Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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i say this not out of pride, but because now i know how much you love m…
showing hovering attentiveness
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in the figure below, ( mangle1 = 50^{circ} ). find ( mangle2 ).
$40$
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match the rotations of two - dimensional objects to the three - dimensi…
- isosceles triangle: rotated around its base - double cone - circle: rotated around its diameter - sphere - rectangle: rotated around one of its sides - cylinder - right trapezoi…
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in the figure below, ( m angle 2 = 109 ^ { circ } ). find ( m angle 1 ).
\(71^{\circ}\)
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if the two - dimensional figure is rotated about side, \\( \\overline {…
cylinder
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could \\( \\triangle a b c \\) be congruent to \\( \\triangle a d c \\)…
Yes, but only if \(\overline{BC}\cong\overline{DC}\).
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1. determine the area of the composite figure. 13.5 mm 20 mm 9.5 mm
\(159.125\) \(mm^{2}\)
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match each translation of the point (1, -2) to the coordinates of its i…
- 3 units left: \( (-2,-2) \) - 3 units right: \( (4,-2) \) - 3 units up: \( (1,1) \) - 3 units down: \( (1,-5) \)
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imagine you have a cone standing on its circular base. which type of cu…
horizontal cut parallel to the base
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which best explains whether or not \\( \\triangle a b c \\cong \\triang…
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map \(\triangle ABC\) onto \(\triangle LMN\).
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what are the rigid transformations that will map △abc to △def? translat…
Translate vertex \(A\) to vertex \(D\), and then reflect \(\triangle ABC\) across the line containing \(\overline{AC}\).
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graph the image of rhombus tuvw after a reflection over the line y = x.
Plot the points \(T'(5,-10)\), \(U'(5,-4)\), \(V'(9,-2)\), \(W'(9,-6)\) and connect them to get the image of rhombus \(TUVW\) after reflection over the line \(y = x\).
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the proof that \\( \\triangle rst \\cong \\triangle vst \\) is shown. g…
perpendicular bisector theorem
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given: \\( \\overline { hf } \\parallel \\overline { jk } ; \\overline …
\(\angle HFG\cong\angle KJG\) because alternate interior angles are congruent.
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17. match the figures to their number of lines of symmetry. rhombus iso…
- Rhombus: b. two lines - Isosceles triangle: a. one line - Square: c. four lines - Circle: d. infinitely many lines
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5. circle back review questions: 7. find the value of x. vertical angle…
\(x = 4\)
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choose all answers that describe the quadrilateral opqr if m∠o = 125°, …
Quadrilateral, Trapezoid
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what is bc? bc = submit
\(75\)
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what is the area of this figure?
\(127\) \(mm^2\)
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solve for x. find the missing angles. show all work! 1. 2. 3. 4.
\(x = 27\), the angles are \(31^{\circ}\), \(59^{\circ}\) and \(90^{\circ}\)
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if \\( \\overline{tu} \\cong \\overline{uv} \\) and \\( sv = 16 \\), wh…
\(32\)
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if ( ef = fg = 76 ), ( eh = c + 48 ), and ( gh = 7c ), what is the valu…
\(8\)
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prove the following statement using the given pieces of information giv…
included sides between
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what is uv? uv = submit
\(29\)
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if \\( \\overline { s t } \\cong \\overline { s v } \\), \\( t u = a + …
\(80\)
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prove the following statement using the given pieces of information giv…
by the Reflexive Property of Congruence
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answer attempt 1 out of 2 choose all answers that describe the polygon …
Quadrilateral, Parallelogram
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3. describe a rigid transformation that could be used to show that corr…
A translation (a type of rigid transformation) can be used. Translate the line with angles \(1 - 4\) so that it maps onto the line with angles \(5 - 8\). Since translation preserv…
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what is fi? fi = submit
\(68\)
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in the figure shown, lines f and g are parallel. select the angle that …
c. Angle 7
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if ( rs = ru = 60 ), ( st = 3p ), and ( tu = p + 56 ), what is the valu…
\(28\)
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graph the image of parallelogram j k l m after a reflection over the li…
Plot the points \(J'(10,9)\), \(K'(10,6)\), \(L'(9,-1)\), \(M'(8,1)\) and connect them.
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1. find the measure of each angle indicated. 15) 16)
15) \(65^{\circ}\) 16) \(40^{\circ}\)
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which figure is a translation of figure 1? figure
Figure 2
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prove the following statement using the given pieces of information. gi…
because it is one of the given pieces of information.
