几何
三角形、圆、解析几何与证明题。
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given: \\( \\angle 4 \\cong \\angle 6 \\) prove: \\( \\angle 4 \\) and …
2. \(\angle4\) and \(\angle7\) are supplementary (Reason: Linear Pair Postulate) 4. \(\angle6\cong\angle7\) (Reason: Vertical Angles Theorem) 5. \(\angle4\cong\angle7\) (Since \(\…
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what combination of transformations is shown below? rotation, then refl…
rotation, then translation
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the scale drawing is a map of a community center. the scale is shown in…
The number is \(8\). The actual distance from the kitchen to the dining area is \(24\) ft.
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find the length of the third side. if necessary, round to the nearest t…
\(9.4\)
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which diagram shows how sergio can cut the parallelogram? what is the a…
\(24\)
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select the correct answer. an interior angle of a regular convex polygo…
B. 8
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write an equation for the area, a, of the triangle shown. now find the …
\(30\)
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the parallelogram ( hijk ) is a dilation of the parallelogram ( hijk ).…
\(\frac{1}{4}\)
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the rectangle ( ijkl ) is a dilation of the rectangle ( ijkl ). what is…
\(\frac{1}{2}\)
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the radius of a circle is 8 meters. what is the circumference? give the…
\(16\pi\)
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the radius of a circle is 10 centimeters. what is the area? give the ex…
\(100\pi\)
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the radius of a circle is 5 miles. what is the circumference? give the …
\(10\pi\)
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this question has two parts. first, answer part a. then, answer part b.…
- Part A: \(\{u|u < 9\}\) - Part B: The correct graph is the one with an open - circle at \(9\) and an arrow pointing to the left (assuming option B in the given graph choices is …
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each side of a triangle lies along a line in a coordinate plane. the th…
$(-2,1),(1,\frac{5}{2}),(-1,-1)$
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11. find the measure of each missing angle.
\(m\angle1 = 45^{\circ}\), \(m\angle2 = 55^{\circ}\), \(m\angle3 = 35^{\circ}\), \(m\angle4 = 27.5^{\circ}\), \(m\angle5 = 27.5^{\circ}\)
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10. find the measure of each missing angle. m∠1 = m∠2 = m∠3 = m∠4 = m∠5…
\(m\angle1 = 44^{\circ}\), \(m\angle2 = 44^{\circ}\), \(m\angle3 = 88^{\circ}\), \(m\angle4 = 88^{\circ}\), \(m\angle5 = 36^{\circ}\)
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problem 9: spiral review a 12 - foot flagpole casts a shadow that is 5 …
\(x = 30\) feet
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identify two angles that are marked congruent to each other on the diag…
\(\angle IJH\) and \(\angle MHJ\)
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identify a pair of segments that are marked perpendicular to each other…
\(JK\) is perpendicular to \(JL\)
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in the figure below, ( mangle1=(x - 24)^{circ} ) and ( mangle2 = 5x^{ci…
\(m\angle1 = 10^{\circ}\), \(m\angle2=170^{\circ}\)
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in the figure below, ( m angle 1=(x + 42)^{circ} ) and ( m angle 2=2 x^…
\(m\angle1 = 58^{\circ}\), \(m\angle2=32^{\circ}\)
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3. rectangle abcd is shown in the xy - coordinate plane. the rectangle …
A. \(\overline{BC}\perp\overline{A'B'}\), B. \(\overline{AD}\parallel\overline{B'C'}\), D. Point \(A'\) has the same coordinate as point \(B\), E. Point \(D'\) has the same coordi…
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6. solve for x. 19x - 28 6x + 7 x =
\(x = 6\)
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the area of a parallelogram with base ( b ) and height ( h ) is ( bh ).…
96
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in the figure below, ( mangle1 = 3x^{circ} ) and ( mangle2=(x + 88)^{ci…
\(m\angle1 = 69^{\circ}\), \(m\angle2 = 111^{\circ}\)
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2. line $y - 2x = 1$ is transformed by a dilation with a scale factor o…
A. it has slope 2 and y - intercept \((0,4)\)
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problem 6: part b here is a line. drag the points to draw a line that i…
Line 1: \(4\) Line 2: \(4\)
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determine a series of transformations that would map figure c onto figu…
Reflect over the \(x\) - axis followed by a translation \(9\) units to the right.
