几何
三角形、圆、解析几何与证明题。
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this is a 30-60-90 triangle. what is the measure of x? x = ?√
$x = 5\sqrt{3}$
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this is a 30 - 60 - 90 triangle. what is the measure of x? 8 x x = ?
$16$
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1. lines v and w are parallel. which statement can you not deduce from …
\(m\angle3 + m\angle5 = 180^{\circ}\)
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name the quadrant or axis where each point lies. (-5, 3): (choose one) …
$(-5,3)$: Quadrant II $(3,3)$: Quadrant I $(-7,-6)$: Quadrant III $(7,0)$: $x$ - axis
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name the quadrant or axis where each point lies. (6, -3): (choose one) …
$(6,-3)$: Quadrant IV $(-4,1)$: Quadrant II $(0,7)$: $y$-axis $(4,4)$: Quadrant I
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10. look at the figure. describe the relationship between $overline{ap}…
$\overline{AP}$ and $\overline{BP}$ are congruent.
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9. look at the figure. describe the relationship between $overrightarro…
$\overrightarrow{RG}$ intersects $\overrightarrow{EF}$ at its midpoint.
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look at the figure. drawing a transversal is the first step of which co…
a line parallel to $\overline{HJ}$ through point $N$
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7. look at the figure. which construction is illustrated? a line perpen…
a line perpendicular to $\overline{AB}$ through point $P$
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6. describe two lines that intersect and form right angles. perpendicul…
perpendicular lines
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5. this figure is a step in which construction? a line perpendicular to…
a line parallel to \(\overline{EF}\) through point \(R\)
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4. look at the figure. in the construction, the compass point is placed…
The segments are congruent.
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1. in the figure, (overrightarrow{cp}) and (overrightarrow{pb}) are per…
$90^{\circ}$
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2. point p is not on line l. describe the shortest distance from the po…
a line that is perpendicular to line $\ell$
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1. this figure is a step in which construction? a line parallel to ab t…
a line perpendicular to \(\overline{AB}\) through point \(P\)
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7) find x. 9) find x. 6) find x. 8) find x.
7) \(x = 27\) 8) \(x=\frac{37}{3}\) 9) \(x = 2.4\) 6) \(x = 29\)
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5) a city planner is designing a park. he wants to place two pathways t…
C. \(m\angle FEH = 88^{\circ}\)
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examples: answer each of the following regarding special angle pairs. 4…
a) 4 pairs of adjacent angles: ($\angle ABE,\angle EBC$), ($\angle EBC,\angle CBD$), ($\angle CBD,\angle DBA$), ($\angle DBA,\angle ABE$) b) 2 pairs of vertical angles: ($\angle A…
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graph the image of u(7, 0) after a reflection over the line y = 4.
The image of the point $U(7,0)$ after reflection over the line $y = 4$ is $(7,8)$.
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examples: answer each of the following regarding special angle pairs. 4…
a) 4 pairs; $\angle ABE$ and $\angle EBC$, $\angle EBC$ and $\angle CBD$ b) $\angle ABE$ and $\angle CBD$, $\angle EBC$ and $\angle ABD$ c) 2 pairs; $\angle ABE$ and $\angle EBC$,…
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use the diagrams. name a pair of nonadjacent complementary angles.
∠LMJ and ∠MNJ
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graph the image of c(-8, -8) after a reflection over the x - axis.
The new coordinates of point C after reflection over the x - axis are $(-8,8)$.
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comparing integers we can use a number line to compare the value of int…
1. 3 > - 12 2. - 7 > - 13 3. - 25 < - 16 4. 12 > - 3 5. 5 > - 9 6. - 2 < 0 7. 22 > - 22 8. - 5 > - 50 9. - 32 < - 17 10. - 53 < - 18 11. - 10 > - 24 12. 21 > - 75 13. Circle 9 < -…
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use the diagrams. name a pair of adjacent complementary angles.
∠LJM and ∠MJN
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1) use the figure to identify the angles or parts of angles that satisf…
2. $m\angle DBE = 60^{\circ}$ 3. $m\angle JKN=83^{\circ}$
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use the diagrams. name a pair of nonadjacent supplementary angles.
$\angle KJL$ and $\angle LJP$
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use the diagrams. name a pair of adjacent supplementary angles.
