Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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do this problem to find out. b. the figure at the right is reflected ov…
The coordinates of \(A'\) are \((-4,-2)\) and the coordinates of \(B'\) are \((4,-2)\).
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did you hear the story about the piece of butter? complete each exercis…
A. \(53\), B. \(107\), C. \(41\), D. \(85.5\), E. \(122\), F. \(123\), G. \(45\), H. \(30.5\), I. \(80\)
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gemma wants to draw a triangle with side lengths of 4 inches, 12 inches…
This triangle does not exist because the sum of 4 and 12 is less than 17
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directions: match the triangles to the congruent properties. note: some…
5. B. Yes, SAS 6. C. Yes, HL 7. E. Not Congruent 8. D. Yes, ASA 9. C. Yes, HL
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3 select the correct answer. a company designs a new water pitcher. the…
C. about \(66\mathrm{in}^2\)
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select the correct answer. a regular octagon has side lengths of 8 cent…
B. \(309\ cm^{2}\)
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in general, the following slopes, expressed as percents, are typical fo…
The slope of the trail is \(11.8\%\) and the ski trail's rating is Green Circle.
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determining angle measure relationships in triangle rst, ( mangle r>man…
\(m\angle R>m\angle T\), \(m\angle R>m\angle S\), \(m\angle R > 90^{\circ}\)
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select the correct answer. a water wheel is designed in the shape of a …
A. \(8\sqrt{10}\text{ ft}\)
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creating triangles from given side lengths charla has six segments with…
\(2\) in, \(3\) in, \(4\) in and \(5\) in, \(6\) in, \(7\) in
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select the correct answer. tobias wants to add a wooden trim to a trian…
B. 14.2 ft
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mr. anderson is building a triangular - shaped roof for his shed. the t…
\(7\)
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determining triangle existence using angle measure under which angle co…
2 acute angles, 1 obtuse angle; 3 acute angles; 2 acute angles, 1 right angle.
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type the correct answer in each box. use numerals instead of words. ava…
The distance from Maria to Ava is \(15.7\) feet. The distance from Lucas to Maria is \(10.1\) feet. The angle formed at Maria's position measures \(50\) degrees.
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select the correct answer. triangle xyz has an altitude of h. jayden pr…
B. The sine ratio \(\sin(X)=\frac{h}{x}\) is incorrect. It should be \(\sin(Z)=\frac{h}{x}\).
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first, find ( mangle jqk ). ( mangle jqk=70 ) now, find ( mangle mqn ).…
\(80\)
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select the correct answer. rounded to the nearest tenth, what is the ar…
C. 35.1 square feet
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first, find ( mangle jqk ). ( mangle jqk=square )
$150$
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1. here is a circle with center h and some line segments and curves joi…
\(4\)
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select the correct image. for which triangle does the equation ( 4 ^ { …
The second triangle (the right - triangle with legs of length \(4\) and \(4\)) is the correct image.
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vertical angles are the opposite angles formed when two lines intersect…
\(\angle PQJ\)
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drag each length to the correct location on the triangle. each length c…
\(BC = 5\sqrt{2}\), \(AC = 10\)
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vertical angles are the opposite angles formed when two lines intersect…
\(\angle PQJ\)
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select the correct answer. consider triangle efg. what is the approxima…
A. \(55.8^{\circ}\)
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find ( mangle bec ). ( mangle bec=square^{circ} )
\(42\)
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in the given figure, (\triangle abc) is a right triangle. what is true …
D. \(\sin(A)=\cos(C)\) and \(\cos(A)=\sin(C)\)
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select the correct answer. what is the value of x in the triangle? a. $…
D. \(5\sqrt{3}\)
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find ( mangle krl ). ( mangle krl=square^{circ} )
\(34\)
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find ( mangle tqw ). ( mangle tqw=square^{circ} )
\(46\)
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find ( mangle tqw ). ( mangle tqw=square^{circ} )
$67$
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6. katie has been given the task of determining the height of a buildin…
\(101\) m
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select the correct answer. one leg of a right triangle is 10 units, and…
A. about 7 units
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find ( mangle bfc ). ( mangle bfc=) an error has occurred. please enter…
\(62\)
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find $mangle bfc$. $mangle bfc = square$
$118$
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select the correct answer. nancy is planting cucumbers in a small garde…
C. 49
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt vertical angles h…
\(\angle RWS\)
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
\(BC\to7\sqrt{2}\), \(BD\to7\)
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select the correct answer from each drop - down menu. a student began a…
The student has correctly started the proof. The next step in the proof is to express \(h\) in terms of angle \(X\) and side \(z\). Then the student should set the expressions for…
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2. lin measured the diameter of a circle in two different directions. m…
The measurements differ likely due to measurement error (including instrument limitations and human - induced parallax error). If the object is not a perfect circle (though assume…
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what do you notice about the angles on opposite sides of point h? they …
They have the same measure.
