Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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reflect the figure over the line $y = 3$. plot all of the points of the…
The reflected triangle has vertices at \((-8, -3)\), \((-3, -3)\), and \((-6, 0)\) (plot these points on the coordinate plane).
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m is the centroid of def. dm = 8, mj = 2y, em = 6, fm = 2x \\overline{d…
A. medians
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d the value of x in the diagram below. diagram showing two rectangles l…
\( x = 3 \)
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which rule explains why these triangles are similar? (triangles efg wit…
none of the above; the triangles cannot be proven similar
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question 7 solve for x and y. x = and y = given δrws ≅ δtuv, find the v…
\(x = 7\) and \(y=\frac{13}{3}\)
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are these triangles similar? triangle vut with angle at u: 100°, angle …
yes
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regular fridge and a gigantic fridge (details shown in the table below)…
B. \(2.5\) times
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are these triangles similar? triangle hfg with sides: hf=45, fg=35, hg=…
yes
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identify the 3d shape shown below. choose 1 answer: a cone b cylinder c…
B. Cylinder
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which rule explains why these triangles are similar? q 75 66 s 57 r u 4…
SSS (Side - Side - Side) similarity rule
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akira receives a prize at a science fair for having the most informativ…
\(216\)
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which rule explains why these triangles are similar? triangles rst and …
AA
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how many vertices does the following shape have?
6
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which rule explains why these scalene triangles are similar? t u 30 94°…
none of the above; the triangles cannot be proven similar
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shauns tent (shown below) is a triangular prism. find the surface area,…
\(52.8\)
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what is the volume of the following rectangular prism? image of rectang…
\(6\frac{3}{4}\)
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which rule explains why these scalene triangles are similar? triangle i…
SAS (the option corresponding to SAS, likely one of the radio buttons, but since the options are SSS, SAS, AA, none, the answer is the SAS option, e.g., if the options are labeled…
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which expression represents the surface area of the cube? choose 1 answ…
D. \(25 + 25 + 25 + 25 + 25 + 25\)
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8. a motorcycle race is taking place on a flat surface 3 m above the gr…
c. 374 cm
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find the value of \\(\\cos d\\) rounded to the nearest hundredth, if ne…
$0.92$
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find the exact value of tan w in simplest radical form. answer: (though…
$\frac{3\sqrt{2}}{5}$
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question the right triangle on the right is a scaled copy of the right …
\(\frac{4}{9}\)
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given: ∠xwu ≅ ∠zvt; ∠ztv ≅ ∠xuw; \\(\\overline{tu} \\cong \\overline{vw…
$\triangle ZVT\cong\triangle XWU$ by $ASA$
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answer the questions about figure a and figure b below (a) which sequen…
(a): - Translate Figure A up 5 units, and then dilate that result with scale factor 2 centered at the origin. ### Part (b)
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(a) use the calculator to find the area and circumference of the mirror…
(a) Area: 530.66 cm²; Circumference: 81.64 cm (b) Area (c) Circumference
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answer the questions about figure a and figure b below. (a) which seque…
(a): - Reflect Figure A over the \( y \)-axis, and then dilate that result with scale factor 2 centered at the origin. - Dilate Figure A with scale factor 2 centered at the origin…
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hi || fg and fg ≅ hi. complete the proof that δfhi ≅ δhfg. image of a q…
1. Given 2. Given 3. Alternate - Interior Angles Theorem 4. Reflexive Property of Congruence 5. Side - Angle - Side (SAS) Congruence Postulate
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name the property illustrated by the statement. 2. $overline{cd} \\cong…
Reflexive Property of Congruence ### Problem 3:
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3. the circumference of the circle centered at point s is 136 millimete…
\( 45^\circ \) ### Problem 4
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question 5 of 10 (1 point) | question attempt: 1 of unlimited aleks dis…
Circumference: 238.64 ft Area: 4534.16 ft²
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james has a rectangular piece of paper that is 7 inches wide and 10 inc…
46 square inches
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(a) use the calculator to find the circumference and area of the lawn. …
Circumference
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(a) use the calculator to find the circumference and area of the lawn. …
(a) Circumference: 175.84 ft; Area: 2461.76 ft² (b) Circumference (c) Circumference
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learning goal (from lesson 5) 8. i can recognize that sequences are fun…
34
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level 4, benchmark 1, session 2 a rectangular garden has a width of 8 f…
48
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y is the midpoint of \\(\\overline{vx}\\) and \\(\\overline{uw}\\). com…
1. Given; 2. Given; 3. Vertical Angles Theorem; 4. Definition of midpoint; 5. SAS (Side - Angle - Side) Congruence Postulate; 6. \(\triangle VWY\cong\triangle XUY\) (by SAS)
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(a) use the calculator to find the area and circumference of the park. …
Area: 2461.76 yd² Circumference: 175.84 yd (b) A. Circumference (c) B. Area
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→qt bisects ∠rqs. complete the proof that △qst ≅ △qrt. (image of triang…
1. \( \angle RQT=\angle SQT \) (Reason: Definition of angle bisector) 2. \( \overline{QT}\cong\overline{QT} \) (Reason: Reflexive property of congruence) 3. \( \triangle QST\cong\…
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2. in the diagram, $\\triangle abc \\cong \\triangle dec$. find the val…
Q2: $x=65$, $y=65$ Q3: $x=13.5$, $y=4$
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learning goal from lesson 3 s2 i can graph solutions to linear inequali…
A solid line through $(0,4)$ and $(1,9)$, with shading below the line.