$\angle KJL$ and $\angle LJM$
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suppose the tip of the minute hand of a clock is 4 in. from the center …
$52\pi$ inches
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question 15 graphics made up of points and lines using mathematical for…
Vector graphics
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suppose an arc of length s lies on the unit circle x² + y² = 1, startin…
\((-0.5048,-0.8632)\)
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graph the image of △cde after a rotation 90° counterclockwise around th…
Graph the new triangle formed by the rotated vertices on the coordinate - grid. (Note: Since the actual coordinates of $C$, $D$, $E$ are not given numerically, a full numerical an…
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the length of the hypotenuse, line segment ac, in right triangle abc is…
$53.1^{\circ}$
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which equation can be used to find the measure of angle bac? ○ tan⁻¹(5/…
\(\tan^{-1}(\frac{12}{5}) = x\) (corresponding to the second option in the multiple - choice list)
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graph the image of △cde after a rotation 90° counterclockwise around th…
# Explanation: ## Step1: Recall rotation rule The rule for a 90 - degree counter - clockwise rotation around the origin is $(x,y)\to(-y,x)$. ## Step2: Identify vertices of $\trian…
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which equation can be used to solve for the measure of angle abc? o tan…
$\tan(x)=\frac{2.4}{10}$
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which is the best approximation for the measure of angle xyz? 33.6° 39.…
$39.8^{\circ}$
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the length of the hypotenuse, line segment gh, in triangle gjh measures…
$19.5^{\circ}$
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a thread is being pulled off a spool at the rate of 67.3 cm per sec. fi…
$5.54$
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graph the image of rectangle tuvw after a rotation 180° counterclockwis…
Graph the rectangle with vertices $(-5,-1)$, $(-8,-1)$, $(-8,-9)$, $(-5,-9)$
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4. reflect on which trajectory or pattern of decline you would hope a l…
a. Answers will vary from person to person. b. Answers will vary from person to person. 5. Answers will vary from person to person, depending on their feelings (e.g., could circle…
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identify two segments that are marked congruent to each other on the di…
$GK$ is congruent to $HI$
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determining an angle of depression a helicopter flies 665 feet above gr…
$67^{\circ}$
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give the location of madrid as an ordered pair (x, y).
$(-6,-6)$
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determining an angle of elevation. a boat is 122 meters from the base o…
$16$
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solving a real - world problem a playground slide is 14.5 feet long wit…
$36^{\circ}$
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solving for the unknown angle measures of a right triangle. besides the…
B. $23^{\circ}$ and $67^{\circ}$
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what are the coordinates of the point that corresponds to $-\frac{5pi}{…
$(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$
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find the area of the sector of a circle having radius r and central ang…
$A\approx16.44$ $cm^{2}$
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multiple choice: based on the information in the excerpt, olaudah equia…
C. the Middle Passage
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determining unknown angle measures of a right triangle determine the un…
$m\angle D = 46^{\circ}$ $m\angle F = 44^{\circ}$
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identify two angles that are marked congruent to each other on the diag…
∠I is congruent to ∠L
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how long is an arc intercepted by the given central angle in a circle o…
$32.86$
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a city park is rectangular in shape. the longer side of the park is 500…
1466
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determining an angle of depression. use the diagram and complete the st…
19
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determining an angle of depression. use the diag measure of hoop to lis…
inverse tangent; 19
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etermining an angle complementary congruent supplementary the angle of …
congruent; tangent; 19
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hexagon abcdef → hexagon abcdef. how can the transformation shown be de…
dilation, nonrigid transformation, stretch
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determining an angle of depression. use the diagram and complete the st…
The length of the shortest leg of the right triangle that formed is \(3.5\) feet. The angle of depression from the hoop to Lisa is equal to the angle of elevation from Lisa's line…
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right triangle abc has its right angle at c. ac = 12 and bc = 5. which …
\(\sin B=\frac{12}{13}\), \(\cos A=\frac{12}{13}\), \(\sin A=\frac{5}{13}\)
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question given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 52\)
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what is the surface area of this sphere? round your answer to the neare…
$2.01$
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what are the coordinates of point u? write your answer as an integer or…
(-3, - 5)
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle FGH\cong\triangle DCB\)
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two parallel lines are intersected by a third line so that angles 1 and…
They are congruent.
