幾何
三角形、円、座標幾何、証明問題。
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in the following figure, ab || ed and bc = ce. explain why dc = ac. cho…
B. $\triangle ABC$ is congruent to $\triangle DEC$ by AAS. Using CPCTC, $AB = DE$. Since the line segments are congruent, $AB = DE$.
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4. v = __________
$168$ $cm^{3}$
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do now- finding slope from a graph kendal smith find the slope of the l…
2
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using any tools, determine if it is possible to construct a unique figu…
a. It is not possible. Without an included angle between the two given adjacent sides, there are infinitely many parallelograms. b. It is possible. Construct two perpendicular seg…
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3. 20 in. 4 in. sa = 880
$880$ in²
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using any tools, determine if it is possible to construct a unique figu…
a. It is not possible. Without the opposite side also being given, there are infinitely many parallelograms that could be constructed from the two given sides b. B. It is possible…
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two cylinders are given. the larger cylinder is a dilation of the small…
Part A: The scale factor is $\frac{7}{2}$. Part B: The volume of the larger cylinder is $1029\pi m^{3}$.
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question 5 (multiple choice worth 2 points) (scale factor and dilation …
C. $k = 4$
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using any tools, determine if it is possible to construct a unique figu…
a. A. It is not possible. Without the angle between the sides, there are infinitely many parallelograms that could be constructed from the two given sides b. It is possible. The d…
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a triangular pyramid with a volume of 32 in³ is dilated with a scale fa…
171.5 in³
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given: ad = cf bc = de prove: ab = ef statement\treason 1. ad = cf\tgiv…
C. Subtraction Property of Equality
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a triangle has a base of 25 feet and a height of 12 feet. if a dilation…
$1,350\ ft^{2}$
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explain why any rectangle can be dissected into two congruent trapezoid…
B. Start at opposite vertices. Use the same distance, a, from the vertices to make points on the opposite sides of the rectangle. Connect these points. Different trapezoids are fo…
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select the correct answer from each drop - down menu. in the figure, $o…
First blank: Transitive property of equality Second blank: Definition of a linear pair Third blank: Substitution property of equality
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a square prism has base side lengths measuring 4 yards and a height of …
1,536 $yd^{3}$
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given: p || q, and r || s. prove: ∠1 and ∠14 are supplementary angles. …
A. Statement: ∠6≅∠14 Reason: For parallel lines cut by a transversal, corresponding angles are congruent
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what type of angle is this? a b c obtuse straight right acute
B. straight
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m∠abc = 135° what type of angle is it? obtuse straight right acute
A. obtuse
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19. in the diagram shown, points a, b, and c all lie on a straight line…
(a) m∠EBD = 93°, m∠ABE = 52° (b) No, because m∠EBD = 93°≠90°.
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16. if ∠def is a right - angle and m∠dey=\frac{1}{2}x + 34, then what i…
(a) ∠EBD = 93°, ∠ABE = 52° (b) No, because the measure of ∠EBD is 93° which is not 90°.
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m∠abc = 90° what type of angle is it? obtuse straight right acute
C. right
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an oblique triangular prism is given. what is the volume of the prism? …
$36$ in³
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a rectangular prism with a height of 10 mm has a volume of 250 mm³. wha…
$2.82$ mm
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b. given the hint, what steps are taken next to complete this construct…
A. Find \(P'\) so that \(M\) is the midpoint of \(\overline{P'Q}\). Then \(\overrightarrow{PP'}\) is the required line.
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2. 6 mm 5 mm 13 mm sa = 173
$346$ mm²
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the base of a square pyramid has side lengths of 8 meters. the height o…
$256$ m$^{3}$
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a cylinder has a diameter of 18 feet and a height of 5 feet. what is th…
$405\pi$ ft³
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a side of the triangle below has been extended to form an exterior angl…
\(22\)
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a tent is shaped like a hexagonal pyramid. the area of the hexagonal ba…
13.0 feet
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the base of a rectangular prism measures 7 cm by 9 cm. the height of th…
C. $693$ cm³
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the measures of the angles of a triangle are shown in the figure below.…
$x = 8$
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select the correct answer. if △acb and △egf are congruent by the asa cr…
B. \(\angle CAB\) and \(\angle GEF\)
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question 1 (multiple choice worth 2 points) (volume mc) the propane sto…
$946.93\ ft^{3}$
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d. can a parallelogram be constructed with exactly three right angles? …
D. No, it is not possible. The fourth angle must also be a right angle
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 25\)
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in addition to the facts in the diagram, which statement is necessary t…
C. $BC = EF$
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c. can a triangle be constructed with two obtuse angles? a. yes, it is …
