Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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rectangle abcd has four right angles. 1. what is the sum of its angle m…
360 degrees
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this triangle has an area of 30 square units? e 3 10 a true b false
B. False
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nc math 2 (1st summative test) name: bianca date: october 01, 2025 i. c…
1. D. 142° 2. B. 26° 3. D. 135° 4. C. 135° 5. A. 45°
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this triangle has an area of 30 square units? a true b false
B. False
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this triangle has an area of 30 square units? a true b false
A. True
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this triangle has an area of 30 square units? b 10 10 8.66 10 a true b …
B. False
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4 which of the following celestial events is said to have occurred duri…
A. A solar - eclipse (represented by the image of a sun with a dark circle in the middle)
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question 3 true or false: this triangle has an area of 30 square units?…
A. True
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one of these triangles has the height and base labeled correctly. which…
B
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problem 3: perimeter of a triangle find the perimeter of the triangle w…
$4 + 6\sqrt{2}+2\sqrt{10}$
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why did gyro go into a bakery? for each exercise below, find the equati…
1. R 2. O 3. M 4. E 5. U 6. H 7. I 8. F 9. J 10. T 11. L 12. S
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complete the statements. a square is a parallelogram. a rectangle is a …
1. always 2. never 3. sometimes 4. sometimes
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which describes the pedestrian crossing sign shown? the sign is a trape…
The sign is a parallelogram because both pairs of opposite sides are parallel.
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find the sine, cosine, and tangent of ∠i. write your answer in simplifi…
\(\sin(I)=\frac{4\sqrt{97}}{97}\), \(\cos(I)=\frac{9\sqrt{97}}{97}\), \(\tan(I)=\frac{4}{9}\)
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find the tangent of ∠i. write your answer in simplified, rationalized f…
$\frac{\sqrt{21}}{2}$
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which points have a positive y - coordinates? a. a and f b. a and b c. …
B. A and B
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write the coordinates of the vertices after a dilation with a scale fac…
$S'(0,-1)$ $T'(0,3)$ $U'(1,3)$ $V'(1,-3)$
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problem 1: segment addition postulate on line segment ab, point c is be…
$x = 5.6$, $AC=16.2$ ### Problem 2
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2. use the two sets below to answer parts (a) and (b). kindergarten tea…
a. C. b. D.
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in the figure to the right, △abc and △ade are similar. find the length …
$\frac{90}{11}$
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write the coordinates of the vertices after a dilation with a scale fac…
$E'(0,-2)$ $F'(\frac{8}{3},-2)$ $G'(\frac{8}{3},1)$ $H'(0,1)$
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what type of transformation is used on the figure? turn flip slide
SLIDE
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find the tangent of ∠u. write your answer in simplified, rationalized f…
$\frac{\sqrt{1190}}{14}$
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solve the inequality and graph the solution. 18v > 36 plot the endpoint…
The solution of the inequality is $v > 2$. On the number line, place an open - circle at 2 and draw a ray to the right.
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find the sine of ∠u. write your answer in simplified, rationalized form…
$\frac{2\sqrt{13}}{13}$
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solve the inequality and graph the solution. $\frac{u}{-3}>2$ plot the …
The solution of the inequality is $u < - 6$. On the number - line, we use an open - circle at $-6$ (since the inequality is strict, $u eq - 6$) and draw a ray to the left of $-6$.
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what type of transformation is used on the figure? flip turn slide
FLIP
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match each pair of angle measures of a triangle with the remaining angl…
96 degrees and 51 degrees → 33 degrees 16 degrees and 102 degrees → 62 degrees 119 degrees and 23 degrees → 38 degrees 28 degrees and 87 degrees → 65 degrees
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write the coordinates of the vertices after a dilation with a scale fac…
$R'(-3,0)$ $S'(3,0)$ $T'(0,2)$ $U'(-2,2)$
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what is the series of transformations used on the figure? turn, slide f…
turn, slide
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solve the inequality and graph the solution. 2 > \\frac{a}{2} plot the …
The solution of the inequality is $a < 4$. On the number - line, we use an open circle at $a = 4$ (since $a$ cannot equal 4) and draw a ray to the left to represent all the values…
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amal is a baker who makes croissants, a type of french pastry. amal mak…
59049
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write the coordinates of the vertices after a dilation with a scale fac…
\(U'(-5,-10)\) \(V'(-5,10)\) \(W'(5,-10)\)
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solve the inequality and graph the solution. $\frac{g}{2}geq - 1$ plot …
The solution of the inequality is $q\geq - 2$. On the number - line, we plot a closed circle at $-2$ (since the inequality is $\geq$) and draw a ray to the right of $-2$.