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alissa is framing a rectangular picture with length 10 inches and width…
$2x + 8$
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for each part below, use the figure to fill in the blank. if necessary,…
(a) $70$ (b) $60$
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what is the surface area of this cone? round your answer to the nearest…
91.48
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the radius of a circle is 2 yards. what is the circles area? round your…
$12.57$ square yards
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solve the triangle. write each answer as an integer or as a decimal rou…
$m\angle Q\approx99.6^{\circ}$ $m\angle R\approx19.1^{\circ}$ $m\angle S\approx61.3^{\circ}$
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triangle lmn has sides measuring 7 meters and 6 meters and a perimeter …
9 square meters
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what is the value of a? write your answer as an integer or as a decimal…
$1.9$
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are these triangles similar? yes no
no
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are these triangles similar? yes no
no
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6 select the correct answer from each drop - down menu determine the nu…
Polygon $ABCDEFG$ may be divided into 5 triangles. The total interior angle measure of each triangle is $180^{\circ}$. The total interior angle measure of polygon $ABCDEFG$ is $90…
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which is the best way to complete the text? francis scott key penned th…
Fort McHenry; he
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given m || n, find the value of x and y.
\(x = 119^{\circ}\), \(y = 61^{\circ}\)
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writing equations using trigonometric ratios which equations could be u…
$\sin(45^{\circ})=\frac{BC}{9}$
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given right triangle pqr, which represents the value of sin(p)? o $\fra…
$\frac{RQ}{PQ}$ (the third option)
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the figure shows quadrilateral pqrs. diagonals $overline{pr}$ and $over…
C. $\overline{PS}\parallel\overline{QR}$ and $\overline{PS}\cong\overline{QR}$ D. $\overline{PQ}\cong\overline{SR}$ and $\overline{PS}\cong\overline{QR}$ F. $\overline{PT}\cong\ov…
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given m || n, find the value of x and y.
\(x = 61\), \(y = 61\)
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given m || n, find the value of x and y.
$x = 136^{\circ}, y = 136^{\circ}$
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find the length of $overline{ac}$. use that length to find the length o…
$7.3$ cm (There seems to be an error in the provided options as the correct value after calculation and rounding is $7.3$ cm)
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which equation can be solved to find one of the missing side lengths in…
\(\cos(60^{\circ})=\frac{a}{12}\) (equivalent to the first option \(\cos(60^{\circ})=\frac{12}{ \frac{12}{a}}\) after proper cross - multiplication)
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find the length of each side of the triangle determined by the three po…
$d(P_1,P_2)=2\sqrt{109}$ $d(P_1,P_3)=\sqrt{218}$ $d(P_2,P_3)=\sqrt{218}$ The triangle is both isosceles and a right - triangle.
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given right triangle jkm, which correctly describes the locations of th…
a is the hypotenuse, b is opposite, c is adjacent
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given right triangle xyz, what is the value of tan(y)? o 1/2 o √3/3 o √…
$\frac{\sqrt{3}}{3}$
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given m || n, find the value of x and y.
\(x = 55\), \(y = 125\)
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select the correct answers from each drop - down menu. complete the ste…
$IT = 3\sqrt{5}$; The reason KITE is a kite: two consecutive pairs of adjacent sides have equal lengths
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in which diagram do angles 1 and 2 form a linear pair?
The second diagram.
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select the correct answer. rhombus efgh is shown. what is the length of…
B. 6
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given l || m || n, find the value of x.
\(x = 45\)
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the point q is plotted on the coordinate grid below. plot the point q, …
Plot the point with the same $x$-coordinate as $Q$ and the $y$-coordinate that is the negative of the $y$-coordinate of $Q$.
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figure jklm is a parallelogram. the measures of line segments mt and tk…
7
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answer attempt 2 out of 2 $g=square^{circ}$ $h = square^{circ}$ $k=squa…
$g = 119^{\circ}$ $h = 61^{\circ}$ $k = 121^{\circ}$ $m = 59^{\circ}$
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line segment ab measures 18 units. what is d, the distance between tick…
2 units
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which figures can be precisely defined by using only undefined terms? s…
angle, circle, line segment
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the diagram shows several planes, lines, and points. which statement is…
Line h has points on planes R, P, and T.
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which undefined geometric term is described as an infinite set of point…
B. line
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a flowchart proof contains a set of sentences explaining the steps need…
uses a visual representation of the logical flow of steps needed to reach a conclusion.
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given m || n, find the value of x and y.
\(x = 41^{\circ},y = 139^{\circ}\)