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question 11 cl. 2 test review - algebra 1 the volume of a right pyramid…
A. \( h=\frac{3V}{B}, 12\) inches
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name two triangles that are congruent by asa choose the correct answer …
\(\triangle MNP\cong\triangle TUV\)
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find the value of y. (3x + 45)° 63° (7x - 7)° (y - 9)°
\(y = 105\)
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graph the image of rectangle stuv after a reflection over the x - axis.
Plot the points \(S'(-7,9)\), \(T'(-1,9)\), \(U'(1,2)\), \(V'(-4,2)\) and connect them.
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which postulate or theorem could you use to prove △mnp ≌ △qrs? choose t…
B. AAS theorem
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if the triangles shown to the right are congruent, write a congruences …
C. $\triangle SAJ\cong\triangle KGO$, SSS
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when cutting a rectangular prism horizontally, parallel to the 3 meter …
\(21\)
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would you use sss or sas to prove the triangles congruent? use only the…
B. \(\triangle ABO\cong\triangle DET\), SAS
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would you use sss or sas to prove the triangles congruent? use only the…
B. \(\triangle ARC\cong\triangle DET\), SAS
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solve the following triangle. a = 70°, b = 70°, c = 10 c ≈ □° (simplify…
\( C = 40^{\circ}\), \( a\approx14.62\), \( b\approx14.62\)
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refer to right triangle abc with c = 90° as shown in the figure (not dr…
\(\sin(A)=\frac{5}{13}\), \(\cos(A)=\frac{12}{13}\), \(\tan(A)=\frac{5}{12}\), \(\cot(A)=\frac{12}{5}\), \(\sec(A)=\frac{13}{12}\), \(\csc(A)=\frac{13}{5}\)
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solve the following triangle. a = 50°, b = 50°, c = 9 c ≈ 80° (simplify…
\(a\approx6.91\), \(b\approx6.91\)
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solve the inequality. express your answer using set notation and interv…
Set - notation: \(\{x|5\leq x\leq7\}\) Interval - notation: \([5,7]\) For the graph, since the solution is \(5\leq x\leq7\), on the number - line, we have a closed - circle at \(x…
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what other information, if any, do you need to prove the two triangles …
C. \(\overline{GT}\cong\overline{NQ}\) is needed because the congruent angles need to be included between two corresponding congruent sides.
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an aircraft (at z) is spotted by two observers (at x and y) who are l =…
\(419.11\)
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complete the two - column proof given: (overline{ea}congoverline{cd}), …
\(\overline{EB}\)
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beth anne marks the points (6,1) and (-9,6) on the coordinate plane. wh…
15.8 units
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find the perimeter: p= l+w+l+w surface that is 34 m wide and 36 m long
\(140\) m
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how could you calculate the distance between points r and s?
The distance between points \( R \) and \( S \) is \( \sqrt{74} \)
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find the perimeter: p = l + w + l + w surface that is 34 m wide and 36 …
The perimeter is \(140\) m. \(3\) m \(38\) cm \(<340\) cm.
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solve the following triangle. a = 50°, b = 50°, c = 9 c ≈ 80° (simplify…
\(a\approx6.91\), \(b\approx6.91\)
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solve the following triangle. a = 50°, b = 50°, c = 9 c ≈ □° (simplify …
\(C = 80^{\circ}\), \(a\approx6.91\), \(b\approx6.91\)
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solve the following triangle. a = 70°, b = 10°, a = 7 c ≈ □° (simplify …
\( C = 100^{\circ}\), \( b\approx1.29 \), \( c\approx7.33 \)
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19. botanical gardens the chief botanist for the regional botanical gar…
# Explanation: ## Step1: Encontrar las coordenadas originales Observando la gráfica, las coordenadas originales son \( L(-4, 3) \), \( M(-3, 3) \), \( N(-2, 2) \) ## Step2: Analiz…
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make a conjecture what properties do you think stay the same after a tr…
angle measures, length, shape, size
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solve the following triangle. a = 10°, b = 70°, a = 3 c ≈ 100° (simplif…
\(b\approx16.24\), \(c\approx17.02\)
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a toy box is designed in the shape of a rectangular pyramid. the volume…
The area of the rectangular base is \(60\) square centimeters. The width of the base is \(6\) centimeters.
