幾何
三角形、圓、解析幾何與證明題。
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corresponding vertical same - side interior alternate interior alternat…
corresponding
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linear pair vertical corresponding same - side interior alternate inter…
alternate interior
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linear pair alternate exterior same - side interior alternate interior …
linear pair
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the leaning tower of pisa in italy leans at an angle of about 84°. the …
\(55.5\) meters
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same - side interior corresponding alternate interior linear pair alter…
alternate interior
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the leaning tower of pisa in italy leans at an angle of about 84°. the …
The measure of angle \( C\) is \( 46^{\circ}\) and the distance \( b\) from the base to the top of the tower is approximately \( 55.5\) meters.
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linear pair alternate exterior corresponding vertical alternate interio…
same - side interior
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what is the measure of angle a in the triangle shown? 44 degrees comple…
\(18.6\)
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what is the measure of angle a in the triangle shown? which equation ca…
\(\frac{16}{\sin(44)}=\frac{b}{\sin(82)}\)
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what is the measure of angle a in the triangle shown? degrees
\(44\)
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quadratic word problems question the width of a rectangle is the length…
\( 9 \)
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∠uyv ≅ ∠vyw. complete the proof that overleftrightarrow{uw} ⊥ overleftr…
1. Given; 2. Linear - pair postulate; 3. Substitution property; 4. Division property of equality; 5. Definition of perpendicular lines.
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quadratic word problems question the length of a rectangle is the sum o…
\( 5 \)
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determine whether the graphs of the given equations are parallel, perpe…
B. Perpendicular
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the length of a rectangle is 6 kilometers less than twice its width. if…
\( 7\mathrm{km}\times8\mathrm{km} \) with the equation \( w(2w - 6)=56 \)
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∠s and ∠u are supplementary and ∠s and ∠t are supplementary. complete t…
1. Given 2. Given 3. Definition of supplementary angles 4. Definition of supplementary angles 5. Transitive property of equality 6. Subtraction property of equality 7. Definition …
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st ⊥ tu and vw ⊥ wx. complete the proof that ∠vwx ≅ ∠stu. 1 st ⊥ tu giv…
For statement 3, the reason is "Definition of perpendicular lines". For statement 6, the reason is "Definition of congruent angles".
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complete the proof that (angle sutcongangle qur). 1 (mangle qur + mangl…
1. Angles forming a linear pair sum to \(180^{\circ}\) 3. Substitution property of equality 5. Definition of congruent angles
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∠vzw ≅ ∠wzx. complete the proof that \\overleftrightarrow{wy} ⊥ \\overl…
Division property of equality (or simplification of the equation \(2m\angle VZW = 180^{\circ}\) by dividing both sides by 2)
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if $\\sin(a)=h/b$, then $b\\sin(a)=h$. if $\\sin(b)=h/a$, then $a\\sin(…
\(\frac{\sin(A)}{a}=\frac{\sin(B)}{b}\) (the second option)
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aboutit relationships c b h a a b c sin(a) = h/b sin(b) doni a/c a/h h/…
\(\sin(B)=\frac{h}{a}\)
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analyzing angle - side relationships don
\(\sin(A)=\frac{h}{b}\)
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the area of a triangle is given by the expression: 14x² + 20x - 15 and …
\(x+\frac{3}{2}\)
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∠h and ∠j are complementary and ∠h and ∠i are complementary. complete t…