B. No, it is not possible. A triangle can only have at most one obtuse angle.
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the measures of the angles of a triangle are shown in the figure below.…
$x = 41$
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a. can a square be constructed if given one side? a. no, it is not poss…
C. Yes, it is possible
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a food manufacturing company is creating a new label for a canned food …
$64\pi$ $cm^{2}$
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which of the following equations could be used to find the value of x? …
$\frac{x}{\sin(46)}=\frac{32}{\sin(30)}$ (the fourth option)
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a prism with a height of 14 millimeters has two regular hexagons for ba…
$922.3$ mm²
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the measures of the angles of a triangle are shown in the figure below.…
66
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which polynomial represents the area of the rectangle? 4x - 6 x + 1 4x^…
$4x^{2}-2x - 6$
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a trapezoid has bases measuring 6.5 meters and 7.9 meters, with a heigh…
C. $37.44\ m^{2}$
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select the correct answer from each drop - down menu. if, then △abc and…
1. If \(\angle A=\angle E\), \(AC = ED\) and \(\angle C=\angle D\), then \(\triangle ABC\) and \(\triangle EFD\) are congruent by the ASA criterion. 2. If \(AB = EF\), \(\angle B=…
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a pyramid has a square base with side lengths of 10 centimeters. the sl…
$340$ $cm^{2}$
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given (lparallel mparallel n), find the value of (x). (7x - 2)° (5x + 1…
\(8\)
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a cone has a slant height of 10 inches and a diameter of 12 inches. wha…
C. $96\pi$ in²
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given a, b, and c as vertices, construct a parallelogram abcd. which of…
C. Draw an arc of radius AB with the pointer at C. Draw an arc of radius BC with the pointer at A. Let the intersection of the two arcs be point D. Draw line segments AD and CD us…
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which of the following equations could be used to find the area of the …
Area $=\frac{1}{2}(45)(53)\sin(51)$
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given m || n, find the value of x and y. (6x + 4)° (9x - 14)° y° answer…
\(x = 6\), \(y = 140\)
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a rectangular soccer field has an area of 7,597 m² and a length of 107 …
A. 71 m
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draw a line n and point p not on n. use a compass and a straightedge to…
(Without seeing the actual options A, B, C, D, we cannot give a specific letter - based answer. But the correct answer would be the figure that shows a proper rhombus construction…
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given m||n, find the value of x. (9x - 8)° (4x + 22)° answer attempt 1 …
\(x = 6\)
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draw a line n and point p not on n. use a compass and a straightedge to…
(Without seeing the actual content of options A, B, C, D clearly, we can't give a specific answer. But the general idea is to choose the figure where the angle at \(P\) is constru…
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which of the following equations could be used to find the value of x? …
\(x^{2}=40^{2}+22^{2}-2(40)(22)\cos(80^{\circ})\)
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2 drag the tiles to the boxes to form correct pairs. match each set of …
$AB = XY$, $BC = YZ$, and angle $B$ is congruent to angle $Y$ $\longleftrightarrow$ $\triangle ABC$ and $\triangle XYZ$ are congruent by the SAS criterion. $AB = XY$, and angles $…
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given m||n, find the value of x. answer attempt 2 out of 3 x =
\(x = 3\)
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select the correct answer. you have this information about △abc, △fde, …
A. $\triangle ABC$, $\triangle FDE$, and $\triangle GIH$
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given m||n, find the value of x. answer attempt 1 out of 3 x =
\(x = 3\)
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which of the following equations could be used to find the area of the …
Area \(=\frac{1}{2}(37)(22)\sin(111)\)
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find the surface area or volume of e of paper. 1. 5 ft. 16 ft. 8 ft. sa…
496 square feet
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given m || n, find the value of x. 69° x° answer attempt 1 out of 3 x =
\(x = 69\)
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given l || m || n, find the value of x. answer attempt 1 out of 3
\(141\)
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given (lparallel mparallel n), find the value of (x). 117° (x^{circ})
117
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given m || n, find the value of x and y.
$x = 125$, $y = 125$
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given m || n, find the value of x and y. answer attempt 1 out of 3 x = …
\(x = 125\), \(y = 125\)
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given m||n, find the value of x. answer attempt 1 out of 3 x =
\(x = 116\)
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given m||n, find the value of x.
$x = 59$
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given m||n, find the value of x. answer attempt 1 out of 3 x =
\(x = 58\)
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look at this graph: what is the y - intercept?