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which quadrant is point f in? a. i b. ii c. iii d. iv
D. IV
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in a right triangle, a and b are the lengths of the legs and c is the l…
$8.2$
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what type of turn is used on the figure? 3/4 counterclockwise 1/4 clock…
1/4 counterclockwise
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in a right triangle, a and b are the lengths of the legs and c is the l…
$6.0$
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match each pair of angle measures of a triangle with the remaining angl…
119 degrees and 23 degrees → 38 degrees
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what is the series of transformations used on the figure? flip, slide f…
flip, slide
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what is the length of the hypotenuse? if necessary, round to the neares…
$8.8$
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what is the series of transformations used on the figure? slide, turn t…
turn, slide
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exercise 9 - (1) place parentheses around each prepositional phrase. wa…
1. (from Nashville) (to Jackson) (by railroad) (in one hour); Nashville, Jackson, railroad, one hour 2. (over the bridge) (through the cotton fields) (into the woods); bridge, cot…
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what type of turn is used on the figure? 1/2 clockwise 1/4 counterclock…
1/4 clockwise
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what is the length of the missing leg? if necessary, round to the neare…
\(4.9\)
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use the distance formula. find the distance between the following pairs…
1. Distance between A(-4,0) and B(2,0) is 6. 2. Distance between P(3,5) and Q(3,1) is 4. 3. Distance between S(-4,5) and T(6,-5) is $10\sqrt{2}$.
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what is the length of the missing leg? if necessary, round to the neare…
$7.7$
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solve the inequality and graph the solution. u - 6 ≤ 2 plot the endpoin…
The solution of the inequality is $u\leq8$. On the number - line, we plot a closed circle at 8 (since the inequality is $\leq$) and draw a ray to the left of 8.
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question: the width of a rectangle measures (8u - 4) centimeters, and i…
$-12 + 32u$
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what is the length of the missing leg? if necessary, round to the neare…
$7.5$
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in the figure to the right, △abc and △ade are similar. find the length …
\(\frac{11}{2}\)
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solve the inequality and graph the solution. -31 ≤ h - 28 plot the endp…
The solution of the inequality is $h\geq - 3$. On the number - line, we plot a closed circle at $-3$ (since the inequality is $\geq$) and draw a ray to the right.
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a triangle has side lengths of (r - 10s) centimeters, (3r + 2t) centime…
$4r + 4t - 16s$
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what is the length of the missing leg? if necessary, round to the neare…
$5.7$
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what is the length of the missing leg? if necessary, round to the neare…
$6.9$
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find the sine, cosine, and tangent of ∠f. simplify your answers and wri…
\(\sin(F)=\frac{72}{97}\), \(\cos(F)=\frac{65}{97}\), \(\tan(F)=\frac{72}{65}\)
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in the figure to the right, △abc and △ade are similar. find the length …
\(0.4\)
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what is the length of the missing leg? if necessary, round to the neare…
30
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putting it all together answer these open - ended questions on your own…
Task 2: The sign combination determines line direction. Task 3: Rise close to 0 makes line flatter; run close to 0 makes line steeper. Task 4: The line is horizontal. Task 5: Beca…
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in the figure to the right, △abc and △ade are similar. find the length …
4
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solve the inequality and graph the solution. $r - 1\\geq5$ plot the end…
The solution of the inequality is $r\geq6$. On the number - line, we plot a closed circle at 6 (because the inequality includes equality, $\geq$) and draw a ray to the right of 6.
