几何
三角形、圆、解析几何与证明题。
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**#6.) error analysis name the sequence of rigid motions that maps quad…
Stiles is incorrect because a translation \(T_{5,-2}\) is not the correct rigid - motion. The correct sequence of rigid motions is a reflection over the \(x -\)axis followed by a …
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in circle b with m∠abc = 68° and ab = 16, find the area of sector abc. …
\(151.84\)
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**#3.) what is a sequence of transformations that would map ab onto ab?…
h) \(R_{-90}\circ r_{x - axis}\)
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these solids are similar. find the volume of the larger solid. r = 3 cm…
\(243\mathrm{cm}^3\)
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these solids are similar. find the volume of the smaller solid. r = 3 m…
\(54\space m^{3}\)
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these solids are similar. find the surface area of the larger solid. r …
\(275\)
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find the missing side length in these similar solids. 12 cm 3 cm 2 cm
\(8\)
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in circle h with ( mangle ghj = 54^{circ} ) and ( gh = 17 ), find the a…
\(136.19\)
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find the missing side length in these similar solids. 4 m 6 m 3 m
\(2\)
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which of the following graphs represents the solution(s) of the followi…
The graph with a downward - opening parabola \(y=-x^{2}+7\) and a circle \(x^{2}+y^{2}=49\) (the second graph from the left among the given options, assuming the order of analysis…
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find the volume of this sphere. use 3.14 for π. 2.5 cm volume of a sphe…
The volume of the sphere is approximately \(65.42\) \(cm^{3}\).
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find the volume of this sphere. use 3.14 for π. volume of a sphere v = …
\(904.32\)
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find the volume of this cone. use 3.14 for π. volume of a cone v = 1/3 …
\(150.72\space cm^{3}\)
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what is the maximum number of solutions each of the following systems c…
Two distinct concentric circles: \(0\) Two distinct parabolas: \(4\) A line and a circle: \(2\) A parabola and a circle: \(4\)
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find ( mangle jfh ). explain your reasoning. ( mangle jfh=square^{circ}…
\(47\)
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each small square on the grid is 1 in². which estimate best describes t…
\(20\space in^{2}\)
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find the volume of this square pyramid. volume of a pyramid $v = \\frac…
\( 98\mathrm{cm}^{3}\)
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what is the area of a parallelogram whose vertices are ( a(-1,12) ), ( …
\(238\)
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find the volume of this prism. 6 m 4 m 8 m volume of a prism v = bh v =…
\(192\)
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find the surface area of this sphere. use 3.14 for π. surface area of a…
\(12.6\)
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calculator what is the area of rhombus ( abcd )? enter your answer in t…
\(36\)
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find the surface area of this sphere. use 3.14 for π. surface area of a…
\(1256.0\)
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find the surface area of this cone. use 3.14 for π. surface area of a c…
\(125.6\) \(m^{2}\)
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use the given information to prove that \\( \\triangle def \\cong \\tri…
3. \(DFG\) 4. Given 5. Reflexive property of congruence 6. AAS (Angle - Angle - Side) congruence criterion
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what is the perimeter of a polygon with vertices at $(-1,3)$, $(-1,6)$,…
\(23\)
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find the surface area of this square pyramid. 6 cm 3 cm surface area of…
\(45\)
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in circle h with ( mangle ghj = 114^{circ} ) and ( gh = 13 ) units, fin…
\(25.87\)
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find the surface area of this cylinder. use 3.14 for π. surface area of…
\(251.2\)
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what is the area of a triangle with vertices at $(-2,1)$, $(2,1)$, and …
\(6\)
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calculator what is the perimeter of the rectangle shown on the coordina…
# Explanation: ## Step1: Find the length of one side using distance formula Let's assume two adjacent vertices of the rectangle. For example, if we take two points \((x_1,y_1)\) a…
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find the surface area of this prism. 6 m 8 m 4 m surface area of a pris…
\(208\)
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find net of this solid.
The first option (the one with six rectangles arranged in a cross - like pattern) is the net of the given rectangular prism.
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think about the graphs of the equations in the following system. $x^{2}…
circle with its center at \((0, 0)\) and a radius of \(\sqrt{2}\); parabola opening up with its vertex at \((0, -3)\)
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what is the area of a rectangle with vertices at $(-4,0)$, $(-3,1)$, $(…
\(6\)
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think about all of the ways in which a circle and a parabola can inters…
0, 1, 2, 3, 4
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find the measure of angle y. (just put the number!!!!) * your answer th…
Angle \(Y\): \(30\) Angle \(E\): \(54\)
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find the measure of angle x. (just put the number!!!!) * your answer fi…
\(30\) \(30\)
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which equation would you use to solve for x? * solve for x. (just put t…
The equation is \(11x - 10+80 = 180\) and \(x = 10\)
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use slope to determine if lines pq and rs are parallel, perpendicular, …
The slope of line \(PQ\) is \(\frac{3}{2}\), the slope of line \(RS\) is \(\frac{3}{2}\), and the lines \(PQ\) and \(RS\) are parallel.