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line jl and line km intersect at point h. find the three unknown angle …
$51$
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line jl and line km intersect at point h. find the three unknown angle …
\(129\)
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14 select the correct answer from each drop - down menu. a student bega…
The student has correctly started the proof. The next step in the proof is to express \(h\) in terms of angle \(X\) and side \(z\).
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for each pair of angle measures, decide if the angles are complementary…
- \(12^{\circ}\) and \(78^{\circ}\): Complementary - \(25^{\circ}\) and \(155^{\circ}\): Supplementary - \(50^{\circ}\) and \(50^{\circ}\): Neither
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lessons 2 & 3 practice problems 1. here is a circle with center h and s…
a. An example of a diameter is \(EA\) (since it passes through the center \(H\) and has endpoints on the circle). b. An example of a radius is \(HA\) (since it has one endpoint at…
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for each pair of angle measures, decide if the angles are complementary…
- \(12^{\circ}\) and \(78^{\circ}\) go to Complementary. - \(25^{\circ}\) and \(155^{\circ}\) go to Supplementary.
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for each pair of angle measures, decide if the angles are complementary…
Supplementary
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the figure shows three intersecting lines. lines g and h are perpendicu…
\(90\)
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which theorem could be used to prove \\( \\triangle abd \\cong \\triang…
C. AAS
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14 select the correct answer from each drop - down menu. a student bega…
The student has correctly started the proof. The next step in the proof is to write an equation for \(\sin(X)\). Then the student should set the two expressions for \(h\) equal to…
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which statements about the figure to the right are true? which of the f…
A. \( \overline{MJ}\cong\overline{NL}\), C. \( \triangle KMJ\cong\triangle KNL\), D. \( \angle KJN\cong\angle KLM\)
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13 type the correct answer in the box. in the figure, a square is insid…
The length of the diagonal of the outside square is \(9.9\) units and the length of the diagonal of the inside square is \(7.1\) units.
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select the correct answer. a boat is anchored in the water. the anchor …
A. \(27.8\) ft
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the figure shows two intersecting lines. write an equation to show how …
\(m\angle1 + m\angle2 = 180^{\circ}\)
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a student is checking whether the design she draw is symmetric. can she…
D. Yes By SAS, \(\triangle RST\cong\triangle QUT\), and therefore \(ST\cong UT\). So \(RP\cong QM\), and by ASA, \(\triangle RNP\cong\triangle QNM\), which means that \(MN\cong PN…
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choose the correct answer below. a. he cannot assume they are the same …
B. He cannot assume they are the same length. Only one set of congruent angles and two sets of congruent sides are given for \( \triangle ABC \) and \( \triangle BCD \) in the fig…
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 11\), \(y=\frac{103}{3}\approx34.33\)
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for what value of x is cos(x) = sin(14°), where 0° < x < 90°? a. 14° b.…
C. \(76^{\circ}\)
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select the correct answers. line segment bd divides trapezoid abce into…
D. 96 units
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select the correct answer. what is the height, x, of the equilateral tr…
A. $7\sqrt{3}$ inches
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which angle is adjacent to \\( \\angle tvs? \\) \\( \\angle nvt \\) wha…
$m\angle NVS=160$
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|| m || n, find the value of x. 124° (5x - 4)°
\(x = 12\)
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select the correct answer. what is the value of x? a. 15 b. 21.2 c. 7.5…
D. 10.6
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which angle is adjacent to \\( \\angle tvs \\)? \\( \\angle nve \\) \\(…
\(\angle NVT\)
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in the diagram, the shaded and unshaded triangles are congruent. identi…
\(\overline{AC}\) (assuming a mis - print in the options, as among the logical congruent triangle ( \(\triangle ABC\) and \(\triangle ADC\) in a parallelogram/rectangle/rhombus) t…
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after another wind change, the weathervane has turned an additional 20°…
\(90^{\circ}+20^{\circ}=110^{\circ}\)
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select the correct answer from each drop - down menu. a conical circus …
The first blank: cosine; the second blank: \(0.77\); the third blank: inverse cosine function.
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4. find ( y = 4x - 40 ) and ( y = -6x + 60 ) intersect. then sketch a g…
The point of intersection is \((10,0)\). For problem 5: ## a.
