Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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example 3 given ( mangle5 = 82^{circ} ), find the measure of each missi…
a. \(m\angle1 = 82^{\circ}\) b. \(m\angle2 = 98^{\circ}\) c. \(m\angle3 = 98^{\circ}\) d. \(m\angle4 = 82^{\circ}\) e. \(m\angle6 = 98^{\circ}\) f. \(m\angle7 = 82^{\circ}\) g. \(…
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example 2 given ( mangle6 = 142^{circ} ), find the measure of each miss…
a. \(m\angle1 = 38^{\circ}\) (Supplementary to \(\angle2\), \(\angle1+\angle2 = 180^{\circ}\)) b. \(m\angle2 = 142^{\circ}\) (Vertical angles with \(\angle6\)) c. \(m\angle3 = 38^…
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example 1 given ( mangle1 = 65^circ ), find the measure of each missing…
a. \(m\angle2 = 115^{\circ}\) b. \(m\angle3 = 65^{\circ}\) c. \(m\angle4 = 65^{\circ}\) d. \(m\angle5 = 65^{\circ}\) e. \(m\angle6 = 115^{\circ}\) f. \(m\angle7 = 115^{\circ}\) g.…
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8. examine the figure at right, which is not drawn to scale. which is l…
\(AB\) is longer. Because \(AB\approx51.55\) ft and \(BC\approx4.04\) ft.
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these exercises require the subtraction of angles. determine the value …
\(1^{\circ}22'\) (the fourth option)
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9 multiple choice 1 point write the supplements of these angles. 129° 3…
\(51^{\circ}\) (the second option)
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10. (8y + 17)° (6x - 7)° (3x - 29)° 11. (7x - 23)° 49° (3x)° (11y - 1)°
For problem 10: \(x = 24\), \(y = 15\). For problem 11: \(x = 15.4\), \(y\approx4.29\).
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8 multiple choice 1 point write the complements of these angles. 18° 0 …
\(72^{\circ}\) (the second option)
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write explain what a conjecture is and how it is used in math. remember…
| Figure | Your Conjecture | Congruent to Figure A? | How Do You Move Figure A onto the Congruent Figure? | |---|---|---|---| | B | Congruent | Yes | Slide (translation) | | C | N…
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7 multiple choice 1 point these exercises require the addition of angle…
\(29^{\circ}7'\) (corresponds to the third option \(29^{\circ}7'\))
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bell ringer: angle theorems 1. determine the theorem you could use to s…
1. Theorem: Exterior Angle Theorem. Reasoning: \(\angle x\) is an exterior angle of a right - angled triangle with non - adjacent interior angles \(30^{\circ}\) and \(90^{\circ}\)…
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6 multiple choice 1 point apply the pythagorean theorem side a = 6.00in…
9.60m
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based on the given angle measures, which triangle has side length measu…
The second triangle has side - length measures that could be correct.
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5. quadrilateral jklm is a rhombus. given km = 10 and jn = 12, find the…
\(MN = 5\), \(JL=24\), \(KL = 13\)
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angle inequalities the side lengths of triangle abc are written in term…
\(m\angle C>m\angle A>m\angle B\)
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v geometry sem a geometry le inequalities choose the word that correctl…
longest
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consider the triangle. which shows the order of the angles from smalles…
angle \(B\), angle \(A\), angle \(C\)
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triangle inequalities which statement is true regarding triangle tuv? a…
Angle \(V\) is the smallest angle.
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triangle inequalities in the triangles, ( qr = de ) and ( sr = fe ). wh…
\(DF < QS\)
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express the following degrees and minutes as decimal degrees. round the…
78.75
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applying the hinge theorem given ( ac = ln ) and ( ba = ml ), which sta…
\(BC < MN\)
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applying theorems to real - world scenarios lucy has to run two errands…
It is at the gas station.
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find \\( \\angle 3 \\) when \\( \\angle 1 = 68 ^ { \\circ } \\) and \\(…
\(17^{\circ}\) (But since there is no \(17^{\circ}\) in the options, re - check. Wait, another approach: assume it's a typo in the problem description. If we consider the sum of i…
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applying theorems to a real-world problem three friends arrange to meet…
Jaime is at the smallest angle from the two friends., If they meet at Jaime’s entrance, then Pat will have walked a longer distance than Chris., Pat is at an angle of \(90^{\circ}…
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ordering the angle measures of a triangle the lengths of the sides of t…
\(\angle C,\angle B,\angle A\)
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how does the measure of angle abc compare to the measure of angle bad? …
The measure of angle ABC is twice as big as the measure of angle BAD.
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how does the measure of angle cad compare to the measure of angle dbc? …
The measure of angle CAD is equal to the measure of angle DBC.