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which equation would you use to solve for x? * solve for x. (just put t…
\(50\)
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which equation would you use to solve for x? * solve for x. (just put t…
The equation is \(5x - 9=3x + 11\) and \(x = 10\).
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in the triangle below, ∠k is a right angle. suppose that m∠j=(3x + 41)°…
(a) Equation: \(4x+(3x + 41)+90=180\) (b) \(m\angle L = 28^{\circ}\), \(m\angle K=90^{\circ}\), \(m\angle J = 62^{\circ}\)
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which equation would you use to solve for x?* solve for x. (just put th…
10
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solve for x. (just put the number!!!!) * your answer
\(28\)
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in the triangle below, \\( \\angle g \\) is a right angle. suppose that…
(a) Equation: \((2x + 9)+(3x + 6)+90=180\) (b) \(m\angle G = 90^{\circ}\), \(m\angle F=39^{\circ}\), \(m\angle H = 51^{\circ}\)
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which equation would you use to solve for x?*
\(x + 6+3x + 14 = 180\)
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solve for x. (just put the number!!!!)*
40
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proofs practice cut + paste activity directions: cut out the answer opt…
1. Given 2. Given 3. Definition of complementary 4. Definition of complementary 5. Vertical Angle Theorem 6. Definition of congruence 7. Substitution property 8. Substitution prop…
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find the measure of angle m. (just put the number!!!!!) * your answer
\(113\)
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in the triangle, suppose that ( mangle d=(6x - 3)^{circ}), ( mangle e=(…
(a) Equation: \(x+(4x + 7)+(6x-3)=180\) (or \(11x + 4=180\)) (b) \(m\angle F = 16^{\circ}\), \(m\angle E=71^{\circ}\), \(m\angle D=93^{\circ}\)
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geometry november 14, 2025 review for quiz #04 name: period: 1 2 4 7 (c…
(i.) SSS; (ii.) None; (iii.) SAS; 2. \(\angle ABC\cong\angle DFE\), \(BC\cong EF\), \(\angle ACB\cong\angle DEF\)
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find the length of side x in simplest radical form with a rational deno…
$9\sqrt{3}$
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find the length of side ( x ) in simplest radical form with a rational …
\(2\sqrt{3}\)
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solve for x. round to the nearest tenth, if necessary. 3.2 38° x
\(x\approx2.0\)
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solve for x. round to the nearest tenth, if necessary. answer attempt 2…
\(71.3\)
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2. solve for x. then find the side lengths of the triangle. 2x ft 6x ft…
\(x = 25\sqrt{2}\approx35.36\), side lengths are \(50\sqrt{2}\approx70.71\) ft, \(200\) ft, \(150\sqrt{2}\approx212.13\) ft.
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click on the length of the arrow. 0 inches 1 2 3 4 5 6 7 8 9 10 11 12 2…
\(1\frac{1}{2}\) inches
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marisol bought a rug that is 8 feet long and 5 feet wide. what is the a…
40 square feet
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29. b = x + 30, h = 5x - 14 type of angle pair _ relation _ x = _ 30. a…
For problem 29: \(x = 11\) For problem 30: \(x = 25\)
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b. in the figure above $\\angle 1 = 8x - 11$, $\\angle 3 = 2x + 61$, $x…
Yes, \(u\parallel v\) because \(\angle1 = 8\times12-11=85^{\circ}\) and \(\angle3=2\times12 + 61=85^{\circ}\), and by the converse of the corresponding angles postulate (if corres…
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a. in the figure above ∠1 ≅ ∠4. is u || v? choose your answer... how do…
Yes, \(u\parallel v\) because \(\angle1\cong\angle4\) (by the converse of the alternate - exterior angles theorem).
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which shape is not a rectangle?
The orange - colored parallelogram - shaped figure is not a rectangle.
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a rectangle is divided into equal parts. which statement is true? the l…
All the equal parts must have the same area.
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which statement is true? every rhombus has square corners. every rhombu…
"Every rhombus has 2 pairs of parallel sides."
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which statement is true? a trapezoid has one pair of parallel sides. a …
A. A trapezoid has one pair of parallel sides.
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65 + 115 = 180 is l || m? choose your answer... how do you know? choose…
Yes, \(l\parallel m\) because the sum of consecutive interior angles (\(65^{\circ}\) and \(115^{\circ}\)) is \(180^{\circ}\) (by the consecutive interior angles theorem for parall…
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which best describes one way to show \\frac{1}{3} shaded? draw a circle…
Draw a circle and cut it into 3 equal parts. Shade 1 part.
