2) l(-4,-2) n(-2,-3) m…
C. (x, y)→(x, -y)
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5 multiple choice 10 points what is the pre - image of vertex a if the …
$(10,-2)$
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4 multiple choice 10 points if a translation of (x, y) → (x + 6, y - 10…
B. (1, -12)
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the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A\cong\angle Y$, $\angle B\cong\angle X$, $\angle C\cong\angle Z$ (b) $\overline{AB}\cong\overline{YX}$, $\overline{AC}\cong\overline{YZ}$, $\overline{BC}\cong\overlin…
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3 multiple choice 10 points which statement is true about triangle abc …
The rule for the translation can be written as \((x,y)\to(x + 3,y - 5)\).
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2 multiple choice 10 points right triangle lmn has vertices l(7, -3), m…
$(x,y)\to(x - 8,y + 11)$
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point s is between points r and t on $overline{rt}$. use the informatio…
For problem 10: $x = 5$, $RS = 20$, $ST = 1$, $RT = 21$. For problem 11: $x = 7$, $RS = 6$, $ST = 11$, $RT = 17$. For problem 12: $x = 12$, $RS = 20$, $ST = 40$, $RT = 60$. For pr…
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consider parallelogram abcd. which equation is made true by the opposit…
B. \(3y - 15=85 + y\)
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points a, b, and c form a triangle. complete the statements to prove th…
The reason for $m\angle1 = m\angle4$ and $m\angle3 = m\angle5$ is "Congruent angles have equal measures"; the reason for $m\angle4 + m\angle2 + m\angle5 = 180^{\circ}$ is "Definit…
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write the power of 10. identify the number between 1 and 10 to represen…
1. D. 6.34 × 10⁸ 2. H. 1.7 × 10⁹ 3. C. 6.08 × 10⁸ 4. F. 7.589 × 10¹²
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find the value of x.
\(131\)
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select all the correct answers. △lmn has vertices l(-2,4), m(3,2), and …
B. isosceles, F. right
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find the value of x.
\(87\)
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select all the correct answers. which statements are always true for a …
The diagonals are congruent. All angles are congruent. The opposite sides are parallel.
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find the value of x.
$50$
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10. point s lies on op. 11. all three lines share point s. 12. the medi…
C. Definition of median
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given: △mno prove: the medians of △mno are concurrent given: steps 2, 4…
By following the above steps of finding mid - points, writing equations of medians, and solving the system of equations of medians, we can prove that the medians of $\triangle MNO…
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complete the proof below by filling in the blanks. this will become our…
1. $\overline{AC}\perp\overline{BC}$ 2. Given 3. $\angle ACB$ is a right angle 4. $m\angle ACB = 90^{\circ}$ 5. $\angle ACB=\angle1+\angle2$ 6. Substitution
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14 which construction can you use to prove the pythagorean theorem base…
Construct the altitude from the right - angle vertex to the hypotenuse.
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Question was provided via image upload.
110
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14 which construction can you use to prove the pythagorean theorem base…
Draw an altitude from the right - angle vertex to the hypotenuse.
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select the correct answer. a regular polygon has an exterior angle meas…
A. 12
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19. if △def≅△gjh, find each missing measure. \\(\\overline{df}=\\) \\(\…
$DF = 16m$ $JH = 14m$ $GJ=19m$ $m\angle F = 105^{\circ}$ $m\angle G=34^{\circ}$ $m\angle J = 41^{\circ}$ $x = 7$ $y=\frac{13}{3}$
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select the correct answers from each drop - down menu. complete the ste…
$KI=\sqrt{17}$, $KE=\sqrt{37}$, $IT=\sqrt{41}$, $TE=\sqrt{45}$
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select the correct answers from each drop - down menu. complete the ste…
The first blank is $\sqrt{45}$, the second blank is $\sqrt{45}$ (assuming we are filling in the lengths of $IT$ and $TE$ as per the kite - proof requirements).
