幾何
三角形、圓、解析幾何與證明題。
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find the value of x in the triangle shown below. x =
\(62\)
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find the area of the figure below, composed of a rectangle and a semici…
\(62.3\)
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find the area of the figure below, composed of a rectangle with a semic…
\(51.9\)
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question 10 of 10 what is the length of (overline{ef}) in the right tri…
E. 36
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question 9 of 10 △fgh is a right triangle. a. true b. false
A. True
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find the perimeter of the figure below, composed of a rectangle and a s…
\(20.3\)
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question 8 of 10 △lmn is a right triangle. a. true b. false
A. True
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question 7 of 10 what is the length of \\( \\overline { e f } \\) in th…
A. \(\sqrt{217}\)
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question 6 of 10 what is the length of \\( \\overline { b c } \\) in th…
A. 82
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what is the value of $x$ in the figure shown below? $x =$
\(x = 20\)
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question 5 of 10 the diagram shows squares 1, 2, and 3 constructed on t…
D. (Area of 1) + (Area of 2) = (Area of 3)
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4. here are four circles, their radius or diameter lengths, and their a…
\(A=\pi r^{2}\)
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question 4 of 10 △def is a right triangle. a. true b. false
B. False
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question 3 of 10 which of the following states the pythagorean theorem?…
A. In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs.
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question 2 of 10 △wxy is a right triangle. a. true b. false
A. True
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3. jaleel says you can find the approximate area of a circle by calcula…
No. The formula for the area of a circle is \(A=\pi r^{2}\) with \(\pi\approx3.14\), and using \(3\) is a less accurate approximation than using values closer to \(3.14\).
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question 1 of 10 what is the length of (overline{bc}) in the right tria…
C. 15
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question 25 of 25 which congruence postulate or theorem is stated below…
A. AAS
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question 24 of 25 if \\( \\triangle stu \\) is similar to \\( \\triangl…
B. False
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question 23 of 25 what else would need to be congruent to show that \\(…
A. \( \overline{EF}\cong\overline{JK}\)
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question 22 of 25 in a scalene triangle, the shortest side is opposite …
A. True
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question 21 of 25 which term describes the point where the perpendicula…
D. Circumcenter
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the diameter of a circle is 29 ft. find the circumference to the neares…
\(91.1\) ft
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find the value of $x$ in the triangle shown below. $x = square^{circ}$
\(59.5\)
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2. diya says that you can find the approximate area of a circle by calc…
In the expression \(3\cdot r^{2}\), \(r^{2}\) can be thought of as the area of a square with side - length \(r\) (a basic geometric shape related to the circle's radius), and \(3\…
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which of the following additional statements would allow us to prove th…
D. We need both statements.
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question determine the y - intercept of the parabola whose graph is giv…
\((0,-3)\)
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c area: d area: 9 ft 16 cm
c. \(254.34\) square feet; d. \(200.96\) square centimeters.
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write the standard form of the equation of the circle with the given ce…
\((x - 2)^2+(y + 4)^2=49\)
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6. calculate the exact area of each circle. a area: _ b area: _
a. \(25\pi\) b. \(56.25\pi\)
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find the value of $x$ in the triangle shown below. $x=\\square^{circ}$ …
\(50\)
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4 ( m angle 1 + m angle 2 + m angle 3 = 180 ^ { circ } ) substitution (…
B. Angles \(\angle4\) and \(\angle2\) are not alternate interior angles, and neither are \(\angle1\) and \(\angle5\).
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question determine the vertex of the parabola whose graph is given belo…
\((-4.5,-1.5)\)
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in the figures below, \\( \\triangle qsr \\sim \\triangle xyz \\). what…
G 25
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5. rewrite the formula for the exact area of a circle you developed in …
\(A = \pi r^{2}\)
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a 15 - foot tall tree is next to a slide. the tree is casting a shadow …
F. \(7\) ft
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a 15 - foot tall tree is next to a slide. the tree is casting a shadow …
F. \(7\) ft
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1 a 15 - foot tall tree is next to a slide. the tree is casting a shado…
G. 25
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cassie has a small cube - shaped box. its volume is 64 cubic centimeter…
\(16\)
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what is the value of x? art not to scale. x = 23 x = 35 x = 58 x = 93
\(x = 93\) (the fourth option)
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find the value of x in the triangle shown below. x =
\(40\)
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what is the value of h? $h = 20$ $h = 35$ $h = 55$ $h = 70$ $(2h)^{circ…
\(h = 35\)
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which statement regarding the diagram is true? ( m angle w x y=m angle …
\(m\angle WXY + m\angle YXZ = 180^{\circ}\) (the third option)
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which angle has a measure equal to the sum of $m\\angle sqr$ and $m\\an…
\(\angle SRE\)
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find the value of x in the triangle shown below. x =
\(62.5\)
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which statement regarding the diagram is true? m∠mkl + m∠mlk = m∠jkm m∠…
\(m\angle KML + m\angle MLK=m\angle JKM\)
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find the value of x in the triangle shown below. x =
\(61\)
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10. vic solved the equation ( 0.2k + 2 = 1.4k - 1 ) as shown but made a…
a. Vic did not use the distributive property correctly when multiplying \(10(0.2k + 2)\) and \(10(1.4k - 1)\). He should have \(2k + 20=14k-10\) instead of \(2k + 2=14k - 1\). b. …
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which statement about the value of x is true? x > 38 x < 39 x < 77 x > …
\(x>38\)
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which represents an exterior angle of triangle abf? ∠bad ∠afe ∠cad ∠cab
\(\angle AFE\)
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the figure below is dilated by a factor of 3 centered at the origin. pl…
Plot the points \((0,-6)\), \((3,-6)\), \((9,6)\), \((-9,3)\) and connect them.