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which type of angle is shown? straight obtuse right acute
acute
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which statement about these triangles is true? triangles b and e are ob…
Triangles A and B are acute.
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what is the distance from point f to point g?
4 units
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find the value of the variable if ( m parallel l ). ( m angle 3 = 16 + …
\(x = 8\)
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click on the ordered pair for point e.
\((4,7)\)
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find the value of the variable if ( mparallel l ). ( mangle 1 = 3x + 41…
\(14\)
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click on the obtuse angle.
The first angle (the one that is between \(90^{\circ}\) and \(180^{\circ}\)) is the obtuse angle.
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find the value of the variable if ( mparallel l ). ( mangle4 = 12x - 1 …
\(x = 7\)
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which triangle has an obtuse angle?
The second triangle.
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which statement is true? a rhombus always has 4 equal - length sides an…
A rectangle always has 2 pairs of parallel sides and 4 square corners.
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this circle is divided into equal parts. what fraction describes the pa…
$\frac{1}{8}$
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10. understand what does it mean for a figure to have reflectional symm…
Reflectional symmetry: A figure has reflectional symmetry if there exists a line (axis of symmetry) such that when the figure is folded along that line, the two halves match exact…
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enter the given angle measure into the diagram. given: • oi bisects ∠do…
\(80\)
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3. list the angles of rotation for which the figures have rotational sy…
a. \(180^{\circ}\), \(270^{\circ}\) b. \(120^{\circ}\)
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2. alberto listed 90°, 180°, and 270° as the angles of rotation for whi…
Alberto missed the angles \(45^{\circ},135^{\circ},225^{\circ},315^{\circ}\) which are also angles of rotational symmetry for the figure (a regular - like octagon). The correct an…
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enter the given angle measure into the diagram. given: • ∠ceq ≅ ∠bed • …
\(140\)
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enter the given angle measure into the diagram. given: • ∠ceq ≅ ∠bed • …
\(m\angle BEQ = 70^{\circ}\)
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1. a line of symmetry divides a figure into two congruent halves. for e…
a. 4 b. 6 c. 5 d. 2
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fill in the blank 1.5 points assuming the lines are parallel: what type…
- Type of angles: Alternate exterior angles - Congruent or supplementary: Congruent - $m\angle1$: $20^{\circ}$
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assuming the lines are parallel: what type of angles are ∠1 & ∠8? are t…
\(155^{\circ}\)
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what type of angles are ∠1 & ∠2? choose your answer... are these angles…
- Type of angles: Supplementary - \(m\angle2 = 50^{\circ}\)
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find an expression for the perimeter of the figure. 25 × 2z z 3 4z 6 3 …
\(10z + 18\)
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enter the given angle measure into the diagram. given: • ∠ceq ≅ ∠bed. •…
\(70\)
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3. given the diagram below, what statement could you make about the rel…
∠1 is congruent to ∠4.
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geometry part 2 ae teacher (acc ed) / logic m 1 2 n 3 4 p m∠1 + m∠4 = 1…
\(m\angle2 + m\angle3 = 180\)
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in the graph below, circle ( p ) is the image of circle ( p ) after a d…
scale factor: \(\frac{2}{3}\) center of the dilation: \((3,1)\)
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which triangles in the coordinate plane are congruent to triangle a bec…
Triangle D.
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△abc is reflected across the x - axis and then translated 4 units up to…
A. \( A'(-3,3), B'(-1,1), C'(-2,3) \)
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which notation describes this transformation? a. $(x,y)=(-x,-y)$ b. $(x…
C. \((x',y')=(x - 8,y - 8)\)
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△abc underwent a sequence of rigid transformations to give △abc. which …
A. a reflection across the \(y\) - axis followed by a reflection across the \(x\) - axis
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find the measure of ∠1.
\(115^{\circ}\)
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given: \\( \\overline { c d } \\cong \\overline { b e } , \\overline { …
Row 3: \( \overline{BC}\cong\overline{AC}\); Row 4: \( \angle ACD\cong\angle BCE\); Row 5: \( \triangle ACD\cong\triangle BCE\), SAS.
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given: $overline{ab}||overline{dc}$ and $overline{ad}||overline{cb}$ pr…
1. \( \angle DBA\cong\angle BDC\) (Alternate Interior angles are congruent) 2. \( \angle ADB\cong\angle CBD\) (Alternate Interior angles are congruent) 3. \( \overline{BD}\cong\ov…