几何
三角形、圆、解析几何与证明题。
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∠bfd is a straight angle and ∠afb≅∠efd. if m∠efd=(7x + 8)°, m∠dfc=(16x …
\(m\angle AFB=\frac{725}{18}\text{ degrees}\)
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question 3 of 10 the blue segment below is a diameter of ⊙o. what is th…
C. 3.45 units
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question 2 of 10 what is another name for a chord that passes through t…
B. Diameter
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algebra and geometry review signed fraction multiplication: basic multi…
$-\frac{21}{5}$
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4. if m∠3 = 54°, find each measure. a. m∠1= b. m∠2= c. m∠4= d. m∠5= e. …
a. $m\angle1 = 54^{\circ}$ b. $m\angle2 = 126^{\circ}$ c. $m\angle4 = 126^{\circ}$ d. $m\angle5 = 54^{\circ}$ e. $m\angle6 = 126^{\circ}$ f. $m\angle7 = 54^{\circ}$ g. $m\angle8 =…
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question 1 of 10 which of the following segments is a diameter of ⊙o? a…
B. $\overline{BD}$
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question 10 of 10 true or false? the segment $overline{ab}$ is congruen…
B. False
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question 9 of 10 true or false? if a radius of a circle intersects a ch…
B. False
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question 8 of 10 true or false? the blue radius is perpendicular to the…
A. True
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question 7 of 10 if the blue radius below is perpendicular to the chord…
D. 7 units
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test 6 - chapter 6 score: 4.33/10 answered: 5/10 question 6 the graph a…
y = tan(x)
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question 3 of 10 if the blue radius below is perpendicular to the green…
D. 18 units
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a rectangle has sides measuring (6x + 4) units and (2x + 11) units. par…
Part A: $12x^{2}+74x + 44$ Part B: Degree: 2, Classification: Quadratic polynomial Part C: The product of two polynomials $(6x + 4)$ and $(2x + 11)$ is $12x^{2}+74x + 44$, which i…
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true or false? the blue radius is perpendicular to the green chord. a. …
A. True
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question 1 of 10 if a radius of a circle is perpendicular to a chord, t…
D. bisects
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question 10 of 10 fill in the blank. two chords that are the same dista…
A. congruent
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question 7 of 10 assume that two chords in a given circle are congruent…
C. They must be equidistant from the center of the circle.
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6 find the area: a= ______ sq. meters
$\frac{55}{36}$
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question 5 of 10 what is the length of the blue segment in ⊙a below? a.…
D. 5.27 units
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question 4 of 10 fill in the blank. given ⊙o below, you can conclude th…
D. \(\overline{BC}\)
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question 3 of 10 what is the length of chord (overline{cd}) in (odot o)…
A. 8.02 units
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question 2 of 10 fill in the blank. given ⊙o below, you can conclude th…
A. $\overline{OF}$
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5. a rock is thrown into a lake causing ripples to form in concentric c…
a. $(A\circ r)(t)=0.64\pi t^{2}$, it gives the area of the out - most ripple as a function of time $t$ after the rock hits the water. b. Approximately $72.38$ square feet ### 6.
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5 find the area: 2 ft. $\frac{3}{5}$ ft. a = ______ sq ft.
$\frac{6}{5}$ sq ft.
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question 1 of 10 a chord of a circle is a line segment connecting any p…
B. False
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question 10 of 10 which of the following segments is a radius of ⊙k? a.…
B. \(\overline{KM}\)
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∠rst and ∠usw are straight angles and (overrightarrow{sv}) bisects ∠rst…
$72^{\circ}$
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question 9 of 10 a circle is the collection of points in a plane that a…
B. False
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question 8 of 10 what is the center of the circle shown below?
