幾何
三角形、圓、解析幾何與證明題。
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quadrilateral ijkl is dilated by a scale factor of \\(\\frac{2}{3}\\) t…
24
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which is the line shown in the figure? ○ line xy ○ line xz ● line wx ○ …
B. line XZ (assuming the options are labeled, and line XZ is the horizontal line on the x - axis as per the figure's structure)
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15) 16) 17) 18) 19) 20) 21) 22) 23) 24) critical thinking questions: 25…
15) $\frac{7}{25}$ 16) $\frac{12}{13}$ 17) $\frac{6}{10}$ or $\frac{3}{5}$ 18) $\frac{3}{5}$ 19) $\frac{48}{50}$ or $\frac{24}{25}$ 20) $\frac{60}{61}$ 21) $\frac{24}{25}$ 22) $\f…
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use a trigonometric ratio to solve for b. round to two decimal places a…
\(18.46\)
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write the coordinates of the vertices after a dilation with a scale fac…
\( Q'(-3, -6) \) \( R'(0, -6) \) \( S'(3, 3) \)
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find the tangent of $\\angle d$. $\\sqrt{35}$ $5\\sqrt{2}$ write your a…
\(\frac{\sqrt{21}}{3}\)
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which of the following is the best definition of a circle? a. a plane f…
C. The collection of all points in a plane that are the same distance from a given point
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question 5 of 10 is the following shape a right triangle? how do you kn…
A. No, the side lengths do not fit the Pythagorean theorem. D. No, there is no right angle.
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question 3 of 10 is the following shape a square? how do you know? a. t…
A. There is not enough information to determine.
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complete the sentence. in an ordered pair, the ______ number is called …
A. first
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triangle bcd is dilated by a scale factor of 2 to form triangle bcd. wh…
36
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solve for the value of r. answer attempt 1 out of 2 r =
$r=15$
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solve the right triangle. write your answers in simplified, rationalize…
$AB = 3\sqrt{2}$ $BC = 3$ $m\angle B = 45^\circ$
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question 8 of 10 the vertical cross - sectional shapes of this prism ar…
A. True
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question 4 of 10 which of the following terms correctly describe the ob…
B. Polyhedron D. Prism F. Solid
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can you show that this quadrilateral is a parallelogram? yes no
no
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use the diagram to identify the special angle pairs. ∠adc and ∠bdc are …
supplementary angles
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\( x\approx35.4^{\circ} \)
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a line passes through the points (2, -2) and (3, -9). write its equatio…
\( y=-7x + 12 \)
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a rotation by angle ∠ace using point c as the center takes triangle cba…
The rotation has center \( C \) and angle \( \angle ACE \). By rotation definition, the image of ray \( CA \) must form the rotation angle with \( CA \) from center \( C \), so it…
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select the correct answer from each drop - down menu. given: kite abdc …
For $\triangle CDA \cong \triangle BDA$: SSS (Side - Side - Side) Congruence Criterion For $\triangle CED \cong \triangle BED$: SAS (Side - Angle - Side) Congruence Criterion
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find the area of the blue shaded region. round to the nearest tenth. 8.…
\( 158.9 \) (ft²)
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use the pythagorean theorem to find ( x ). leave your answer as a simpl…
\(x = 2\sqrt{34}\) or approximately \(11.66\)
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if $eg = 2z + 13$ and $ei = 6z + 1$, find $eg$ in parallelogram $fghi$.
19
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find the length of side x to the nearest tenth.
22.0
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kevin was asked to determine the length of side xz. his work is shown. …
He has the side lengths in the wrong place in the cosine ratio.
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find ( mangle v ). write your answer as an integer or as a decimal roun…
26.6
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find v. write your answer in simplest radical form. meters
5 meters
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in the diagram of circle c, what is the measure of ∠1? 17° 35° 70° 71°
17°
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select the correct answer from each drop down menu points a, b, and c f…
To solve the problem of proving the sum of the interior angles of \(\triangle ABC\) is \(180^\circ\), we analyze the given statements and reasons: ### First Drop - Down (for \(\an…
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point g is the centroid of triangle abc. ag = (5x + 4) units and gf = (…
43 units
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triangle abc is an isosceles right triangle. what is the measure of one…
45° (Option: 45°)
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the angle bisectors of $\\triangle xyz$ are $\\overline{xg}$, $\\overli…
$m\angle FXD = 112^\circ$ $EG = 12$ $m\angle FZG = 13^\circ$
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$\\overleftrightarrow{rt}$ is a perpendicular bisector of $\\overline{u…
It will be an isosceles triangle.
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current skill $ what is the value of x?
$x = 40$
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graph the line with the equation $y = \\frac{1}{6}x + 4$.
The line passes through points $(0, 4)$ and $(6, 5)$, and extends infinitely in both directions across the coordinate grid.
