幾何
三角形、円、座標幾何、証明問題。
-
find angle x. (1 point)
\(94^{\circ}\)
-
solve for x. question 12 6.25 pts use the perpendicular bisector theore…
\(4\)
-
find the area of this irregular shape. a = ? ft²
\(292\)
-
what is the measure of angle b? question 10 6.25 pts set up an equation…
\(36^{\circ}\) For the second problem (setting up the equation for \(x\)):
-
consider this diagram of triangle \\( \\delta a b c \\). it is given th…
- For $\overline{CD}\cong\overline{CD}$: Reflexive Property of Congruence - For $\angle ACD\cong\angle BCD$: Definition of Angle Bisector - For $\triangle CAD\cong\triangle CBD$: …
-
rounding decimals round to the nearest whole number. 5.636 since the di…
- 8.525 rounded to the nearest whole number: \(9\) - 8.525 rounded to the nearest tenth: \(8.5\) - 8.525 rounded to the nearest hundredth: \(8.53\) - 3.341 rounded to the nearest …
-
question 7 6.25 pts in the diagram ( overline{mp} parallel overline{tr}…
\(115\)
-
in the diagram, \\( \\angle gef \\) and \\( \\angle hfd \\) are exterio…
\(\triangle DEF\) is isosceles.
-
identify prism / pyramid from a net score: 1/5 penalty: 0.25 off : nove…
triangular pyramid
-
question the net below represents a three - dimensional object. which t…
A. cube
-
question which figure represents a net of the solid below? a b c d
A.
-
identify cross sections of solids score: 3.75/5 penalty: 0.25 off quest…
B. triangle
-
identify cross sections of solids score: 2.75/5 penalty: 0.25 off quest…
circle
-
question 3 6.25 pts study this pattern for a quilt. the quilt panel is …
- Point \(G\) is equidistant from points \(A,B,C,D,E,\) and \(F\). - \(\overline{AG},\overline{BG},\overline{CG},\overline{DG},\overline{EG},\) and \(\overline{FG}\) are all congr…
-
identify cross sections of solids score: 1.75/5 penalty: 0.25 off quest…
rectangle
-
given: point m is the midpoint of \\( \\overline{lo} \\) and \\( \\over…
B. Option B: \(\angle LNM\) and \(\angle OPM\) are right angles (Given); \(\angle LNM\cong\angle OPM\) (Right angles are congruent); Point \(M\) is the midpoint of \(\overline{LO}…
-
complete the square and write the given equation in standard form. then…
The equation in standard form is \((x + 1)^{2}+(y + 2)^{2}=1\). The center of the circle is \((-1,-2)\) and the radius is \(1\).
-
ralph wants to prove that his construction of an angle bisector of \\( …
\(\angle QTS\), \(\angle RPS\)
-
writing algebraic equations from word problems 1. fort bend gym charges…
1. - a. Slope \(m = 25\) (cost per month) - b. \(y\)-intercept \(b = 50\) (joining fee) - c. \(y = 25x+50\) 2. \(y=-2000x + 30000\) 3. \(y=0.75x + 3\) 4. \(y = 5x+3\) 5. \(d = 60t…
-
the wheel in the adjacent figure has a radius of 69 feet. the clearance…
\(x^{2}+(y - 84)^{2}=4761\)
-
length / width of a rectangle sheet 2 solve for x and then find the ind…
1) \(x = 6\), width \(=8\) in 2) \(x = 37\), length \(=45\) yd 3) \(x=-3\), length \(=13\) ft 4) \(x = 7\), width \(=91\) in 5) \(x=-5\), width \(=40\) yd 6) \(x = 2\), length \(=…
-
given ( mparallel n ), find the value of ( x ).
\(x = 19\)
-
find the measure indicated. 9) find de 10) find rs 11) find wx 12) find…
9) (There is a mistake in the problem - solving as per given options, but following the rhombus property \(2x + 4=-5 + 5x\), \(x = 3\), if \(DE = 2x+4\) or \(-5 + 5x\) gives \(10\…
-
given ( mparallel n ), find the value of ( x ).
\(x = 24\)
-
given ( mparallel n ), find the value of ( x ).
\(18\)
-
given ( mparallel n ), find the value of ( x ).
\(x = 15\)
-
given ( mparallel n ), find the value of ( x ). answer attempt 2 out of…
\(10\)
-
triangular numbers can be represented with equilateral triangles formed…
No, there is no direct variation. The ratios of triangular numbers to their positions are not constant.
-
find the reference angle for the angle 3.8. the angle is measured in ra…
\(0.66\)
-
rewrite sec 48° in terms of its cofunction. sec 48° = (type an exact an…
\(\csc42\)
-
the vertices of a quadrilateral in the coordinate plane are known. how …
Use the distance formula to find the length of each side, and then add the lengths.