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quadrilateral kite with vertices k(0, -2), i(1, 2), t(7, 5), and e(4, -…
square root of 17
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¿qué nombre recibe el cuadrilátero de la imagen? trapecio escaleno romb…
C. Trapecio isósceles
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post test: polygons a x m d 4 m c 6 m 8 m a. 3 m b. 2 m c. 5 m d. 4 m
A. 3 m
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11 select the correct answer. a triangular garden is to be split so tha…
3 m
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in triangle abc, points d and e are the mid - points of $overline{ab}$ …
C. slope = 0.5, length = 1.6 units
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ateral abcd is a parallelogram 9 what are the missing statement and rea…
A. Statement: $\overline{AB}\parallel\overline{CD},\overline{BC}\parallel\overline{AD}$; Reason: definition of a parallelogram
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Question was provided via image upload.
$160$
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given quadrilateral defg is a parallelogram. what is the reason for ste…
A. Vertical Angles Theorem
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determine the missing reasons in the proof. statement reason abdc is a …
For $\triangle CDA\cong\triangle BDA$: SSS criterion For $\angle CDA\cong\angle BDA$: CPCTC For $\triangle CED\cong\triangle BED$: SAS criterion For $\overline{CE}\cong\overline{B…
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select the correct answer from each drop - down menu. given: kite abdc …
The missing reasons in the proof (continuing from the given part): 1. \(\overline{AD}\cong\overline{AD}\): Reflexive property of congruence 2. \(\triangle ACD\cong\triangle ABD\):…
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find the value of x. (3x - 2)° (7x - 2)° (4x - 12)°
14
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read the excerpt from the most dangerous game. he struggled up to the s…
C. A certain cool - headedness had come to him. E. [D]oggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength.
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6 select the correct answer from each drop - down menu. determine the n…
Polygon \(ABCDEFG\) may be divided into 5 triangles. The total interior angle measure of each triangle is \(180^{\circ}\). The total interior angle measure of polygon \(ABCDEFG\) …
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brian visited a mountain park with trails for hiking, mountain biking, …
$17.69$
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graph the inequality below on the number line. b > - 1
On the given number line, place an open - circle at $-1$ and draw an arrow to the right of $-1$.
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solve the linear inequality for x. graph your answer in the number line…
The solution of the inequality is $x > - 1$. On the number line, there is an open circle at - 1 and shading to the right.
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if these two shapes are similar, what is the measure of the missing len…
36 inches
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what is the slope of this line? simplify your answer and write it as a …
$-2$
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what is the slope of this line? simplify your answer and write it as a …
$3$
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which angles are adjacent to each other? ∠7 and ∠6 ∠7 and ∠5 ∠3 and ∠7 …
∠7 and ∠6
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△abc is the image of △abc under a rotation about point p. determine the…
B. $90^{\circ}$ counterclockwise, D. $270^{\circ}$ clockwise
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what is the length of the missing leg? if necessary, round to the neare…
24
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r is the midpoint of $overline{qs}$. if $qr = x + 7$ and $rs = 2x$, wha…
14
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what is the coordinate of the midpoint of $overline{tu}$? write your an…
$-0.5$
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what is the length of $overline{pq}$?
$400$
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find the value of x
$143$
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find the value of x.
\(109\)
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find the area of the right - triangle. area = square units
21
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find the value of x.
\(124^{\circ}\)
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6. find the value of x in the parallelogram.
\(x = 74^{\circ}\)
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which transformation would take figure a to figure b? answer a counterc…
A counterclockwise rotation of 180 about the origin
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what is the measure of angle a?
\(78^{\circ}\)
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question a side of the triangle below has been extended to form an exte…
\(115\)
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these figures are congruent. what is m∠s?
$79$
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11. find the value of x. (6x + 7)° (8x - 17)° 12. find the value of x. …
11. \(x = 12\) 12. \(x = 13\)
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which angle is complementary to ∠4? ∠2 ∠1 ∠5 ∠3
∠3
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which angle is vertical to ∠3? ∠6 ∠2 ∠5 ∠1
∠2
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find the measure of angle c.
$27^{\circ}$
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given m || n, find the value of x and y.
\(x = 22\), \(y = 113\)
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the midpoint of $overline{st}$ is $m(3.5, 13)$. one endpoint is $s(0, 1…
$(7,15)$
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the midpoint of $overline{kl}$ is $m(1,9)$. one endpoint is $k(2,9)$. f…
$(0,9)$
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what is the length of the line? choose 1 answer: a 9 b 8 c $sqrt{45}$ d…
C. $\sqrt{45}$
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find the value of a. pythagorean theorem: a² + b² = c² a = √?