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isosceles triangle abc has a perimeter of 96 centimeters. the base of t…
B. 36 cm
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find the measure of angle d in degrees. round to two decimal places as …
\( 41.41^\circ \)
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find the length of side ( x ) to the nearest tenth. (there is a right t…
4.3
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find \\(\\sin(n)\\) given the triangle. enter your answer as a fraction…
\( 0.906 \) (or \( \frac{77}{85} \))
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what is ( mangle g )?( mangle g = square^circ )
$57$
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
To graph \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Recognize it as a vertical ellipse with center \((0,0)\). 2. Vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\). 3. Plot…
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the figure below is a square. find the length of side ( x ) to the near…
5.7
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given right triangle abc with altitude \\(\\overline{bd}\\) drawn to hy…
$9$
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triangle pqr is formed by connecting the midpoints of the side of trian…
\( 59^\circ \)
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what is the value of x? x = \\square^\\circ submit
$x = 5$
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what is the difference of the lengths of \\(\\overarc{bd}\\) and \\(\\o…
\( 1.57 \)
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what is the value of x? x = (there is a diagram with two parallel horiz…
\(106\)
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complete the proof in paragraph form. complete the proof in paragraph f…
First blank (justification): substitution property of equality Second blank (equation): $90^\circ$ Final measure of $\angle2$: $50^\circ$ Paragraph proof completion: By the defini…
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what trig function would you use to find the horizontal distance needed…
tan (the option with "tan" as the trigonometric function)
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question 8 draw a graph for the inequality ( x < 0 ) a) number line wit…
a) $\overleftarrow{ ule{10em}{0.2pt}} \circ_{0} ule{10em}{0.2pt}\overrightarrow{}$
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select the correct answer from each consider figures 1 and 2 on the coo…
# Explanation: ## Step1: Identify rotation effect Take a vertex of Figure 1, e.g., $(7,5)$. A $90^\circ$ counterclockwise rotation about the origin transforms $(x,y)$ to $(-y,x)$,…
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select the correct answer from each drop - down menu. consider figures …
$90^\circ$ clockwise rotation about the origin followed by a translation of 6 units left and 7 units up (or $\langle -6, 7 angle$)
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question 7 solve the inequality and graph its solution: $-5 + 7(-8 + 4x…
a) $\overleftarrow{ ule{10em}{0.2ex}} \circ_{1} \overrightarrow{ ule{8em}{0.2ex}}$ (Option a)
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find the volume of this rectangular pyramid. be sure to include the cor…
126 $\text{in}^3$
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select the correct answer. which triangles in the diagram are congruent…
C. triangle 1 and triangle 3
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select the correct answer from each drop - down menu. a quadrilateral h…
1. Quadrilateral ABCD is a: rhombus with nonperpendicular adjacent sides 2. Quadrilateral ABC'D would be a: kite
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select the correct answer from each drop - down menu. a quadrilateral h…
rhombus with nonperpendicular adjacent sides
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select the correct answer from each drop - down menu. quadrilateral (ab…
1. For $\angle CAB \cong \angle ACD$ and $\angle BCA \cong \angle CAD$: Alternate Interior Angles Theorem 2. For $m\angle CAB=m\angle ACD$ and $m\angle BCA=m\angle CAD$: Congruent…
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4 \\(\\overline{cr}\\) and \\(\\overline{ds}\\) are perpendiculars drop…
C. $m\angle RCD = m\angle ACD \div 2$
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select the correct answer from each drop - down menu. a preimage includ…
The length of the corresponding line segment in the image is \(nx\) units. The slope of the corresponding line segment in the image is \(m\) units.
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which is the line shown in the figure? ○ line xy ○ line xz ● line wx ○ …
B. line XZ (assuming options are labeled as A: line XY, B: line XZ, C: line WX, D: line WZ)
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type the correct answer in each box. if necessary, round your answer(s)…
Perimeter: $22.81$ Area: $24$
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given that eb bisects ∠cea, which statements must be true? select three…
To determine which statements are true, we analyze the diagram and given information (BE bisects ∠CEA, and there are right angles implied by the diagram): ### Analyzing Each State…
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in the diagram, what is ( mangle vsr )? ( mangle vsr = square^circ )
\(100^\circ\)
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select the correct answer from the drop - down menu. why is the ruler p…
a distance
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drag each label to the correct location. not all labels will be used. f…
Missing angle in triangle: $57^\circ$ $\sin(28^\circ)=\cos(62^\circ)$ $\cos(33^\circ)=\sin(57^\circ)$ $\cos(31^\circ)=\sin(59^\circ)$ $\cos(90 - \theta)=\sin(\theta)$
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Question was provided via image upload.