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(a) use the calculator to find the circumference and area of the mirror…
Circumference: 301.44 cm Area: 7234.56 cm² (b) Area (c) Circumference
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16. if v is the incenter of △pqr, qt = 5, vu = 7, and pv = 28, find eac…
SV = 7, QT = 5, PV = 28, PS = 28
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(b) the courtyard will be covered with gravel. which measure would be u…
(b) A. Area (c) Area
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the figure below shows a circular courtyard. its radius is 24 m. (a) us…
Circumference: 150.72 m Area: 1808.64 $m^2$ Measure for gravel: $m^2$
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the diagram shows a convex polygon. 111° 150° 129° 4x−38° 3x 3x+28° 3x …
40
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question 2 of 10 (1 point) | question attempt: 1 of unlimited (a) use t…
(a) Circumference: 150.72 m; Area: 1808.64 $m^2$ (b) Area (c) Circumference
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△fgi is equilateral. complete the proof that △fij ≅ △gih. | statement |…
By the Side - Angle - Side (SAS) congruence criterion, \(\triangle FIJ\cong\triangle GIH\).
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the diagram shows a convex polygon. what is the value of y? y = \\squar…
36
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the diagram shows a convex polygon. what is the value of b? b = \\boxed…
53
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slide the red circle in front of correct answer. 10) which expression i…
D 2x√3x
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y is the midpoint of \\(\\overline{wx}\\) and \\(\\overline{wx} \\perp …
\(\triangle VXY\cong\triangle VWY\) (by SAS congruence criterion)
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(a) use the calculator to find the area and circumference of the lawn. …
Circumference. ## Step5: Answer (c) Fertilizer amount depends on area.
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slide the red circle in front of correct answer. 9) which expression is…
C. $2x^8y^{12}\sqrt{5y}$
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12. make sense and persevere the base and height of a triangle are each…
To find the area of the shaded region, we use the formula for the area of a triangle \( A=\frac{1}{2}\times base\times height \). Let the original base be \( b \) and original hei…
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y is the midpoint of \\(\\overline{wx}\\) and \\(\\overline{wx} \\perp …
\(\triangle VXY\cong\triangle VWY\) by the SAS (Side - Angle - Side) congruence criterion.
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which statements must be true about the image of δmnp after a reflectio…
The image will be congruent to ΔMNP, EG will be perpendicular to the line segments connecting the corresponding vertices, The line segments connecting corresponding vertices will …
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given the vectors m = ⟨2, 1⟩ and n = ⟨-3, -8⟩, find -2m and m - n. writ…
\(-2m=\langle-4,-2 angle\) \(m - n=\langle5,9 angle\)
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given vectors \\( \\mathbf{a} = \\langle 1, -5 \ angle \\) and \\( \\ma…
\(\langle11,1 angle\)
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given: \\(\\overline{be}\\) bisects \\(\\angle dbc\\) and \\(\\overline…
\(\overline{AB}\cong\overline{BC}\) is proved as above.
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determine the equation of the circle graphed below.
# Explanation: ## Step1: Find the center of the circle The center \((h,k)\) of the circle can be determined by looking at the graph. From the graph, the center is at \((-3, 0)\) (…
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determine the equation of the circle graphed below.
\((x + 3)^2+y^2 = 9\)
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determine the equation of the circle graphed below.
The equation of the circle is \(\boldsymbol{(x + 3)^2+(y - 1)^2 = 4}\)
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consider a triangle abc like the one below. suppose that a = 51, b = 66…
\(B = 43.3^{\circ},C = 104.7^{\circ},c = 93.4\) or \(B = 136.7^{\circ},C = 11.3^{\circ},c = 18.8\)
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determine the equation of the circle graphed below.
\((x - 5)^2+(y - 3)^2 = 9\)
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determine the equation of the circle graphed below.