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these exercises require multiplication of angles. determine the value o…
\(105^{\circ}35'\) (the first option)
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applying the hinge theorem to real - world problems lot 1 lies where tw…
The longest fence is for Lot 1. The shortest fence is for Lot 3.
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express the following decimal degrees as degrees and minutes. round the…
\(281^{\circ}55'\)
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applying the converse of the hinge theorem given ( gk = xz ) and ( gh =…
\(m\angle G < m\angle X\)
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applying the triangle parts relationship theorem which triangle correct…
The third triangle.
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relating the side lengths and angle measures of one triangle given tria…
HJ, GH, and GJ
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relating the side lengths and angle measures of one triangle given tria…
Since angle \(G\) is the largest angle, the opposite side \(JH\) is the longest. The order of the side lengths from longest to shortest is \(JH>GH>GJ\)
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these exercises require division of angles. determine the value of each…
\(24^{\circ}44'36''\)
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14. if ( aparallel bparallel c ) and ( cperp d ), which of the followin…
b. I and II only
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13. m || n. find the value of x and y. a. x = 45, y = 45 b. x = 135, y …
B. \(x = 135,y = 45\)
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12. which lines, if any, must be parallel if ( mangle3 = mangle6 ) in t…
c. $l\parallel m$, by the Converse of the Alternate Interior Angles Theorem.
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in the figure below, k || o. find the values of x and y.
\(x = 67\), \(y = 13.5\)
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which quadrant is the point g in?
Quadrant II
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which point is in quadrant ii?
Point \(J\) is in Quadrant II.
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find the length of the hypotenuse of the triangle in the coordinate pla…
The length of the hypotenuse is \(2\sqrt{17}\approx8.25\) units.
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2 multiple choice 1 point state whether the given measurements determin…
Two
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1 multiple choice 1 point two triangles can be formed using the given m…
\(A = 80.5^{\circ}, B = 27.5^{\circ}, b = 13.1; A = 99.5^{\circ}, B = 8.5^{\circ}, b = 4.2\) (the fourth option)
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21 multiple choice 1 point a rectangular television screen has a height…
13 inches
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2 multiple choice 1 point find the area of the triangle. a = 63 b = 50 …
1571.43
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find the area. round your answer to the nearest hundredth if necessary.…
\(125.65\space\text{cm}^{2}\) (the fourth option)
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2 multiple choice 1 point find the area of the triangle. a = 63 b = 50 …
1571.43
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what is the area of the triangle? round your answer to the nearest tent…
\(94.0\) square units
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3 multiple choice 1 point use the law of cosines. find ( m angle a ) to…
\(44.0^{\circ}\)
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multiple choice 1 point in △jkl, j = 7 cm, k = 6 cm, and m∠l = 35°. fin…
\(87^{\circ}\) (the fourth option)
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use the law of cosines. find b to the nearest tenth. 42.4 31.5 23.3 24.0
24.0
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let abc be a triangle such that angle a is opposite side a, angle b is …
\(53.21\)
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3 multiple choice 1 point use the law of sines to find the missing side…
13.8
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let abc be a triangle such that angle a is opposite side a, angle b is …
$53.21$
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1 multiple choice 1 point use the law of sines. find b to the nearest t…
\(99.2\)
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find the area of this sector if ( r=\frac{2}{3} ) and ( \theta=\frac{pi…
\(\frac{\pi}{27}\)
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5 multiple choice 1 point evaluate the trigonometric function of the gi…
\(-1\) (assuming the option with \(-1\) is the correct one among the given choices. If the options are labeled with symbols (e.g., A, B, C, D), and if the \(-1\) option is, say, o…
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find the area of this sector if ( r=\frac{5}{6} ) and ( \theta=\frac{2 …
\(\frac{25}{108}\)
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8. create a two - step equation whose solution is x = 6.9. solve for x:…
\(x = 4\)
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june had been waterskiing only once in her life, but that was a long ti…
June hits the big wave and falls down.
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jan wants to know why a regular pentagon will not tessellate the plane.…
B. Each interior angle of a regular pentagon is \(108^{\circ}\). If one puts three pentagons around a vertex, one gets \(324^{\circ}\). What is left over is \(36^{\circ}\) and can…
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10. a rectangles length is x and its width is 4. if the perimeter is 20…
The two - step equation is \(20 = 2(x + 4)\) and the length \(x\) is \(6\).
