Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the diameter, d, of a sphere is 15.2 m. calculate the spheres volume, v…
\(1838.3\)
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3 multiple choice 1 point the given measurements may or may not determi…
C. \(C = 20.8^{\circ},A = 32.2^{\circ},a = 6\)
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a parabola can be drawn given a focus of $(-6,9)$ and a directrix of $y…
\( (x + 6)^2=12(y - 6) \)
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2 multiple choice 1 point the given measurements may or may not determi…
C = 63°, b ≈ 8.1, c ≈ 7.9 (First option)
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△xyz ~ △pqr in each pair. find the unknown measures. 14. 15.
For problem 14: \(a = 15\mathrm{cm}\), \(b = 51^{\circ}\) For problem 15: \(s = 58^{\circ}\), \(y = 56\mathrm{m}\)
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use the following diagram to answer question 5. 5. a. outline the steps…
\(d\approx245.3\)
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13. art an art exhibit at a local museum features several similarly sha…
a. $7.5$ inches, $8$ inches, $9$ inches, $10.5$ inches, $12$ inches. b. $4$ inches. c. Because all edges of a cube are of equal length.
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what is the image point of $(-4,9)$ after the transformation $r_{90^{ci…
\((4,14)\)
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what is the image point of $(-6,-2)$ after the transformation $d_{\frac…
\((-1,3)\)
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9 in the figure, the lines are parallel. what is the relationship given…
Acute Angle: \(\frac{770}{9}\approx85.56^{\circ}\), Obtuse Angle: \(\frac{850}{9}\approx94.44^{\circ}\)
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11. a building with a height of 14 m casts a shadow that is 16 m long w…
1. The height of the taller building is \(21\) m. 2. The new length is \(\frac{40}{3}\approx13.33\) in.
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what is the image point of $(-4,2)$ after the transformation $d_{3}circ…
\((-3,0)\)
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what is the image point of $(-8,2)$ after the transformation $r_{y = x}…
\((5,-11)\)
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what is the image point of $(8,-4)$ after the transformation $r_{x - ax…
\((7,1)\)
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0. two ramps modeled with triangles are similar. which side of triangle…
\(\overline{KO}\) corresponds to \(\overline{JN}\) because in the assumed similarity \(\triangle JNZ\sim\triangle KOA\), the order of vertices gives the side - to - side correspon…
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figure r is the result of a transformation on figure q. which transform…
A dilation (enlargement) would accomplish this transformation.
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6. in the figure, the lines are parallel. what is the relationship give…
Acute Angle: \(\frac{3830}{43}\approx89.07^{\circ}\), Obtuse Angle: \(\frac{3910}{43}\approx90.93^{\circ}\)
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figure i is the result of a transformation on figure h. which transform…
A reflection over the y - axis.
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figure t is the result of a transformation on figure s. which transform…
A \(180^{\circ}\) rotation about the origin.
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in the figure below, l || m. find the values of y and x. x= y=
\( x = 36 \), \( y = 63 \)
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9. a cactus casts a shadow that is 15 ft long. a gate nearby casts a sh…
\(9\) ft
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4.2 independent practice teks 7.5.a 9. a cactus casts a shadow that is …
\(9\) ft
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practice: 4 in the figure, the lines are parallel what is the relations…
Acute Angle: \(23x - 5\approx88.05^{\circ}\) Obtuse Angle: \(21x + 7\approx91.95^{\circ}\)
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the face of a clock is a circle with 12 equal sections. a circle has 36…
C. \(k = 30\)
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for each pair of triangles, determine whether the hypotenuse - leg (hl)…
(a) Yes; (b) No; (c) No; (d) Yes
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find the perimeter of the figure below, in feet. answer attempt 1 out o…
\(99.4\)
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20. the side of a square was 2.5 meters long. find the area of the squa…
\(6.25\) square meters
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19. the area of a square was 121 square miles. find the length of one s…
The length of one side of the square is \(11\) miles.
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17. the perimeter of the rectangle was 34 feet. if the length of the re…
\(8\) feet
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 47\), \(y = 133\)
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18. the length of another rectangle was 6.4 inches. the width of the re…
\(19.2\) inches
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6. a right triangle has a percent grade of 30%. the slope of the triang…
\(\frac{3}{10}\)
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question given m||n, find the value of x. answer attempt 1 out of 2
\(145^{\circ}\)
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given m||n, find the value of x. answer attempt 2 out of 2 x =
\(x = 59\)
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4. a right triangle has a slope of $\\frac{3}{7}$. if the rise is 9, th…
\(21\)
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a telephone pole is 30 feet tall. a cable attached to the top of the po…
D. 33.5 ### 3.
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3. if a 35 - foot cable were run from the top of the pole and anchored …
For problem 3, there is an error in the problem - setting (assuming a wrong Pythagorean - triple - like relation). If we consider the options, using the Pythagorean theorem \(x=\s…
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2. what is the length of the cable to the nearest tenth of a foot? a. 2…
D. 33.5
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solve. 7 a quilt piece is in the shape of a trapezoid. the top parallel…
The area of the quilt piece is \(30\space cm^{2}\).