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on a map, the north carolina cities of raleigh, durham, and chapel hill…
B. \( r = 59^{\circ}, c = 29^{\circ}, x = 10\ \text{mi} \)
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what is the approximate perimeter of the triangle below? 246 in 267 in …
275 in
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after another wind change, the weathervane has turned an additional 20°…
- The \(20^{\circ}\) angle can be named \(\angle EVT\). - \(\angle EVT\) and \(\angle NVE\) are adjacent angles. - Both angles have a vertex at point \(V\). - Both angles share th…
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what is the perimeter of this block? 28.2 + 28.2 + 4x + 6.4 + 4x + 6.4 …
Perimeter: \(8x + 69.2\) yd; Area: \(112.8x+180.48\) yd²
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after another wind change, the weathervane has turned an additional 20°…
\(\angle EVT\)
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in triangle abc, \\( \\angle a = 25 ^ { \\circ } \\), \\( \\angle c = 5…
BC≈72, AC≈31
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a weathervane is pointing north. after the wind changes direction, the …
\(90\)
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question determine a series of transformations that would map figure r …
Reflect Figure \(R\) over the \(x\) - axis and then translate it to the right (the number of units of translation can be determined by comparing specific vertex positions on the c…
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the length of a rectangle is 3 times its width. write and evaluate an e…
\(3.9\)
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dyani wrote a proof to show that \\( \\angle xwy \\cong \\angle yzx \\)…
D. \(\angle XWY\) and \(\angle YZX\) are not in \(\triangle XWZ\) and \(\triangle YZW\), so CPCTC cannot be used for them
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what is the approximate area of the triangle below? 14 cm 95° 35° 73.1 …
141.4 sq.cm
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use the diagram below to answer questions 34 - 35. 34. find the distanc…
34. The distance from the bank to the grocery store is \(\sqrt{39}\approx6.24\) miles. 35. The distance from the coffee shop to the grocery store, then back to the bank is \(8+\sq…
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question determine a series of transformations that would map figure r …
First, reflect Figure \(R\) over the \(x\) - axis. Then, translate the reflected figure 8 units to the right.
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4. coordinate q is at (3, -4). it is reflected over the y - axis, then …
\((-3,-1)\)
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in order to make a precise cut from point q to point s using a saw, alf…
\(10^{2}=9^{2}+11^{2}-2(9)(11)\cos S\)
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33. a 15 - foot street lamp casts a 9 - foot shadow. if the street lamp…
\(42.6\) feet
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a 15 - foot flagpole leans slightly, such that it makes an 80° angle wi…
by determining the length of \(TV\) using \(TV^{2}=15^{2}+10^{2}-2(15)(10)\cos80^{\circ}\), and then determining the value of \(x\) using \(15^{2}=TV^{2}+10^{2}-2(TV)(10)\cos x\)
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a plane took off at a 15° angle to the ground and flew in sydneys direc…
8 mi
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triangle xyz has vertices x(-1,-1), y(-2,1), and z(1,2). what is the ap…
\(37.2^{\circ}\)
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given ( lparallel mparallel n ), find the value of ( x ).
\(x = 6\)
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what are the possible remaining angle measures in triangle abc with ( m…
No triangle can be formed with these measures.
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what are the possible remaining angle measures in triangle abc with ( m…
# Explanation: ## Step1: Use the Law of Sines The Law of Sines states that \(\frac{\sin A}{BC}=\frac{\sin B}{AC}\). Given \(A = 40^{\circ}\), \(AC = 50\), and \(BC=45\). Substitut…
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if the figures below are similar, find the value of x. 28. 29. use the …
\(x = \frac{70}{3}\) ### 29.
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what is the perimeter of this block? = what is the area of this block? =
Perimeter: \(4x - 4\) yd; Area: \(6x - 15\) yd²
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topic 4: similar figures & indirect measure use the similar figures bel…
26. \(\frac{1}{2}\) 27. \(2\)
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25. mr. willis is building a new dock at his lakehouse that will be 35 …
The scale is \(1\) inch : \(26.25\) inches.
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fountain what is the perimeter of this block? = what is the area of thi…
For the perimeter: \(2\times10+2\times(x + 4)=2x + 28\) For the area: \(10\times(x + 4)=10x + 40\)
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if if \\( \\tan \\theta = \\frac { 3 } { \\sqrt { 135 } } \\), what is …
$12$
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find the center and radius of the circle represented by the equation be…
Center: \((-9,-4)\) Radius: \(9\)
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if $cot \theta=\frac{5}{10}$, what is $sin \theta$? $sin \theta=\frac{2…
\(5\)
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question find the center and radius of the circle represented by the eq…
Center: \((-3,-9)\) Radius: \(9\)
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multiply 3x(2x - 1) by following these steps: step 1: drag tiles to the…
\(6x^{2}-3x\)