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which statements are always true regarding the diagram? select three op…
\(m\angle5 + m\angle6 = 180^{\circ}\), \(m\angle2 + m\angle3=m\angle6\), \(m\angle2 + m\angle3 + m\angle5 = 180^{\circ}\)
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the value of x is 84 96 132 264
96
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given: \\( \\triangle abc \\) prove: \\( m \\angle zab = m \\angle acb …
First blank: Linear Pair Postulate; Second blank: Triangle Angle - Sum Theorem; Third blank: Subtraction Property of Equality.
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the measure of angle abc is the measure of angle bac is the measure of …
The measure of angle \(ABC\) is \(60^{\circ}\). The measure of angle \(BAC\) is \(110^{\circ}\). The measure of angle \(ACB\) is \(10^{\circ}\).
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use the diagram showing ( m parallel n ), as well as the relationships …
The measure of angle \(ABC\) is \(120^{\circ}\). The measure of angle \(BAC\) is \(50^{\circ}\). The measure of angle \(ACB\) is \(10^{\circ}\).
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analyzing angle relationships of triangles which statements are always …
\(m\angle3 + m\angle4 = 180^{\circ}\), \(m\angle2 + m\angle4 + m\angle6 = 180^{\circ}\)
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given: ( m parallel overline{cb} ) prove: ( mangle abc + mangle bac + m…
Alternate interior angles of parallel lines cut by a transversal are congruent.
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which represents an exterior angle of triangle xyz? ∠lxz ∠jxm ∠jxz ∠hxj
$\angle JXZ$
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the figure below is dilated by a factor of 4 centered at the origin. pl…
Plot the points \((0,0)\), \((8,0)\), \((0,8)\), \((-8,4)\) and \((4,-4)\) and connect them to form the dilated figure.
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what is the measure of \\( \\angle abd \\)? \\( 27 ^ { \\circ } \\) \\(…
\(114^{\circ}\)
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applying angle relationships of isosceles triangles what is the measure…
The measure of \( \angle EGF\) is \(65^{\circ}\). The measure of \( \angle CGF\) is \(115^{\circ}\)
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solving for angle measures what is the value of k? 115° (4k + 5)° (6k +…
\(10\)
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practice relating and calculating the measures and exterior angles of a…
\(98\)
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number of questions: 10 5. a square has sides that all equal 5. what is…
25
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solve for x and graph the solution. 5x² + 30x + 25 > 0 plot the endpoin…
The solution of the inequality \(5x^{2}+30x + 25>0\) is \(x<-5\) or \(x>-1\). On the number - line, we have open circles at \(x=-5\) and \(x=-1\). The graph consists of two rays: …
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what is the value of ( x ) in the figure shown below? ( x = )
\(30\)
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in the following figure, \\( \\overline { e b } \\) and \\( \\overline …
\(49\)
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for problems 14 and 15, parallel lines ( ell ) and ( m ) are cut by a t…
- For problem 14: \(x = 55\) - For problem 15: \(x = 88\)
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complete the proof. given: \\( \\angle spt \\cong \\angle opt, \\overli…
SAS Postulate (Steps 1, 2)
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complete the proof by filling in the blanks. given: \\( \\angle t \\con…
AAS Theorem
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4. joses door is 9 feet high and 5 feet wide. what is the perimeter of …
28 feet
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3. joses door is 9 feet high and 5 feet wide. what is the area of joses…
45 square feet
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complete the proof. given: \\( \\angle abd \\cong \\angle cbd, \\angle …
ASA (Angle - Side - Angle)
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2. amelias garden is 7 feet long and 8 feet wide. what is the perimeter…
30 feet
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13. nora and so - hee each solve the equation ( 2 ( 6 - 4 x ) = - 2 x -…
a. So - hee's solution is correct. b. In Nora's work, the step \(2(6)-4x=-2x - 2\) is the first incorrect step. c. When using the distributive property \(a(b + c)=ab + ac\) for \(…
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solve for x and graph the solution. x² + 4x - 12 ≥ 0 plot the endpoints…
The solution of the inequality \(x^{2}+4x - 12\geq0\) is \(x\leq - 6\) or \(x\geq2\). On the number - line, we plot closed circles (since the inequality is \(\geq\)) at \(x=-6\) a…
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complete the two - column proof. given: \\( \\overline { t r } \\cong \…
Corresponding parts of congruent triangles are congruent.
