Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the radius of a circle is 39.9 meters. what is the circles area? round …
\(5001.39\) square meters
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the diameter of a circle is 2 meters. what is the circles area? round y…
\(3.14\)
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the first three steps in the construction for copying a triangle are sh…
Copy segment \(\overline{DE}\) and use it to draw an arc at point \(D'\).
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points a and b are the endpoints of the diameter of circle o. which of …
The second option: Using length \(AB\), draw two arcs, one centered at \(A\) and one centered at \(B\). Mark the points of intersection for the two arcs above and below the circle…
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the unit circle is a circle with radius of type your answer... centered…
1; origin
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quadrilateral abcd is a square. which of the following is true about ab…
C. All of these are true.
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ron has 4 - inch square tiles that he will use to tile the area around …
44
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jamie is making a pendant out of the rhombus - shaped stone below. she …
156
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richard is cutting a piece of baseboard for his bedroom. to make it fit…
140°
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quadrilateral abcd is shown below. which value of v can be used to prov…
\(v = 1\), because the slope of \(\overline{DC}=-3\) and the slope of \(\overline{AB}=-3\) (the third option)
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a triangle has side lengths of $(8.2t - 8.7)$ centimeters, $(8.4t + 3.1…
\(-14.4 + 16.6t + 9.7u\)
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the width of a rectangle measures $(k + 3)$ centimeters, and its length…
\(-12 + 4k\)
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geometry angles and trigonometric ratios which of the following is equi…
\(\cos71^{\circ}\)
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which of the following is closest to the value of x in th figure below?…
51.3
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the isosceles triangle in the diagram below represents the side view of…
\(\cos46^{\circ}=\frac{375}{x}\) (the second option)
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which of the following is closest to the value of x in the figure below…
56.3
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write the equation of the circle graphed below. show calculator
\((x + 2)^2+(y+2)^2=1\)
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the figure below shows a wooden brace for the roof of a building. what …
\(\frac{3}{5}\) (the fourth option)
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ac is tangent to circle o at point c. what is the measure of ∠oac? show…
\(27^{\circ}\)
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an airplane 8 miles from the airport is descending at ar angle of 6° wi…
807 ft
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which statement could be used to fill in the missing step in the proof …
Set the area of the outer square equal to the area of the four triangles and the inner square, then simplify.
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consider the figure below showing three similar triangles. which statem…
Since all three triangles are similar, you can use a proportion to solve for \(\overline{BD}\) and then use the Pythagorean theorem to solve for \(x\) in this equation: \(16^{2}+(…
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what set of reflections would carry hexagon abcdef onto itself? x - axi…
\(y = x,x - axis,y - axis\)
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triangle xyz is shown below. what is the length, to the nearest tenth o…
\(10.1\space cm\) (the fourth option)
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a 10 - foot ladder leans against a wall; the base of the ladder is 2 fe…
9.8 ft
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triangle abc has coordinates a(-8,2), b(4,7), and c(2, -4). what is the…
11.2
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question 9 (multiple choice worth 1 points) (02.51r mc) a triangle has …
\((x,y)\to(x + 1,y + 1)\to(y,x)\)
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convert \\frac{7\\pi}{12} radians to degrees. 12 of 12 question 0.032° …
\(105^{\circ}\) (corresponding to the third option in the multiple - choice list)
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suppose a function ( f(x) ) is defined when ( 0 leq x leq 2pi ). this f…
\(4\)
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the shaded sectors shown below are subtended by congruent angles. the c…
22.9 cm
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treyshaun wants to prove the following: given any \\( \\triangle abc \\…
The fourth option (the one where \(h_1\) is drawn as a perpendicular from \(C\) to the extension of \(BA\)) is the correct position of the auxiliary line.
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using the information given about the triangle show what is the length …
12.5 in
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two sides and one angle measure of the triangle shown are known. which …
Draw an auxiliary line from vertex \(Q\) that is perpendicular to \(\overline{LP}\). Use the sine formula to determine that the length of the auxiliary line is \(18(\sin87^{\circ}…
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12. solve and graph ( x - 6 leq 15 + 8x )
The solution of the inequality \(x - 6\leq15 + 8x\) is \(x\geq - 3\). On the number - line, there is a closed circle at \(-3\) and the line is shaded to the right of \(-3\).