(Problem 9): 616 ### Problem 10:
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27 if the given figure is sliced through points j, k, and l, which best…
C. trapezoid
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select the correct answer. rounded to the nearest tenth, what is the pe…
D. 11.8 centimeters
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select the correct answer. which equation represents circle n? l(-2,11)…
C. $(x + 7)^2 + (y - 6)^2 = 50$
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select the correct answer from each drop - down menu. consider the two …
The volumes of these two cylinders are equal. If another cross section is taken at the same perpendicular distance from the base, the areas of the cross sections will always be eq…
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type the correct answer in the box. use numerals instead of words. if n…
The length of the longest side is 5 inches. The other two sides will each be 4 inches in length.
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select the correct answer. in the diagram, point m is the center of the…
D. $134^\circ$
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select the correct answer. what is the value of x in the triangle? tria…
B. 3
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select the correct answer. on a football field, the left and right tack…
A. 39.3 yards
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select the correct answer. in the given figure, what is the measure of …
C. 70°
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select the correct answer. the circle is rotated around the horizontal …
D. sphere
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the length of an arc of a circle is 7.34 units, and the measure of the …
D. 5.19 units
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select the correct answer. circle o has radius of 24 units. arc xy loca…
B. $120\pi$
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which angles are vertical to each other? select all that apply.
A. $\angle BFD$ and $\angle EFA$ B. $\angle AFC$ and $\angle DFE$
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select the correct answer from each drop - down menu. given: kite abdc …
- For $\triangle CDA \cong \triangle BDA$: SSS criterion - For $\triangle CED \cong \triangle BED$: SAS criterion
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select the correct answer. rhombus efgh is shown. what is the length of…
D. 9
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select all the correct answers. △lmn has vertices l(-2, 4), m(3, 2), an…
- isosceles - right
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statement reason 1. \\(\\frac{ad}{db} = \\frac{ce}{eb}\\) given 2 \\(\\…
A. $\angle ABC \cong \angle DBE$
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type the correct answer in the box. an airplane takes off from point a …
6500
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triangles abd and ace are similar right triangles. which ratio best exp…
$\boldsymbol{\frac{BD}{DA} = \frac{CE}{EA}}$ (third option)
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select the correct answer from each drop - down menu. determine the num…
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 $900^\cir…
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select the correct answer. a triangular garden is to be split so that t…
B. 3 m
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select all the correct answers. which statements are always true for a …
- All angles are congruent. - The diagonals are congruent. - The opposite sides are parallel.
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select the correct answer. given: rstu is a rectangle with vertices r(0…
D. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it's a square
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select the correct answers from each drop - down menu. complete the ste…
$KE = \boldsymbol{\sqrt{17}}$ $IT = \boldsymbol{3\sqrt{5}}$ $TE = \boldsymbol{3\sqrt{5}}$ Therefore, KITE is a kite because: **two consecutive pairs of adjacent sides have equal l…
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select the correct answers from each drop - down menu. complete the ste…
1. $KE =$ square root of 17 2. $TE =$ 3 (square root of 5) 3. KITE is a kite because it has two distinct pairs of adjacent sides that are equal in length ($KI=KE=\sqrt{17}$ and $I…
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select the correct answers from each drop-down menu. complete the steps…
- $KE = \sqrt{17}$ (square root of 17) - $IT = 3\sqrt{5}$ (3 (square root of 5)) - $TE = 3\sqrt{5}$ (3 (square root of 5)) - Final reasoning: quadrilateral KITE has two pairs of c…
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select the correct answers from each drop - down menu. complete the ste…
- $KE = \sqrt{17}$ (square root of 17) - $IT = \sqrt{45}$ (if $\sqrt{45}$ is not an option, recheck: Wait, recalculate $IT$ correctly: $I(1,2)$, $T(7,5)$: $(7-1)=6$, $(5-2)=3$, $\…
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prove: \\begin{align*} ab &\\cong cd \\\\ bc &\\cong ad \\end{align*} \…
B. Statement: $\overline{AB} \parallel \overline{CD}$, $\overline{BC} \parallel \overline{AD}$ Reason: definition of a parallelogram
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a quadrilateral has vertices a(4, 5), b(2, 4), c(4, 3), and d(6, 4). wh…
E. ABCD is a rhombus with non-perpendicular adjacent sides.
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consider parallelogram abcd. which equation is made true by the opposit…
C. $3y - 15 = 85 + y$
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drag the tiles to the correct boxes to complete the pairs. match the st…
$55^\circ$ → $m\angle ABC$ when $m\angle BAC = 70^\circ$ and $\triangle ABC$ is an isosceles triangle with $\overline{AB} = \overline{AC}$ $180^\circ$ → $m\angle ABC + m\angle BAC…
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in triangle abc, points d and e are the midpoints of \\(\\overline{ab}\…
C. slope = 0.5, length = 1.6 units