3. Definition of complementary angles; 5. Substitution property of equality; 7. Definition of congruent angles.
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the rectangle pictured below has a perimeter of 83 inches. write an equ…
\(x = 5\)
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the hypotenuse of an isosceles triangles measures 10 inches long. what …
\(\frac{10}{\sqrt{2}}\)
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complete the proof that \\( \\angle g i h \\cong \\angle e i f \\). 1 \…
Angles forming a linear pair sum to \(180^{\circ}\)
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the area of a rectangle is given by the expression: 21x² - 19xy - 12y² …
\(3x - 4y\)
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what is the approximate degree measure of angle a in the triangle below…
\(37.9\) (the first option)
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each side of the regular hexagon below measures 8 cm. what is the area …
\(96\sqrt{3}\) square centimeters
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what is the reciprocal of tanb in the triangle below? tanc tana tan^{-1…
\(\tan C\)
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rectangles have four right angles and opposite sides that are parallel.…
a. No, the figure is not a rectangle because adjacent sides are not perpendicular (do not form right - angles as required for a rectangle). b. C. To make the figure a rectangle, c…
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13. a cone has a diameter of 8 cm and a height of 12 cm. what is its vo…
B. \(64\pi\mathrm{cm}^{3}\)
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the height of an equilateral triangle is (4sqrt{3}). what is the perime…
24 units
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rectangles have four right angles and opposite sides that are parallel.…
C. To make the figure a rectangle, change point \(C\) to \((6,-4)\) and point \(D\) to \((1,1)\)
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11. a conical silo has a volume of 500πm³ and a radius of 5 m. what is …
C. 60 m
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in the triangle below, \\frac{4}{5} represents which ratio? a b c sinc …
$\sin C$ (i.e., the first option)
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one leg of a right triangle measures 6 inches. the remaining leg measur…
\(30^{\circ}\) (Option A)
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10. which of the following formulas is used to calculate the area of th…
C. \(\pi r^{2}\)
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in the right triangle below, tana = 0.45. what is the approximate lengt…
22 units
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a shape that does not enclose a space is known as: a. open b. closed c.…
a. Open
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the side length of an equilateral triangle is 6 cm. what is the height …
C. \(3\sqrt{3}\text{ cm}\)
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a polygon with all sides and angles equal is known as: a. an open shape…
B. A regular polygon
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in the triangle below, which is equivalent to sina? a b c sinc sinb cos…
\(\cos C\)
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9. a cone and a cylinder share the same height and radius. if the cones…
A. \(300\space cm^{3}\)
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which shape is defined by having a center and a radius? a. triangle b. …
B. Circle
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which of the following is a property of a scalene triangle? a. all angl…
B. All sides are of different lengths
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8. which shape has a volume formula that includes a factor of \\frac{1}…
C. Cone
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a square is a special type of: a. triangle b. rhombus c. circle d. rect…
b. Rhombus, d. Rectangle
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find the coordinates of the other endpoint of the segment, given its mi…
$(33,17)$
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which triangle has two equal sides and two equal angles? a. scalene b. …
B. Isosceles
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the distance from the center to any point on the circles edge is called…
A. Radius
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6. if the height of a cone is doubled and the radius remains the same, …
d. Doubled
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cameron, arthur, and jamie are playing soccer. their locations are reco…
Jamie is closer to Cameron. Jamie is about \(28\) meters away from Cameron.
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what is the term for a closed shape with straight sides? a. polygon b. …
A. Polygon
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5. the radius of the base of a cone is 4 cm and the height is 9 cm. wha…
B. \(48\pi\)
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cameron, arthur, and jamie are playing so click the icon to view the so…
19
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an equilateral triangle is also: a. a regular polygon b. an irregular p…
A. A regular polygon
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4. the height of a cone is represented by the symbol: a. h b. π c. r d.…
A. \(h\)
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3. a cone - shaped cup has a height of 8 cm and a radius of 3 cm. what …
d. \(24\pi\mathrm{cm}^{3}\)
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which of the following is not a quadrilateral? a. triangle b. rhombus c…
A. Triangle
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find the perimeter and total area of the polygon shape shown below. per…
Perimeter \( = 56\) inches, Area \( = 192\) square inches (the third option)
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rectangles have four right angles and opposite sides that are parallel.…
a. The slope of \(\overline{AB}\) is \(5\) (calculated as \(\frac{-3 - 2}{-2+1}\)). The figure shown is not a rectangle because opposite sides \(BC\) and \(DA\) are not parallel (…
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2. in the volume formula \\( \\frac { 1 } { 3 } \\pi r ^ { 2 } h \\), w…
b. height
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find the perimeter and area of the polygon shown below. p = 56 feet, a …
\(P = 72\) feet, \(A = 300\) square feet (the second option).
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a shape with no straight sides and defined by a center and radius is a …
circle radius
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which of the following statements is true? all rectangles are rhombuses…
All rhombuses are parallelograms.