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a glass sculpture is shaped like a triangular pyramid. the volume of th…
36
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complete the two - column proof given: ( overline{sj}paralleloverline{p…
Alternate interior angles of parallel lines are congruent.
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distance between each pair of points. 1. (-6.1, -8.4) and (-6.1, -4.2) …
\(4.2\) units
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given a square pyramid with a volume of 180 cubic meters and a height o…
\(s=\sqrt{\frac{(3)(180)}{12}}\)
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15, find the distance between each pair of points. 11. (-6.1, -8.4) and…
\(4.2\)
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question choose all answers that describe the polygon qrst if qr = rs =…
Square, Rhombus, Rectangle, Parallelogram, Quadrilateral
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a sculpture exhibit features a decorative pyramid made of translucent m…
\(38.3\)
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find the measures of the interior angles of the triangle. (see example …
1. The measures of the interior angles are \(30^{\circ}\), \(60^{\circ}\), \(90^{\circ}\). 2. The measures of the interior angles are \(40^{\circ}\), \(65^{\circ}\), \(75^{\circ}\…
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drive - in theater the owner of a drive - in theater wants to relocate …
La rotación es de \(90^{\circ}\) en el sentido antihorario alrededor del punto \((40,10)\)
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11. (-6.1, -8.4) and (-6.1, -4.2) 14. (-5.4, 4.7) and (0.6, 4.7)
For the points \((-6.1,-8.4)\) and \((-6.1,-4.2)\), the distance is \(4.2\) units. For the points \((-5.4,4.7)\) and \((0.6,4.7)\), the distance is \(6\) units.
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what is the volume of the figure if bcde is a square with a side length…
\(169.5\)
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which point would map onto itself after a reflection across the line ( …
A. \((-4,-4)\)
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a prism has a base area of 45 square units and a height of 12 units. wh…
\(V=\frac{1}{3}(45)(12)\) (the fourth option)
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the image of parallelogram pqrs after a reflection across wy is paralle…
6
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the volume of a pyramid can be solved using the formula ( v=\frac{1}{3}…
The total volume of three pyramids with the same base area and height is equal to the volume of a prism with the same base area and height.
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use the formulas developed in this section to find the area of the figu…
\( 147 \)
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how many times greater is the volume of a triangular prism compared to …
three times
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at an archaeological site, the remains of two ancient step pyramids are…
125
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a rectangular prism has a length of 12 units, a width of 8 units, and a…
320
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figure abcd was reflected across the x - axis to create figure abcd wha…
C. (-2, 8)
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what is the pre - image of vertex a if the image shown on the graph was…
B. \((-6,8)\)
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a line segment has endpoints at (-4, -6) and (-6, 4). which reflection …
B. a reflection of the line segment across the y - axis
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the volume of a prism is 420 cubic units. what is the volume of a pyram…
140
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find the distance between point i and point j.
\(5\)
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choose all answers that describe the quadrilateral ijkl if diagonal (ov…
Rhombus, Square
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what is the rule for the reflection? ( r_{y = x}(x,y)\to(-y,-x) ) ( r_{…
B. \( r_{y = -x}(x,y)\to(-y,-x) \)
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find the distance between point i and point j.
\(5\)
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a monument is shaped like a square pyramid with a total volume of 2,400…
19
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choose all answers that describe the quadrilateral vwxy if m\\angle v =…
Rhombus, Square
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find the missing side length. assume that all intersecting sides meet a…
\(7\) yd
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a decorative glass structure is shaped like a square pyramid. each side…
\(81.1\)
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find the missing side length. assume that all intersecting sides meet a…
\(11\) ft
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a water reservoir is shaped like a square pyramid. the base area of the…
\(289.6\)
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what is the volume of the figure if qrst is a rectangle and qr = 2.5 in…
\(67.5\)
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explain how to get the formula for the volume of a pyramid using the vo…
If you have a prism with a specific base area and height, it would take three pyramids with the same base area and height to have the same volume. The formula for the volume of a …
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what is the volume? 7.8 m 8.2 m 2.8 m cubic meters submit
\(179.088\)
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what is the volume? cubic yards
\(140.608\)
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let \\( \\theta \\) be the angle in standard position whose terminal si…
\(\sin(\theta)=\frac{12}{13}\), \(\cos(\theta)=-\frac{5}{13}\)