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isaiah says that the bricks used in a classroom wall construction form …
B. Isaiah is correct. The bricks used in a classroom wall are comparable to a rectangle tiling a plane.
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the perimeter of the triangle below is equal to 4(x + 5). it write an e…
a. The equation is \(x+(2x + 4)+(3x-4)=4(x + 5)\) and \(x = 10\). b. \(x = 10\), \(2x+4=24\), \(3x - 4=26\)
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a student asks why, in a half - turn, the direction is never specified.…
B. The result of a 180° rotation clockwise or counterclockwise is the same.
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use the diagram below for problems 1 - 3. 1. which of the following is …
1. c. \(HD\) and \(GE\) 2. d. \(EG\), \(CG\), and \(CD\) 3. a. \(EF\), \(GH\), and \(BF\)
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explain why only three types of regular polygons tessellate the plane. …
A. In order for a regular polygon to tessellate the plane, its interior angle measure must be a divisor of \(360^{\circ}\). Only three regular polygons have interior angle measure…
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4 multiple choice 1 point write the tangent ratios for $\\angle y$ and …
\(\tan Y=\frac{7}{4},\tan Z=\frac{4}{7}\)
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solve the equation for y. -3y - 14 = 4y - 7 mr. lam, ms. claus, ms. wic…
Mr. Lam: Correct. Ms. Claus: Incorrect (added \(14\) instead of \(7\) to both sides). Ms. Wickstead: Incorrect (wrong first - step operation). Mr. Rodriquez: Incorrect (division e…
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3 multiple choice 1 point find the value of the variable(s). if your an…
\(x = 17\sqrt{3},y = 34\) (First option)
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4 multiple choice 1 point in which quadrant does the terminal side of a…
second quadrant
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given two parallel lines, explain how to transform one onto the other u…
a. A translation. To perform the translation, find the vector between a point on one line and its corresponding point on the other line. For example, if \(A\) is on \(k\) and \(B\…
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9. solve for x: 7x + 2 = 30. show your work 10. a rectangles length is …
For \(7x + 2=30\), \(x = 4\). For the rectangle problem, \(x = 6\) (where \(x\) is the length).
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multiple choice 1 point find the measures of two angles, one positive a…
\(563^{\circ};-157^{\circ}\) (the second option)
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given two parallel lines, explain how to transform one onto the other u…
a. For a rotation to transform one parallel line to another: - The center of rotation is the mid - point of a segment whose endpoints are on the two given lines. The angle of rota…
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find the measures of two angles, one positive and one negative, that ar…
\(\frac{16\pi}{7};-\frac{12\pi}{7}\) (the fourth option)
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1 multiple choice 1 point find the measure of an angle between 0° and 3…
\(226^{\circ}\) (First option)
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find the preimage whose image is given in the following grid after unde…
B.
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find the image of the quadrilateral to the right in a 180° counterclock…
A.
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a student interpreted a volume of 8 cm³ on the cube shown. what is wron…
B. The given box has a volume of \(512\mathrm{cm}^3\) and not \(8\mathrm{cm}^3\). The student most likely thinks \(8\mathrm{cm}^3\) means \((8\mathrm{cm})^3\).
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a. what happens to the surface area of a sphere if the radius is double…
a. \(4\) b. \(9\)
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a cube has a volume of 125 cubic inches. what is the length of each edg…
5
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how many liters of paint must you buy to paint the walls of a rectangul…
11
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find the value of x that will make k || m. x =
\(x = 12\)
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7. if \\( \\delta j k l \\sim \\delta w m p \\), find the value of \\( …
\(3\)
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6. if \\( \\triangle abc \\sim \\triangle dec \\), find the value of \\…
\(x = 35\), \(y = 98\)
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5. if the scale factor of figure a to figure b is 7:2, find the perimet…
\(122.5\)
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4. if the scale factor of figure a to figure b is 4:5, find the value o…
\(12\)
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directions: the pairs of polygons below are similar. give the scale fac…
\(\frac{1}{2}\)
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which point is in quadrant ii? (-2, 2) (2, 5) (5, -1) (-1, -1)
\((-2, 2)\)
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find the surface area of each figure. complete parts (a) and (b). a. cu…
\(600\) cm²
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1. $\triangle fgh sim \triangle jkh$ $angle f cong angle$ answer $angle…
\(\angle F\cong \angle J\), \(\angle G\cong\angle K\), \(\angle H\cong\angle H\), \(\frac{FG}{JK}=\frac{FH}{JH}=\frac{GH}{KH}\)
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find the surface area of each figure. complete parts (a) and (b). a. cu…
a. \(600\) \(cm^{2}\) b. \(208\pi\) \(cm^{2}\)
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which quadrant is the point u in?
Quadrant III
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18 congruent by: answer δcan~δ answer (if they are not similar write xx…
\(\triangle CAN\sim\triangle VHL\) by \(SAS\sim\)
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1 multiple choice 1 point sketch the angle in standard position. 350°
The first diagram (the one with the terminal side close to the positive \(x -\)axis in the counter - clockwise direction) is the correct sketch of the \(350^{\circ}\) angle in sta…
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what are the coordinates of point c?
$(-2, -2)$
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what are the coordinates of point c?
$(-2,-2)$
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which point has coordinates (4, 0)?
T