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a camper attaches a rope to the top of her tent to give it more support…
5.3 feet
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rectangles have four right angles and opposite sides that are parallel.…
The slope of \(\overline{AB}\) is \(\text{undefined}\) and the slope of \(\overline{CD}\) is \(5\), so \(\overline{AB}\) and \(\overline{CD}\) are not parallel. The slope of \(\ov…
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dixon and his little sister ariadne stand next to each other on the pla…
4
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how would the following triangle be classified? equilateral isosceles s…
equilateral
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12. $(12\\frac{1}{2},3\\frac{3}{4})$ and $(-4\\frac{1}{2},3\\frac{3}{4}…
\(4\frac{1}{2}\) units.
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find the coordinates of the point that partitions (overline{ab}) in the…
\((0.8,-3.4)\)
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11. (-6.1, -8.4) and (-6.1, -4.2) 14. (-5.4, 4.7) and (0.6, 4.7)
\(6\)
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name: practice & problem s leveled practice in 10 - 15, find the distar…
\(3\) units
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9. to find the height of a pole, a surveyor moves 50 feet away from the…
The height of the pole is approximately \(104.5\) feet.
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a closed, two-dimensional shape with straight sides is called a a trian…
polygon, equilateral, isosceles, scalene, quadrilateral
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5. write an equation and solve for x.
\(x = 47\)
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d the distance between each pair of point 11. (-6.1, -8.4) and (-6.1, -…
\(\vert-8.4\vert-\vert-4.2\vert=8.4 - 4.2 = 4.2\) units.
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33. from the picture on the left: drag and drop each pair of angles und…
- **Linear Pair**: \(\angle2\) & \(\angle3\) - **Adjacent Angles**: \(\angle1\) & \(\angle2\), \(\angle3\) & \(\angle5\), \(\angle4\) & \(\angle5\) - **Vertical Angles**: \(\angle…
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8. a lighthouse operator at 25 m above sea level sights a sailboat. the…
The boat is approximately \(141.8\) m from the base of the lighthouse.
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32. which pair of angles add up to 180 degrees complementary angles sup…
Supplementary angles
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select all true statements about the figure. a. c + b = d + c b. d + b …
c. Rotate clockwise by angle \(ABC\) using center \(B\). Then angle \(CBD\) is the image of angle \(EBA\)
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31. what are two non - adjacent angles formed by two intersecting lines…
Vertical angles
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solve the inequality. \\frac{2}{7}>b+\\frac{5}{7} the solution is graph…
\(b<-\frac{3}{7}\) For graphing: Since \(b<-\frac{3}{7}\), we use an open - circle at \(-\frac{3}{7}\) (because the inequality is strict, i.e., \(b\) is not equal to \(-\frac{3}{7…
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30. if two angles are supplementary and adjacent, what is the term for …
B. Linear pair
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29. what type of angle pairs equals 180 degrees when summed? adjacent a…
Supplementary angles
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1. what is the measure of angle abe? unit 1 lesson 19 cumulative practi…
\(140^{\circ}\)
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28. if angles are called complementary, what is the sum of their measur…
90 degrees
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circle city has two bagel shops-evermore bagels and bagel bills. there …
Bagel Bill's charges less per bagel. The difference is \(\$0.04\) less.
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27. select all that apply: what kind of angles are formed when two line…
Vertical and adjacent angles.
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the movement of the progress bar may be uneven because questions can be…
- \(x > - 1\) matches the graph with an open - circle at \(-1\) and arrow to the right. - \(x < - 1\) matches the graph with an open - circle at \(-1\) and arrow to the left. - \(…
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26. select all that apply from the figure on the left. $\\angle 2+\\ang…
$\angle2+\angle3 = 180^{\circ}$, $\angle2$ & $\angle3$ are adjacent $\angle$'s, $\angle2 = 40^{\circ}$
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25. from the figure to the left: \\( \\angle e \\& \\angle h \\) are? a…
2 angles
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23. which inequality is represented by a closed circle at 5 and shading…
C. \(x\geq5\)
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24. from the figure to the left: ∠g & ∠h are? complementary a linear pa…
Adjacent angles
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23. from the figure to the left: ∠g & ∠h are? complementary a linear pa…
Complementary
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22. from the figure to the left: ∠a & ∠b are? supplementary a linear pa…
Adjacent angles
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21. from the figure to the left: ∠f & ∠h are? supplementary a linear pa…
Adjacent angles
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pentagon abcde is similar to pentagon vwxyz. which sequence of transfor…
a reflection over a vertical line followed by a dilation with a scale factor of \(\frac{1}{2}\)