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the width of a rectangle is 8y - 4.5 feet and the length is 4.5y + 9 fe…
\(25y + 9\)
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a 20 - foot - tall pine tree casts a 35 - foot - long shadow on the gro…
\(x^{2}=35^{2}+20^{2}-2(35)(20)\cos90^{\circ}\) (the fourth option)
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catherine starts at point a and walks 50 feet in one direction. jeff al…
30.7 ft
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a bridge across a small bay is 300 meters long. from the west end, a su…
172.2 m
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according to the guidelines set by the ada, wheelchair ramps should be …
\(\frac{\sin85.2^{\circ}}{5}=\frac{\sin90^{\circ}}{x}\) (the fourth option)
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a biologist is studying two cheetahs fitted with radio - tracking colla…
5.0 mi
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dante is proving the law of cosines for an obtuse triangle. what is the…
Subtract the \(c^{2}\) equation from the \(a^{2}\) equation, resulting in \(a^{2}-c^{2}=b^{2}+2bx\).
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10. solve ( 16x - 8 - 9x = 27 ) 11. solve and graph ( 7x - 5 geq 65 ) o…
For problem 10: \(x = 5\) For problem 11: The solution of the compound - inequality is \(x<0\) or \(x\geq10\). On the number - line, we have an open circle at \(x = 0\) and shade …
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if the triangle on the grid below is translated by using the rule $(x,y…
\((0,0)\) Wait, there seems to be a mistake. Let's re - check. ## Step1: Re - find the original coordinates of point B Looking at the grid again, point B is at \((-5,0)\) (since i…
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point a (7, 3) is translated to a(16, -9). which rule describes the tra…
\((x,y)\to(x + 9,y-12)\) (the fourth option)
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assignment 9.3: double - angle, half - angle formulas score: 2/13 answe…
$\sin(2x)=\frac{16\sqrt{17}}{81}$ $\cos(2x)=-\frac{47}{81}$
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4. a squares side length is equal to a circles radius. molly graphed th…
Initially, the line for the circle's circumference is steeper. When the square's side length is equal to the circle's diameter, the line for the square's perimeter is steeper.
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a runner completes a 300° arc on a circular track of radius 50 meters. …
B. \(\frac{250\pi}{3}\) meters
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if a circle has a radius of 7 meters and a central angle of 60°, what i…
d. $\frac{7\pi}{3}$ meters
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if a sector has a central angle of 120° and a radius of 3 meters, what …
a. \(3\pi\) square meters
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which of the following formulas is used to calculate the length of an a…
B. \(L=\theta r\)
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what is the radius of a circle if an arc of 90° has a length of 5π mete…
b. 10 meters
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which formula is used to find the area of a sector? a. a = \\frac{1}{2}…
a. \(A=\frac{1}{2}\theta r^{2}\)
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solve for x and graph the solution on the number line below. -21 ≥ -7x …
Inequality Notation: $x\geq3$ To graph on the number line: place a closed circle at $3$ (because the inequality is $\geq$) and shade to the right.
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if the central angle of a sector is $\\frac{\\pi}{4}$ radians and the r…
A. \(8\pi\) square meters
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if the circumference of a circle is 50 meters, what is the radius? a. 1…
B. \(\frac{25}{\pi}\) meters
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if the circumference of a circle is 50 meters, what is the radius? a. \…
c. \(\frac{25}{\pi}\) meters
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if the circumference of a circle is 50 meters, what is the radius? a. \…
b. \(25\) meters
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\lt1\) For the number - line: Plot an open circle at \(x = 1\) (because the inequality is strict, \(x eq1\)) and draw an arrow to the left (towards the sm…
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solve the inequality and graph the solution on the line provided. 4x + …
Inequality Notation: \(x\leq6\) To graph on the number - line: Place a closed circle at \(x = 6\) (because the inequality is \(\leq\), so 6 is included in the solution set) and dr…
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question solve for x and graph the solution on the number line below. x…
Inequality Notation: \(x\leq5\) To graph \(x\leq5\) on the number line: - Place a closed circle (because the inequality includes equality, i.e., \(\leq\)) at \(x = 5\). - Shade th…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\leq8\) For the number - line: Place a closed circle at \(x = 8\) (because the inequality is \(\leq\)) and shade to the left of \(8\) (since \(x\) is less …
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solve the inequality and graph the solution on the line provided. 6x + …
Inequality Notation: \(x < - 6\) For the number line: Plot an open circle at \(-6\) (because the inequality is strict, i.e., \(x eq - 6\)) and draw an arrow to the left (since \(…
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solve for ( x ) and graph the solution on the number line below. ( 7 + …
Inequality Notation: \(x < - 1\) To graph on the number line: draw an open circle at \(-1\) (because the inequality is strict, \(x eq - 1\)) and shade the line to the left of \(-…
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look at the diagram. which term describes (overline{hj})? median altitu…
none of these