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what is the length of the missing leg? if necessary, round to the neare…
48
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2.4 assignment 10 of 10 possible points: 1.88 in △abc, ∠a≅∠c and ∠b is …
$\angle A = 45^{\circ}$ $\angle B = 90^{\circ}$ $\angle C = 45^{\circ}$
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in the figure to the right, $delta abc$ and $delta ade$ are similar. fi…
$\frac{35}{6}$
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find the sine, cosine, and tangent of ∠q. simplify your answers and wri…
$\sin(Q)=\frac{39}{89}$ $\cos(Q)=\frac{80}{89}$ $\tan(Q)=\frac{39}{80}$
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select all the pairs of adjacent angles. ∠kjg and ∠ijg ∠kjg and ∠kjl ∠h…
$\angle KJG$ and $\angle IJG$, $\angle KJG$ and $\angle KJL$, $\angle HGE$ and $\angle FGE$, $\angle IJL$ and $\angle IJG$
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question: the width of a rectangle measures (7r - 2s) centimeters, and …
$16r - 14s$
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in the figure to the right, △abc and △ade are similar. find the length …
\(\frac{1}{6}\)
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what is the length of the hypotenuse? if necessary, round to the neares…
95
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what is the missing statement? a $sm = mt$ b $sm+mt = st$ c $angle ums+…
To continue her proof, Rivka can use angle - addition postulates and properties of linear pairs and vertical angles to solve for the unknown angles step - by - step as shown above…
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what is the measure of ∠n to the nearest whole degree? 35° 45° 55° 65° …
$55^{\circ}$
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what is the length of the missing leg? if necessary, round to the neare…
7
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for each: geometry set - up/reason, substitute and solve. 21. m∠aob = 5…
If we solve for $x$ from $5(x + 8)+9(x - 2)+(15x + 18)=360$: $x=\frac{320}{29}$ $m\angle AOB=\frac{2760}{29}\approx95.17^{\circ}$ $m\angle BOC=\frac{2358}{29}\approx81.31^{\circ}$…
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find the sine of ∠h. simplify your answer and write it as a proper frac…
$\frac{15}{17}$
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solve the inequality and graph the solution. 95 > -95w plot the endpoin…
The solution of the inequality is $w > - 1$. On the number - line, we plot an open - circle at $-1$ (because the inequality is strict, $w$ cannot equal $-1$) and draw a ray to the…
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for each: geometry set - up/reason, substitute and solve. 21. m∠aob = 5…
\[x=\frac{140}{29}\]
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find the distance between the points (10, 6) and (7, 10). write your an…
5
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for each: geometry set - up/reason, substitute and solve. 21. geometry …
\(x=\frac{140}{29}\), \(m\angle FOE = 180^{\circ}\)
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what are the angle measures of triangle vuw? o m∠v = 30°, m∠u = 60°, m∠…
\(m\angle V = 60^{\circ},m\angle U = 90^{\circ},m\angle W = 30^{\circ}\)
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solve the inequality and graph the solution. 30y ≥ 60 plot the endpoint…
The solution of the inequality is $y\geq2$. On the number - line, plot a closed circle at 2 (since the inequality is $\geq$) and draw a ray to the right of 2.
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find the length of side x and side y given that the triangles are simil…
$x = 20$, $y = 18$
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find the sine of ∠h. simplify your answer and write it as a proper frac…
\(\frac{15}{17}\)
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the measure of an angle is 30 more than 5 times its supplement. find th…
Angle 1 = 155 Angle 2 = 25
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find the unknown length y in the pair of similar triangles. y = ft (sim…
$4\frac{2}{3}$
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a right triangle has one angle that measure 23°. the adjacent leg measu…
161.8 $cm^{2}$
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find the unknown length y in the following pair of similar triangles.
$9.5$
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what is the area of triangle pqr? round to the nearest tenth of a squar…
70.5 square units
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find the cosine of ∠y. simplify your answer and write it as a proper fr…
$\frac{8}{17}$
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the measure of an angle is 16 less than 3 times the measure of its comp…
Angle 1 = $63.5$ Angle 2 = $26.5$
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find the tangent of ∠y. simplify your answer and write it as a proper n…
$\frac{56}{33}$
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a kite is made up of two isosceles triangles, kit and ket, with the len…
34 square inches
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find the cosine of ∠w. simplify your answer and write it as a proper fr…
$\frac{3}{5}$
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select all the pairs of adjacent angles. ∠nom and ∠qro ∠srt and ∠qrt ∠q…
$\angle SRT$ and $\angle QRT$, $\angle QRO$ and $\angle QRT$, $\angle NOR$ and $\angle POR$
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find the tangent of ∠t. simplify your answer and write it as a proper f…
$\frac{12}{5}$
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two teams are pulling a heavy chest, located at point x. the teams are …
$\frac{\sin(A)}{2.4}=\frac{\sin(110^{\circ})}{4.6}$ (corresponding to the first option in the multiple - choice list)
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solve the inequality and graph the solution. 2 ≥ \\frac{p}{2} plot the …
The solution of the inequality is $p\leq4$. On the number - line, we place a closed circle at 4 and draw a ray to the left.
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given right triangle abc, what is the value of tan(a)?
$\frac{12}{5}$
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find the sine of ∠q. simplify your answer and write it as a proper frac…
$\frac{8}{17}$
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find the tangent of ∠q. simplify your answer and write it as a proper f…
$\frac{13}{5}$
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solve the inequality and graph the solution. k + 7 > 11 plot the endpoi…
The solution of the inequality is $k > 4$. On the number - line, we plot an open circle at 4 (since 4 is not included in the solution) and draw a ray to the right of 4.