\((x + 6)^2 + (y - 7)^2 = 4\)
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consider a triangle abc like the one below. suppose that b=54, c=64, an…
\(C = 30.0^{\circ},A = 125.0^{\circ},a = 104.7\) or \(C = 150.0^{\circ},A = 5.0^{\circ},a = 11.1\)
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determine the equation of the circle graphed below.
\((x + 6)^2 + (y - 6)^2 = 4\)
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consider a triangle abc like the one below. suppose that a = 66, b = 64…
\(A = 72.1^{\circ}\), \(B = 67.3^{\circ}\), \(C = 40.6^{\circ}\)
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determine the equation of the circle graphed below.
\((x - 4)^2+(y - 2)^2 = 25\)
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determine the equation of the circle graphed below.
\((x + 1)^2 + (y - 5)^2 = 25\)
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consider a triangle abc like the one below. suppose that b=53°, c=82°, …
\( A = 45^{\circ} \), \( b\approx6.8 \), \( c\approx8.4 \)
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the radius of a circle is 13 kilometers. what is the circles circumfere…
81.68 kilometers
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practice working with reflections. what is the rule for the reflection?…
A. $r_{y-axis}(x,y)→(-x,y)$
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determine the equation of the circle graphed below.
\(x^2 + (y - 5)^2 = 25\)
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the diameter of a circle is 26 inches. what is the circles circumferenc…
81.68 inches
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determine the equation of the circle graphed below.
\((x - 4)^2 + (y + 7)^2 = 4\)
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solve the right triangle. round your answers to the nearest tenth. b = …
\(B = 40^{\circ}\), \(a\approx27.4\), \(c\approx35.8\)
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solve for x in the triangle. round your answer to the nearest tenth.
\(9.7\)
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the movement of the progress bar may be uneven because questions can be…
\( l=\frac{1}{2}P - w \) (corresponding to the option \( l=\frac{1}{2}P - w \))
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write a letter that has two or more lines of symmetry.
\( H \) (Other valid answers could be \( X \), \( O \) etc.)
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find cosθ, secθ, and cotθ, where θ is the angle shown in the figure. gi…
\(\cos\theta=\frac{7}{25}\), \(\sec\theta=\frac{25}{7}\), \(\cot\theta=\frac{7}{24}\)
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determine the equation of the circle graphed below.
\((x - 6)^2 + (y - 1)^2 = 4\)
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the circumference of a circle is 100.48 miles. what is the circles diam…
32.00 miles
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the radius of a circle is 8 millimeters. what is the circles circumfere…
50.27
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the circumference of a circle is 106.76 yards. what is the circles radi…
17.00 yards
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the circumference of a circle is 119.32 miles. what is the circles radi…
18.99 miles
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8 the diagram below shows a parallelogram: (4x-20)° 100° solve for x (s…
B. \(x = 25\)
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what is the area of a triangle with a base of 32 yards and a height of …
D. 272 yd²
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there is a diagram (not fully described in text, but includes shapes li…
From top - middle to bottom - right: Parallelogram, Rhombus, Kite
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4. for the point p(3, -3), state the exact primary trigonometric ratios…
Trigonometric ratios: \( \sin\theta = -\frac{\sqrt{2}}{2} \), \( \cos\theta = \frac{\sqrt{2}}{2} \), \( \tan\theta = -1 \); Measure of \( \angle\theta \): \( 315^\circ \) (or \( \…
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graph the line x = -1
To graph \( x=-1 \), draw a vertical line passing through the point \((-1, y)\) for all real - valued \( y\) (a vertical line parallel to the \( y\) - axis and intersecting the \(…
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the diagram below shows isosceles trapezoid klmn. to find the value of …
The base angles of an isosceles trapezoid are congruent.
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in rectangle fghi, diagonals fh and gi intersect at e. ie = 3x+4 eg = 5…
38
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what is the area of the right triangle below? 6 inches 8 inches 10 inch…
B. 24 square inches
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question 11 6.67 pts in kite abcd below, ab = ad, cb = cd, ∠a has a mea…
A. 83°
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question 10 6.67 pts fghi is a rhombus. find m ∠hgi (7x - 1)° (4x + 3)°
35
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label each of the quadrilaterals in the diagram: drag & drop the answer…
From top - left to bottom - right (assuming the order of quadrilaterals as per the flow of the diagram): 1. Rhombus 2. Parallelogram 3. Rectangle 4. Parallelogram 5. Trapezoid 6. …
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question 8 6.67 pts if pqrs is a rhombus, which statement must be true?…
Question 8: \(PQ \cong QR\) Question 9: Squares, Rectangles
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match each shape with the number of sides it has: pentagon heptagon (se…
pentagon - 5, heptagon (septagon) - 7, nonagon - 9, hexagon - 6, quadrilateral - 4, decagon - 10
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the volume of the rectangular pyramid is 360 cubic feet. the height, h,…
A. 12 ft