-
hijk is a parallelogram because the midpoint of both diagonals is _____…
\((1,0)\)
-
find a positive angle less than ( 2pi ) that is coterminal with the giv…
\(\frac{17\pi}{9}\)
-
what is the perimeter of \\( \\triangle lmn \\)? 8 units 9 units \\( 6+…
\(8+\sqrt{10}\) units (the fourth option)
-
a road is inclined at an angle of ( 5^{circ} ). after driving 5100 feet…
\(445\)
-
lmnp is a parallelogram. what additional information would prove that l…
\(\overline{LP}\perp\overline{PN}\)
-
find the radian measure of the central angle of a circle of radius ( r …
\(\frac{9}{11}\)
-
in the diagram, ( kl = 2sqrt{2} ), ( lm = sqrt{5} ), and ( mn = sqrt{2}…
\(4\sqrt{2}+2\sqrt{5}\text{ units}\) (the fourth option)
-
this sequence represents the diameters of circles used to create an art…
\(f(n)=0.6n + 1.9\) (the first option)
-
which statement proves that quadrilateral j k l m is a kite? ∠m is a ri…
\(LM = JM = 3\) and \(JK = LK=\sqrt{17}\)
-
in the figure below, ( mangle1 = 32^{circ} ). find ( mangle2 ), ( mangl…
\(m\angle3 = 148^{\circ}\)
-
in the diagram, ( ab = 10 ) and ( ac = 2sqrt{10} ). what is the perimet…
\(20 + 2\sqrt{10}\) units
-
what is the perimeter of kite wxyz? 2\\sqrt{53}+2 units 2\\sqrt{53}+5 u…
\( 2\sqrt{53}+10 \) units (the third option).
-
in the diagram, wz=$\\sqrt{26}$. what is the perimeter of parallelogram…
\( 2\sqrt{26}+8\) units (the fourth option)
-
a grid map marks the plot of harolds garden in meters. the coordinates …
\(46\)
-
which statement proves that quadrilateral hijk is a kite? hi ⊥ ij, and …
\(IH = IJ = 3\) and \(JK = HK=\sqrt{29}\), and \(IH eq JK\) and \(IJ eq HK\)
-
1. essential question what are the properties of the perpendicular bise…
- Perpendicular bisectors: Intersect at circum - center (equidistant from vertices, center of circum - circle). - Angle bisectors: Intersect at in - center (equidistant from sides…
-
name: identifying ordered pairs all quadrants: 51 a) write the point th…
A) 1) \(A\) 2) \(U\) 3) \(R\) 4) \(J\) 5) \(T\) 6) \(M\) 7) \(H\) 8) \(B\) 9) \(Y\) 10) \(L\) B) 11) \((-4,4)\) 12) \((-5,-1)\) 13) \((-2,-3)\) 14) \((-3,1)\) 15) \((2,0)\) 16) \(…
-
5. use the figure shown. a. if ( mangle baf = 15 ) and ( mangle cbf = 5…
a. \(67\) b. \(22\)
-
find the distance between the pair of points. (-2,-3) and (-5,-7) a. 6 …
D. 5
-
bonus 23. (8 pts) the volume of a sphere is given by the equation $v=\f…
\(124807\space L\)
-
in the figure below, ( mangle1 = 32^{circ} ). find ( mangle2 ), ( mangl…
\(m\angle2 = 32^{\circ}\), \(m\angle3 = 148^{\circ}\), \(m\angle4 = 148^{\circ}\)
-
explain how to use the law of sines to find the perimeter of (\triangle…
\(9+\frac{9\sin z^{\circ}}{\sin(180-(x + z))^{\circ}}+\frac{9\sin x^{\circ}}{\sin(180-(x + z))^{\circ}}\)
-
statement reason 1) ray bd bisects \\( \\angle abc \\) 1) given 2) \\( …
A. Division Property of Equality
-
given the figure below, find the values of x and z. (9x + 57)° (5x + 69…
\( x = 3 \), \( z = 96 \)
-
part 2 of 2 use the law of sines to find the values of b and c ( b appr…
\( c\approx8.7 \)
-
statement reason 1) ray bd bisects ∠abc 1) given 2) m∠abd = m∠dbc 2) de…
Subtraction Property of Equality
-
given the figure below, find the values of x and z.
\(x = 8\), \(z = 51\)
-
the vertices of rhombus defg are d(1,4), e(4,0), f(1, -4), and g(-2,0).…
\(20\)
-
1) abc is a triangle 2) $m\\angle a + m\\angle b + m\\angle c = 180^{\\…
C. Substitution
-
use the law of sines to find the values of ( b ) and ( c ). ( b approx …
\( 7.5 \)
-
which steps will verify that a parallelogram is a rectangle? check all …
- Calculate the lengths of the diagonals, and show that they are equal. - Calculate the slopes of every side, and show that adjacent sides are perpendicular.