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you can use a table to estimate the solutions of a quadratic equation. …
La primera blank se llena con \(1\) y la segunda blank se llena con \(0.21\) (aproximadamente).
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fill in the blank 1 point find the distance between the two points. 21 …
\(2\sqrt{17}\approx8.25\)
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find the distance between point a to point c. round to the nearest tent…
\(15.6\)
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18 fill in the blank 1 point find the exterior angle. 19 multiple choic…
\(113\)
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8. parallelogram klmn k(-1,1) l(4,1) m(2,-2) n(-3,-2)
Perimeter: \(10 + 2\sqrt{13}\); Area: \(15\)
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8. parallelogram klmn k(-1,1) l(4,1) m(2,-2) n(-3,-2)
Perimeter: \(17.22\); Area: \(15\)
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use the following grid to each square represents one unit. 2. a. give t…
i. \(A=(3,8)\) ii. \(C=(6,6)\) iii. \(D=(11,6)\) iv. \(F=(8,3)\) v. \(G=(5,2)\)
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4. given: (overline{fh}) bisects (angle ehg), (angle fehcongangle fgh) …
\(\triangle FEH\cong\triangle FGH\) (by ASA congruence criterion using \(\angle FEH\cong\angle FGH\), \(FH\cong FH\) and assuming the necessary side - angle - side conditions are …
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7. triangle abc a(2,2) b(5,7) c(8,2) perimeter area
Perimeter: \(17.66\), Area: \(15\)
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how many diagonals does a rectangle have?
A rectangle has \(2\) diagonals.
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((2,4)\) Point in final figure: \((-4,4)\)
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6.rectangle qrst q(-4,-1) r(1,4) s(4,1) t(-1,-4) perimeter area
Perimeter: \(16\sqrt{2}\), Area: \(30\)
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8. find n. \\( \\frac { 1 } { 2 } n = 21 \\) \\( n = \\) 9. how many gr…
8. \(n = 42\) 9. \(7500\) grams 10. \(2\) diagonals 11. \(x + 12\)
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11. use the coordinates below to determine if △abc and △def are congrue…
\(AB=\sqrt{85}\), \(BC=\sqrt{29}\), \(AC=\sqrt{202}\), \(DE=\sqrt{29}\), \(EF=\sqrt{202}\), \(DF=\sqrt{85}\). The triangles \(\triangle ABC\) and \(\triangle DFE\) are congruent b…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((-6,3)\) Point in final figure: \((-6,9)\)
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is there a proportional relationship between the corresponding sides of…
There is a proportional relationship between rectangles A and B. There is no proportional relationship between rectangles L and M.
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abcd is a kite, so ac ⊥ db and de = eb. calculate the length of ac, to …
\(10.0\mathrm{cm}\)
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6. in the diagram shown below, point o is located on \\( \\overline{mp}…
\(\triangle MNO\) and \(\triangle NOP\) ### (b)
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abcd is a kite, so ac ⊥ db and de = eb. calculate the length of ac, to …
\(97.5\)
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given circle k with chords (overline{lj}), (overline{ln}), (overline{mj…
\(\angle LJM\) (or \(\angle LNM\))
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Question was provided via image upload.
\(x = 8\)
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exercise #4: the ratio of the measure of either base angle to the measu…
The measure of the vertex angle is \(99^{\circ}\)
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question solve for x. answer
\(x = 6.875\)
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solve for x. 24 10 2x - 5 21 answer
\(x = 6.875\)
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exercise #3: for each isosceles triangle shown below, find the missing …
(a) \(\angle B = 57^{\circ}\), \(\angle C = 57^{\circ}\) (b) \(\angle E = 45^{\circ}\), \(\angle F = 45^{\circ}\) (c) \(\angle J = 50^{\circ}\), \(\angle I = 80^{\circ}\)
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10. polygon abcde a(-3,2) b(7,2) c(7,-3) d(2,-8) e(-3,-3)
Perimeter: \(20 + 10\sqrt{2}\approx34.14\); Area: \(75\)
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which pairs of figures are congruent? which pairs are similar?
- First Pair: Congruent? No; Similar? Yes. - Second Pair: Congruent? No; Similar? Yes. - Third Pair: Congruent? No; Similar? No. - Fourth Pair: Congruent? No; Similar? Yes.