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solve for x and graph the solution. -2(x - 5)(x + 5) ≥ 0 plot the endpo…
The solution of the inequality \(-2(x - 5)(x + 5)\geq0\) is \(-5\leq x\leq5\). On the number - line, we plot closed circles at \(x=-5\) and \(x = 5\) and shade the region between …
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complete the two - column proof. given: ( overline{tr}congoverline{ue},…
Corresponding parts of congruent triangles are congruent.
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1. amelias garden is 7 feet long and 8 feet wide. what is the area of a…
56 square feet
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solve for x and graph the solution. -3(x + 3)(x + 4) < 0 plot the endpo…
The solution of the inequality \(-3(x + 3)(x + 4)<0\) is \(x<-4\) or \(x>-3\). On the number - line, we have open circles at \(x=-4\) and \(x=-3\), and the graph consists of two r…
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the figure below is dilated by a factor of 4 centered at the origin. pl…
Plot the points \((-4,-8)\), \((8,8)\), \((-8,4)\) and connect them to form the dilated image.
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solve for x and graph the solution. -(x + 3)(x - 5) ≤ 0 plot the endpoi…
The solution is \(x\leq - 3\) or \(x\geq5\). On the number - line, plot a closed circle at \(x=-3\) and shade to the left, and plot a closed circle at \(x = 5\) and shade to the r…
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practice using the relationship between a circles circumference and dia…
a. \(44\) inches b. \(44\pi\) inches For the coin problem: Yes, the coin will fit through the slot. Because the diameter of the coin \(d = 32\) mm (calculated from \(C=\pi d\) wit…
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the figure below is dilated by a factor of 3 centered at the origin. pl…
Plot the points \((-9,3)\), \((9,3)\) and \((0,-6)\) and connect them.
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modeling real life a map shows the number of steps you must take to get…
The two triangles are similar by the AA (Angle - Angle) similarity criterion. The number of steps from the pyramids to the treasure is \(720\).
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question what is the image of $(-12,0)$ after a dilation by a scale fac…
\((-6,0)\)
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applying the triangle midsegment theorem \\( \\overline { mo } , \\over…
\(19\)
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16. use the rectangle diagram at the right. part a write and solve an i…
For Part A: The inequality is \( 2x + 8<12.24 \) and the solution is \( 0<x<2.12 \). For Part B: Since \( x>0 \) (a side - length of a rectangle cannot be non - positive), values …
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completing a proof given: \\( \\triangle stu \\) with \\( \\overline{st…
\(\frac{SX}{XU}=\frac{TY}{YU}\)
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choose all the acute triangles.
The top - right green triangle and the bottom - right orange triangle are acute triangles.
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solve for x and graph the solution. 5(x - 2)(x + 6) ≥ 0 plot the endpoi…
The solution of the inequality \(5(x - 2)(x + 6)\geq0\) is \(x\leq - 6\) or \(x\geq2\). On the number - line, we plot closed circles at \(x=-6\) and \(x = 2\). The graph consists …
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applying the converse of the side - splitter theorem which value of x w…
\(x = 8\) (the fourth option)
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solve for x and graph the solution. -(x - 2)(x - 5) ≤ 0 plot the endpoi…
The solution of the inequality \(-(x - 2)(x - 5)\leq0\) (or \((x - 2)(x - 5)\geq0\)) is \(x\leq2\) or \(x\geq5\). On the number - line, we plot closed circles at \(x = 2\) and \(x…
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finding the distance between two points what is the distance between po…
\(9.8\)
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2 numeric 1 point if ( rs = 59 ) and ( overline{st}=10x - 31 ), find ( …
\(9\)
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finding an unknown length what is the length of \\( \\overline { b c } …
\(D\) is the midpoint of \(\overline{AC}\); mid - segment; \(x = 5\); \(BC = 10\)
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15. a pool can hold 850 gallons. it now has 598 gallons of water and is…
The inequality is \(598 + 15.75m\leqslant850\) and the solution is \(m\leqslant16\). On the number - line, a closed circle at 16 and shading to the left.
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14 numeric 1 point if ( lm = 41 - 2x ) and ( np = 7x + 5 ), find lm. an…
\(33\)