C. $J$
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the distance around a circle is called the _______. a. circumference b.…
A. circumference
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what is the center of the circle shown below? a a b. (overline{ab}) c. …
C. B
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3. if (mangle2 = 98^{circ}), (mangle3 = 23^{circ}) and (mangle8 = 70^{c…
a. $m\angle1 = 59^{\circ}$ b. $m\angle4 = 98^{\circ}$ c. $m\angle5 = 23^{\circ}$ d. $m\angle6 = 110^{\circ}$ e. $m\angle7 = 11^{\circ}$ f. $m\angle9 = 11^{\circ}$ g. $m\angle10 = …
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question 5 of 10 what is the measure of the radius of ⊙m? a. 3.7 units …
D. 7.4 units
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4 find the area: 1\frac{4}{7}m \frac{3}{4}m
$\frac{33}{28}\text{m}^2$
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you have a rectangular space where you plan to create an obstacle cours…
Part A: The expression for the length is $\frac{10x^{2}-6x}{2x}$, and the simplified expression is $5x - 3$. Part B: $(5x - 3)\times2x=5x\times2x-3\times2x=10x^{2}-6x$, which prov…
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question 4 of 10 what is the point in the middle of a circle called? a.…
D. Center
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question 3 of 10 which is the best estimate of the circumference of thi…
C. 12 units
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question 2 of 10 a radius is a segment that connects any point on the c…
A. True
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a rectangle has sides measuring (6x + 4) units and (2x + 11) units. par…
Part A: $12x^{2}+74x + 44$ Part B: Degree: 2, Classification: Quadratic polynomial Part C: The product of two polynomials $(6x + 4)$ and $(2x + 11)$ is the polynomial $12x^{2}+74x…
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question 1 of 10 all the radii of a circle have the same length. a. tru…
A. True
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test 5 - chapter 5 score: 13/14 answered: 13/14 question 13 given that …
$\sin(\theta)=\frac{5}{13}$ $\cos(\theta)=-\frac{12}{13}$ $\tan(\theta)=-\frac{5}{12}$ $\csc(\theta)=\frac{13}{5}$ $\sec(\theta)=-\frac{13}{12}$ $\cot(\theta)=-\frac{12}{5}$
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② circle the misspelled word and write it correctly in the space below.…
2. - Misspelled word: definitly - Correct spelling: definitely 3. Even simple tasks - like tying my shoes - were difficult to complete when I broke my arm.
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question #5 figure a is a scale image of figure b, as shown. the scale …
A. 10.5
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test 5 - chapter 5 score: 5/14 answered: 5/14 question 5 the angle betw…
86
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which of the following transformations represents an isometry (sometime…
C. The transformation in option c represents an isometry.
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10. if t is the mid - point of $overline{su}$, find x. 11. if g is the …
\(x = 3\) ### 11.
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question 4 (20 points) find the translation of the triangle along $vec{…
b)
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question 3 (20 points) the following figures were created using a dilat…
b) Point B
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question 2 (20 points) name the transformation. (pre - images is figure…
A. Translation
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question 1 (20 points) consider the image of the car on the left was tr…
A. Rotation about point A by 180°.
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9. if $overline{lk}congoverline{mk}, lk = 7x - 10, kn=x + 3, mn = 9x - …
$46$
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question 14 note: triangle may not be drawn to scale. suppose a = 8 and…
$\sin(A)=\frac{2\sqrt{5}}{5}\approx0.89$ $\cos(A)=\frac{\sqrt{5}}{5}\approx0.45$ $\tan(A)=2$ $\sec(A)=\sqrt{5}\approx2.24$ $\csc(A)=\frac{\sqrt{5}}{2}\approx1.12$ $\cot(A)=0.5$
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7. if m∠ebh=(6x + 12)° and m∠hbc=(8x - 10)°, find m∠ebh. 8. if m∠abf=(7…
$m\angle EBH=\frac{618}{7}^{\circ}$ ### 8.
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note: triangle may not be drawn to scale. suppose a = 2 and b = 10. fin…
$\sin(A)\approx0.19$ $\cos(A)\approx0.98$ $\tan(A)=0.2$ $\sec(A)\approx1.02$ $\csc(A)\approx5.10$ $\cot(A)=5$
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if (overrightarrow{fc}) bisects (angle bfd), (mangle bfc=(5x + 12)^{cir…
$57^{\circ}$
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7. if bd = 7x - 10, bc = 4x - 29, and cd = 5x - 9, find each value. x =…
For problem 8: $AB = 24$ For problem 7: $x = 14$ $BC = 27$ $CD = 61$ $BD = 88$
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what must be calculated first when applying the distance formula to poi…
None of the given options are exactly correct as the first - step is calculating the differences of $x$ and $y$ values. But if we consider the closest option based on the operatio…
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calculate the distance between the points (1,2) and (4,6). a. 5 units b…
1. A. 5 units 2. A. Triangle 3. A. Right triangle
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what is the primary role of the distance formula in computer graphics? …
1. b. Object positioning 2. b. Plot the points and form a right triangle 3. d. The straight - line distance between two points
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which theorem is the basis for deriving the distance formula? a. the tr…
1. b. The Pythagorean Theorem 2. b. Navigating between points 3. d. $x_2 - x_1$
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carmen found m∠1 this way: m∠1 = 105° because if two lines are parallel…
Yes, her answer is correct.
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△qrs is the image of △qrs under a dilation through point c. what scale …
4
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a circle drawn around a polygon such that all vertices of the polygon t…
circum - circle
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4. if df = 9x - 39, find ef.
$58$
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explaining an angle measure carmen is planning rail lines for a new tra…
$m\angle1 = 17^{\circ}$
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carmen is an engineer making plans to run a rail line, represented by t…
25°
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the measure of an angle formed by a chord at the center of the circle i…
1. central 2. cyclic polygon 3. inscribed - quadrilateral theorem 4. inscribed 5. diameter 6. chord 7. radius
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no additional details were added for this assignment. graph the image o…
Use the above - calculated vertices to graph the dilated triangle using the given tools.