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reasoning 6. in the diagram shown, \\( \\angle c a b \\cong \\angle d a…
(a) Because \(\angle CAB\cong\angle DAB\) (corresponding angles in a reflection). (b) Yes, because a reflection is a rigid transformation and \(A\) is fixed, and \(\overrightarrow…
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6.rectangle qrst q(-4,-1) r(1,4) s(4,1) t(-1,-4)
Perimeter: \(16\sqrt{2}\approx22.63\), Area: \(30\)
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figure below has a point marked with a large dot. , translate the figur…
Point in original figure: \((2,5)\) Point in final figure: \((2,1)\)
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find the area of each polygon. 1. 2. 3. 4.
1. \(27m^{2}\) 2. \(64m^{2}\) 3. \(21m^{2}\) 4. \(110m^{2}\)
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4. right triangle hij is shown graphed in the grid below with vertices …
## (a) \(H(-8,3)\to H'(3,8)\), \(I(-8,7)\to I'(7,8)\), \(J(-2,3)\to J'(3,2)\) ## (b) \(H'(3,8)\to H''(3,-8)\), \(I'(7,8)\to I''(7,-8)\), \(J'(3,2)\to J''(3,-2)\) ## (c) Rotations …
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find the area of the shaded part. 5 cdef is a rectangle with an area of…
\(3\space ft^{2}\)
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b. kaiya is painting her parents house using a ladder. the ladder is 1.…
Yes, the ladder is set up safely.
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find the area of the shaded part. 5 cdef is a rectangle with an area of…
\(9\space ft^{2}\)
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translate the figure 5 units to the right. give the coordinates of the …
Point in original figure: \( (-7,-3) \) Point in final figure: \( (-2,-3) \)
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2. in the diagram below, \\( \\angle p ^ { prime } q ^ { prime } r ^ { …
Perpendicular bisector ### 2.(c)
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the measure of \\( \\angle c \\) is \\( 45 ^ { \\circ } \\). what are t…
\(m\angle A = 90^{\circ}\), \(m\angle B=45^{\circ}\)
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△abc is an isosceles triangle, where \\overline{ab} \\cong \\overline{a…
\( m\angle A = 90^{\circ}\)
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determine the perimeter of $\\triangle jkl$. the triangle is not drawn …
$67$ m
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fluency 1. in \\( \\triangle qrs \\) shown, \\( \\overline{q s} \\cong …
1. (2) 2. (1) 3. (1) 4. (3) 5. (3)
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the measure of \\( \\angle a \\) is \\( 118 ^ { \\circ } \\). what are …
\(m\angle C = 31^{\circ}\)
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digital textbook: click each link below to learn the concepts. each com…
1. definition of perpendicular lines 2. definition of right - triangle 3. reflexive property of congruence 4. Hypotenuse - Leg (HL) congruence theorem
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△abc is an isosceles triangle, where \\overline{ab} \\cong \\overline{a…
\(m\angle B = 31^{\circ}\)
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digital textbook click each link below to learn the concepts. each comp…
2. Definition of segment bisector; 3. Definition of congruent segments; 4. Reflexive property of congruence; 5. SSS (Side - Side - Side)
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using the triangle below, if \\( \\angle c a e \\cong \\angle a e c \\)…
\(AC\) and \(CE\)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by **congruence** (specifically by the SAS congruence criterion for right - angled triangles), so the triangles **are congruent**.
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the measure of the vertex angle of an isosceles triangle is 64°. what i…
\(58\) deg
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the measure of a base angle of an isosceles triangle is 28°. what is th…
\(124\) deg
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the measure of the vertex angle of an isosceles triangle is 58°. what i…
\(61\) deg
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3 6 cm 1 cm 2 cm 2 cm 3 cm 3 cm p = a =
\(P = 34\space\text{cm}\), \(A = 32\space\text{cm}^2\)
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digital textbook click each link below to learn the concepts. each comp…
First blank: definition of a midpoint; Second blank: reflexive property of congruence; Third blank: SAS
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reasoning in this section, you will be exploring why the rotation of a …
Points \(A\), \(C\), and \(A'\) are collinear and \(C\) is the mid - point of segment \(AA'\). # 10.
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel; Graph 2: Neither; Graph 3: Perpendicular; Graph 4: Neither
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Parallel
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Neither Graph 3: Perpendicular Graph 4: Parallel
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modeling with mathematics the path of a basketball thrown at an angle o…
The coordinates of the vertex are \((25,18.5)\). When the basketball is at its highest point, it is \(25\) feet from its starting point and \(18.5\) feet off the ground.
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applications 8. julián is designing a kite. one - half of the kite has …
Follow the steps above to find the reflected points and draw the second - half of the kite.
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find the length of the third side. if necessary, write in simplest radi…
\(9\)
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question find the length of the third side. if necessary, write in simp…
\(10\)
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question find the length of the third side. if necessary, write in simp…
\(1\)