$\sqrt{65}$
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which angles are vertical to each other? ∠2 and ∠3 ∠4 and ∠6 ∠3 and ∠1 …
$\angle4$ and $\angle6$
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match each compound inequality on the left to the graph that represents…
Match $4x - 3>9$ or $-8x\geq16$ with the graph that has an open circle at 3 and shading to the right and a closed circle at - 2 and shading to the left. Match $8x\geq - 24$ and $1…
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on a number line, the coordinates of x, y, z, and w are - 6, - 2, 4, an…
The length of $\overline{XY}$ is $4$. The length of $\overline{ZW}$ is $5$. No
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right triangle abc is shown. which equation can be used to solve for c?…
$\sin(50^{\circ})=\frac{3}{c}$ (the first option)
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determine a series of transformations that would map figure h onto figu…
A translation 4 units to the right followed by a translation 10 units up.
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for the figure below, give the following. (a) one pair of vertical angl…
(a) $\angle1$ and $\angle2$ (b) $\angle1$ and $\angle5$ (c) $\angle1$ and $\angle5$
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given m || n, find the value of x and y.
$x = 70$, $y = 110$
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this image has rotational symmetry. what is the smallest number of degr…
45
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find the distance d(p1,p2) between the points p1 and p2. p1=(a,r) p2=(0…
$\sqrt{a^2 + r^2}$
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the equation sin(40°) = b/20 can be used to determine the length of lin…
$12.9$ cm
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a line segment has the endpoints s(2, 4) and t(0, 0). find the coordina…
$(1,2)$
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in the triangular prism shown below, which lines are skew? select all t…
$\overrightarrow{MP}$ and $\overrightarrow{NQ}$, $\overrightarrow{QR}$ and $\overrightarrow{MO}$, $\overrightarrow{PR}$ and $\overrightarrow{MN}$
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in the cube shown below, which lines are parallel? select all that appl…
$\overrightarrow{HK}$ and $\overrightarrow{MN}$, $\overrightarrow{HI}$ and $\overrightarrow{NO}$
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look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarr…
$65$
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use the diagram and the given angle measure to find the other three mea…
$m\angle1 = 29^{\circ}$ $m\angle2 = 151^{\circ}$ $m\angle3 = 29^{\circ}$
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identify the pair(s) of congruent angles in the figure. explain how you…
\(\angle ABC\cong\angle DEF\) by the Congruent Supplements Theorem
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what are the corresponding parts of the figures below? select all that …
$\angle G\cong\angle V$, $\overline{DG}\cong\overline{TU}$
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problem 7 part 2: spiral review here is an unlabeled rectangle and seve…
Without specific grid - unit measurements for the original rectangle and each of the labeled quadrilaterals A - H, the scale factors cannot be determined.
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what number can you multiply each length on the map by to find the actu…
1.25
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which transformation would take figure a to figure b? answer a counterc…
A. A counterclockwise rotation of 90° about the origin
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which angle is congruent to ∠3? ∠1 ∠6 ∠2 ∠5
∠1
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g is the midpoint of $overline{fh}$. if $fg = x + 5$ and $gh = 3x - 8$,…
$11\frac{1}{2}$
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give the coordinates of the point obtained from each reflection. (a) re…
(a) $(9,3)$ (b) $(-9,-3)$
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2. rotation 90° counterclockwise about the origin
Las coordenadas del triángulo rotado son $A'(-1,-2)$, $B'(-1,0)$ y $C'(-3,-1)$.
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find the distance d(p1,p2) between the points p1 and p2. p1=(a,1) p2=(0…
$\sqrt{a^{2}+1}$
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question what is the image point of (8, 4) after a translation left 2 u…
\((6,0)\)
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find the length of the arc, s, on a circle of radius r intercepted by a…
$s=\frac{5\pi}{3}$ inches $s = 5.24$ inches
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answer the questions below. write your answers in simplest form. (a) a …
(a) 17 m (b) 11 cm
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which point on the x - axis lies on the line that passes through point …
C. $(1,0)$