1
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look at this graph: what are the coordinates of the vertex? ( , )
(0, 4)
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use the figure on the right to answer #8. 8. find m∠1, m∠2, and m∠3. ex…
$m\angle1 = 42^{\circ}$ $m\angle1$ reasoning: Vertical - angles are congruent. The angle vertical to the $42^{\circ}$ angle is $\angle1$. $m\angle2 = 42^{\circ}$ $m\angle2$ reason…
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is the cookie split fairly? adam and his sister bethany have to split t…
1. Method 1 would give Adam the same size piece as Bethany. 2. a. Yes, using a ruler. We can measure the lengths of the boundaries of the pieces. Since the cookie is divided symme…
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4. bd bisects ∠abc. solve for m∠abc. (4x)° (3x + 11)°
$88^{\circ}$
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select the correct answer. which number best represents the slope of th…
$\frac{1}{2}$
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17. if (mangle tmi = 5x + 2) and (x = 20), then classify (angle tmi) as…
\(\angle TMI\) is an obtuse angle.
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section 3.2 i can use properties of parallel lines. use the figure on t…
## 6. $m\angle3 = 98^{\circ}$, $m\angle1=82^{\circ}$ ## 7. $x = 20$
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part 5 - identify and translate the possessive adjective instructions: …
1) Nuestra = Our 2) Su = His/Her/Their 3) Tus = Your (plural) 4) Mis = My 5) Sus = His/Her/Their 6) Nuestro = Our 7) Tu = Your (singular) 8) Nuestras = Our 9) Mi = My 10) Sus = Hi…
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section 3.1 i can identify parallel and perpendicular lines and pairs o…
1. $\overleftrightarrow{ZW}$ and $\overleftrightarrow{TU}$ 2. $\overleftrightarrow{XU}$ and $\overleftrightarrow{ZW}$ (or $\overleftrightarrow{XU}$ and $\overleftrightarrow{TU}$) …
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bd and eg are parallel lines. which angles are alternate interior angle…
$\angle GFC$ and $\angle BCA$
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free response questions 16. if ∠day is a right - angle and (mangle day=…
$x = 112$
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find m∠knm. drag the expressions into the boxes to correctly complete t…
$32^{\circ}$
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3. m∠abc=(2x + 50)° solve for x
\(x = 50\)
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m∠knm = \\frac{1}{2} = \\frac{1}{2} = \\frac{1}{2}(160 - 96) = \\frac{1…
\(m\angle KNM=\frac{1}{2}(m\overparen{KM}-m\overparen{LK})\), \(32^{\circ}\)
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drag the expressions into the boxes to correctly complete the solution.…
First blank: Measure of arc \(KML-\text{measure of arc }KL\) Second blank: \(160 - 96\) Third blank: \(64\) Fourth blank: \(32\)
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2. $overline{bd}$ bisects $angle abc$. solve for $x$. 35° $(5x + 5)°$
$x = 6$
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directions: find the midpoint between the two given points. 5. (-4,4) a…
5. $(\frac{1}{2},\frac{3}{2})$ 6. $(-\frac{7}{2},-\frac{1}{2})$ 7. $(\frac{3}{2},\frac{1}{2})$ 8. $(-3,3)$
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rv and qt are diameters of circle p. part a determine whether the arc ⌢…
$\widehat{QR}$ is a minor arc.
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the minute hand of a circular clock sweeps out an arc as it moves from …
$120$
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part c what is the measure of the inscribed angle if the central angle …
A. $45^{\circ}$
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part b what is the measure of the central angle if the corresponding in…
C. $90^{\circ}$
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which of the following is circle o with a central angle and a correspon…
The first option (the circle with $\angle BOC$ as the central angle and $\angle BAC$ as the inscribed angle)
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drag the correct expressions into the boxes to correctly complete the s…
$m\angle BCD=\frac{1}{2}(m\overset{\frown}{BAD}-m\overset{\frown}{BD})=\frac{1}{2}(260^{\circ}-100^{\circ})=\frac{1}{2}(160^{\circ}) = 80^{\circ}$ So the blanks should be filled i…
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drag the correct answers into the boxes. show hints m∠atb = 1/2 = 1/2 =…
$m\angle ATB=\frac{1}{2}(m\overset{\frown}{AB}+m\overset{\frown}{DC})=\frac{1}{2}(36^{\circ}+68^{\circ})=\frac{1}{2}(104^{\circ}) = 52^{\circ}$ So the blanks should be filled as f…
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1. m∠abc = 150° solve for x
\(x = 22\)
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partner a 1. m∠abc = 180° solve
\(x = \frac{140}{3}\)
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problem 4 precisely describe a dilation that takes the smaller figure t…
The dilation has a center at point \(C\) and a scale factor of 3.
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6) find the distance between the points (1,-5) and (-3,-3). round to ne…
$4.472$