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∠hgi is a right angle. which term describes – ig? median angle bisector…
altitude
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∠pqs is a right angle and qr ≅ pq. which term describes qs? angle bisec…
perpendicular bisector
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∠hgi ≅ ∠igj. which term describes (overline{gi})? median angle bisector…
angle bisector
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look at the diagram. which term describes $overline{sq}$? angle bisecto…
altitude
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look at the diagram. which term describes \\( \\overline { g i } \\)? m…
median
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look at the diagram. which term describes \\( \\overline { c e } \\)? a…
angle bisector
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list the side lengths of \\( \\triangle abc \\) in order from shortest …
\(AB<BC<AC\)
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list the angle measures of (\triangle ijk) in order from smallest to la…
\(m\angle J<m\angle I<m\angle K\)
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give a pair of corresponding angles, a pair of alternate interior angle…
(a) Corresponding angles: \(\angle2\) and \(\angle6\) (b) Alternate interior angles: \(\angle4\) and \(\angle6\) (c) Alternate exterior angles: \(\angle1\) and \(\angle8\)
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the triangle. $m\\angle l=\\square{}^{circ}$ $m\\angle m=\\square{}^{ci…
\( m\angle L = 48^{\circ} \), \( m\angle M = 48^{\circ} \), \( m\angle N = 84^{\circ} \)
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read the excerpt from part 4 of the odyssey. i happened to glance aft a…
Odysseus's men are compared to caught fish, showing their helplessness.
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question which of the following statements must be true based on the di…
\(N\) is the mid - point of a segment in the diagram.
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a rose garden is formed by joining a rectangle and a semicircle, as sho…
\(93.69\) ft
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a training field is formed by joining a rectangle and two semicircles, …
\(345.26\) m
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find the surface area of this triangular prism. be sure to include the …
\(2112\space cm^{2}\)
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the following figure is a rectangle made up of two smaller rectangles. …
- The dark rectangle: \(8x\) - The light rectangle: \(40\) - As a sum of two areas: \(8x+40\) - As a product of the length and width: \(8(x + 5)\)
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use the number line to represent the solution to $2.4x - 6 > - 13.2$. s…
We select the ray with an open circle (the second option in the ray - selection box, the one that is \( \circ ightarrow\)) and place the open - circle at \(x=-3\) on the number li…
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find the area of the figure. (sides meet at right angles.)
$60\mathrm{ft}^2$
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find the area of the figure. (sides meet at right angles.)
$36\ \text{ft}^2$
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consider the triangle to the right. a. write an equation that can be us…
a. \(56 + 56+(5y - 19)=180\) b. \(m\angle K = 56^{\circ}\)
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find the area of the figure. (sides meet at right angles.)
\(33\space m^{2}\)
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amaya is asked to find the side lengths of the triangle shown. what is …
For an isosceles triangle, a leg is congruent to **another leg**. A leg is not necessarily congruent to **the base**. The correct solution found by solving the equation \(2x=3x - …
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the triangle ( abc ) is a dilation of the triangle ( abc ). what is the…
\(\frac{1}{4}\)
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the trapezoid abcd is a dilation of the trapezoid abcd. what is the sca…
\(\frac{1}{3}\)
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the parallelogram ( lmno ) is a dilation of the parallelogram ( lmno ).…
\(\frac{1}{4}\)
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what are the measures of ∠1 and ∠2? explain. the measure of ∠1 is □ bec…
The measure of \(\angle1\) is \(120\) because it is related to one of the angles of the triangle by the linear - pair postulate.
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the triangle ( ghi ) is a dilation of the triangle ( ghi ). what is the…
\(\frac{1}{5}\)
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are these shapes congruent? yes no
yes
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which coordinate is the same as the y - coordinate of point g? which co…
The \(x\) - coordinate of point \(G\) is \(-2\), the \(y\) - coordinate of point \(G\) is \(-1\), the opposite of the \(x\) - coordinate of point \(G\) is \(2\), the opposite of t…
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which coordinate is the same as the x - coordinate of point g? opposite…
Opposite of \(y\)-coordinate of point \(G\)
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are these shapes congruent? work it out not feeling ready yet? these ca…
yes
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are these shapes congruent? work it out
yes
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are these shapes congruent? work it out not feeling ready yet? these ca…
yes
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geometry w/data analysis, honors (1 cr): section 5 (lms) triangle congr…
\(1\)
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which coordinate is the same as the x - coordinate of point a? x - coor…
\(y\) - coordinate of point \(A\)
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what is the distance from point a and point a to each of the axes? poin…
\(A(-1,2)\), \(A'(2,1)\)