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practice test 5 - chapter 5 (optional, not counted) score: 4/14 answere…
277
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the lengths of two sides of a triangle are shown. side 1: 3x² - 4x - 1 …
Part A: $2x^{2}+4$ Part B: $5x^{3}-4x^{2}+3x - 12$ Part C: Yes, because adding two polynomials in part A and subtracting polynomials in part B resulted in polynomials.
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△mnp is the image of △mnp under a dilation through point c. mp = 10 and…
C. 0.4
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what theorem states that an angle inscribed in a circle is half the mea…
1. d. Inscribed Angle Theorem 2. a. All sides are of equal length. 3. a. 60 degrees
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sample response: by the parallelogram angle theorem, opposite angles of…
Opposite angles of a parallelogram are congruent, Angle T must be congruent to angle G, Angle G must be congruent to angle L, Therefore, angle T must be congruent to angle L
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if the arc intercepted by angle x in a quadrilateral inscribed in a cir…
1. B. 50 degrees 2. C. 160 degrees 3. A. Opposite angles sum to 180 degrees.
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1. if $lm = 22$ and $mn = 15$, find $ln$. 2. if $ln = 54$ and $lm = 31$…
1. $LN = 37$ 2. $MN=23$
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assignment active comparing and contrasting angle types compare and con…
Alternate - interior angles are between parallel lines and alternate - exterior are outside. Both are congruent when lines are parallel.
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which arc is intercepted by ∠a in quadrilateral abcd inscribed in a cir…
1. d. Arc $BCD$ 2. c. $180$ degrees 3. a. $360$ degrees
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understanding corresponding angles examine the diagram. name two corres…
∠5 and ∠13
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understanding alternate interior angles examine the diagram. for which …
b and c
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ghlj and gstu are both parallelograms. why is ∠l ≅ ∠t?
In parallelograms, opposite - angles are congruent. ∠L and ∠G are opposite in GHLJ, ∠T and ∠G are opposite in GSTU. By the transitive property of congruence, ∠L ≅ ∠T.
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examine the diagram. what is the m∠1? 21° 42° 71° 82° n 63° (15x - 3)° …
$71^{\circ}$
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finding the unknown angles for the diagram shown, find the measures of …
$m\angle4 = 57$ degrees $m\angle5 = 123$ degrees $m\angle6 = 22$ degrees
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example 2 5. in the figure, $overrightarrow{lf}$ and $overrightarrow{lk…
$66^{\circ}$
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the coordinate at which a line crosses the x - axis is known as the x -…
1. intercept 2. equal 3. slope 4. slope - intercept 5. perpendicular 6. 0 7. analysis
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how many sides does a regular decagon have? a. 8 b. 10 c. 11 d. 9
B. 10
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finding corresponding angles which angles are corresponding angles? sel…
∠6 and ∠8, ∠5 and ∠7
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which of the following are true statements about any regular polygon? c…
B. All of its sides are congruent, C. All of its angles are congruent, E. It is convex, F. It is a closed figure
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all quadrilaterals are polygons. a. true b. false
A. True
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what is the value of y in the parallelogram below? a. 24 b. 36 c. 105 d…
A. 24
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parallel lines in a coordinate plane will never the ____________ of a l…
1. intersect 2. slope 3. negative 4. intercept 5. \(y = mx + b\) 6. undefined 7. parallel 8. point - slope
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if wxyz is a square, which statements must be true? check all that appl…
A. $\angle W$ is congruent to $\angle X$. B. $WXYZ$ is a rhombus. C. $\overline{WX}$ is perpendicular to $\overline{XY}$. D. $\overline{WX}$ is parallel to $\overline{YZ}$. F. $\a…
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finding alternate exterior angles. which angle is an alternate exterior…
\(\angle4\)
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what is the value of x in the rhombus below? (x + 6)° 2x° a. 28 b. 58 c…
D. 24 (There is an error in the above - derived value. Let's correct it. Since the diagonals of a rhombus are perpendicular bisectors of each other, and the sum of adjacent angles…
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which of the following sets of slopes represents perpendicular lines? a…
A. 5 and $-\frac{1}{5}$ B. 0 and $\infty$
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question 16 of 22 given the diagram below, gitta writes m∠1 + m∠2 + m∠3…
C. Triangle sum theorem
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given the parallelogram below, michael writes, \triangle abc is congrue…
D. SSS property
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if jklm is a parallelogram, what is the length of lm? a 20 b 8 c 18 d 10
B. 8
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if the sum of interior angle measures of a polygon is 720°, how many si…
A. 6
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given the diagram below, what is the length of segment ef? 3.4 7.6 a. 5…
B. 5.5
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in a right triangle, the slopes of the two legs are 0 and undefined. wh…
d. Right triangle b. $AB$ and $BC$ d. $(2,3)$ and $(5,3)$