-
statement reason 1) abc is a triangle 1) given 2) m∠a + m∠b + m∠c = 180…
Division Property of Equality
-
in the figure below, o || n. find the values of x and z. * x: one of th…
\(z = 29\), \(x = 67\)
-
triangle abc is an isosceles triangle in which side ab = ac. what is th…
\(10+\sqrt{10}\text{ units}\) (the second option)
-
prove \\( \\angle z \\) is a right angle what geometric reason justifie…
Substitution
-
mary thinks the triangle is equilateral. how would you support or dispu…
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
-
current skill $ show a find the perimeter of the rectangle below. 5.9 m…
\(61.8\) millimeters
-
1. a 2d shape can be measured in which two directions? (1.0 points)
Length and width.
-
which property is illustrated in this statement? $m\\angle a = m\\angle…
Reflexive Property
-
decide if this statement is valid or invalid. all squares are rectangle…
Valid
-
decide if this statement is valid or invalid. all geometry students are…
Valid
-
decide if this biconditional statement is true or false. two angles add…
True
-
decide if this biconditional statement is true or false. a polygon is a…
True
-
write the points coordinates:
\((0,-4)\)
-
write the points coordinates:
\((-5,0)\)
-
explain how you would find the distance xy across the lake shown below,…
B. Draw a perpendicular segment from \(Y\) to the segment representing \(200m\). Then draw the segment \(XY\). A right triangle is formed with side lengths \(100m\) and \(150m\). …
-
explain how you would find the distance xy across the lake shown below,…
B. Draw a perpendicular segment from \(Y\) to the segment representing \(200m\). Then draw the segment \(XY\). A right triangle is formed with side lengths \(100m\) and \(150m\). …
-
a door is 7 feet 9 inches tall and 48 inches wide. can an 8 - foot - sq…
Yes
-
complete the square and write the given equation in standard form then …
The equation of the circle in standard form is \((x + 4)^{2}+(y - 1)^{2}=36\). The center of the circle is \((-4,1)\). The radius of the circle is \(r = 6\)
-
for each of the following pairs of points, find the length of \\( \\ove…
\(\sqrt{17}\)
-
for each of the following pairs of points, find the length of \\( \\ove…
15
-
for each of the following pairs of points, find the length of \\( \\ove…
\(1\)
-
for each of the following, solve for the unknowns. a. b. a. ( x = 24 ) …
\(x = 16\) and \(y = 8\)
-
complete the square and write the given equation in standard form. then…
The equation of the circle in standard form is \((x + 4)^{2}+(y - 1)^{2}=36\) The center of the circle is \((-4,1)\) The radius of the circle is \(r = 6\)
-
for each of the following, solve for the unknowns. a. b. a. ( x=square …
\(x = 24\)
-
find the areas of the figures for parts (a) and (b) below (a) area = 49…
\(300\sqrt{7}\)
-
in the figure, two poles are 25 m and 40 m high. a cable 29 m long join…
\(24.8\) m
-
determine whether the given numbers represent the lengths of sides of a…
No
-
abc is shown. triangle abc is rotated 90° counterclockwise about point …
\((2,6)\)
-
use the pythagorean theorem to find x and y in each of the following. c…
\( x=\sqrt{931}\) and \( y = \sqrt{706}\)
-
3) 24° 12 5.3
$x\approx5.3$
-
parallel lines e and f are cut by transversal b. what is the value of x…
\(x = 25\)
-
use the pythagorean theorem to find x and y in each of the following. c…
\( x = 2\sqrt{3}\) and \( y=2\sqrt{2}\)
-
parallel lines e and f are cut by transversal b. what is the value of x…
\( 26 \) (the third option)
-
letters a, b, c, and d are angle measures. which should equal 105° to p…
d
-
lines c and d are parallel lines cut by transversal p. which must be tr…
\(\angle2 = \angle6\)
-
given: (angle t=angle v;overline{st}paralleloverline{uv}) prove: (overl…
2. Alternate - Interior Angles Theorem; 4. Transitive Property of Equality; 5. Converse of the Alternate - Interior Angles Theorem
-
which of the following transformations would preserve distance when app…
- Reflection over the \(y\) - axis - Rotation \(180^{\circ}\) counterclockwise about the origin - Reflection over the line \(y=-x\) - Translation along the vector \(\langle1,-3 an…
-
given: ( l parallel m ); ( angle 1 cong angle 3 ) prove: ( p parallel q…
corresponding angles theorem