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find the area of the shape. (sides meet at right angles.)
19 square yards
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1. the figure shows line ab and line cd intersecting at point o. which …
B. A dilation of line AB with center C and a scale factor of 1 results in a line that is the same as line AB; C. A dilation of line CD with center D and a scale factor of 2 result…
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problem 4 determine the slope.
\(2\)
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the area of a parallelogram with base b and height h is bh. greta is us…
\(8.5\)
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5. solve for x. 10x + 44 8x - 23
\(x = 15\)
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which transformation, when performed on a geometric figure abc,d, will …
D. Dilation with factor 3
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for items 14 and 15, refer to the diagram. what is ( mangle mnt )?
\(25^{\circ}\)
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question answer all of the questions below in order to determine the vo…
432
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28. which types of symmetry does the figure display? select all that ap…
A. reflectional symmetry across a vertical line, B. reflectional symmetry across a horizontal line, D. \(180^{\circ}\) rotational symmetry.
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extra credit #3: triangle midsegment 4. if c, p and t are the midpoints…
a. \(58\) b. \(26\) c. \(21.5\) d. \(127\)
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x = 4.7 cm d) 60° 11.3 cm
$x\approx6.52$ cm
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which choice shows ( d_{\frac{1}{1}} ) (wxyz)?
A.
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you can reflect a point across an axis in the coordinate plane. reflect…
For point \(A\), the distance is \(4\). For point \(A'\), the distance is \(4\).
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answer attempt 2 out of 4 figure hijk is not congruent to figure rstu b…
The scale factor from Figure \(HIJK\) to Figure \(RSTU\) is \(\frac{1}{2}\)
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extra credit #3: triangle midsegment 2. name all segments parallel to t…
a. $\overline{YZ}\parallel\overline{RT}$ b. $\overline{RS}\parallel\overline{XZ}$ c. $\overline{XY}\parallel\overline{TS}$
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extra credit #3: triangle midsegment 1 identify all pairs of parallel s…
a. \(BD\parallel AE\) b. \(BF\parallel CE\) c. \(FD\parallel AC\)
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when graphed on a coordinate plane beths house is located at (4, 3) and…
\(\sqrt{52}\text{ miles}\)
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8. joanie is cutting pieces of colored string to create an obtuse trian…
Yes, Joanie can create an obtuse triangle. Because for a triangle with side - lengths \(a = 10\), \(b = 12\), \(c = 16\) (where \(c\) is the longest side), \(a^{2}+b^{2}=10^{2}+12…
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in the formula ( d = sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ {…
Each subtraction expression represents the length of one leg of a right triangle with a hypotenuse of length \(d\).
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what is the distance between the points (7, 8) and (-8, 0) on a coordin…
\(17\)
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the points $(0,0)$, $(0,8)$, and $(5,0)$ are vertices of a right triang…
\(8\) \(5\) \(\sqrt{89}\)
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which expression represents the distance between point $(0,a)$ and poin…
\(\sqrt{2a^{2}}\)
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for each pair of figures below, choose how they are related.
1. Rotation 2. Reflection 3. Reflection 4. Translation
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which expression represents the distance between the points (a, 0) and …
\(\sqrt{a^{2}+25}\) (the fourth option)
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7. tony is putting a wooden border around the outside of his triangular…
No, the two boards will not give the same type of triangle. When the third side is \(14\) - ft, the triangle is acute (\(8^{2}+12^{2}=208>14^{2} = 196\)). When the third side is \…
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each point on the edge of a circle is equidistant from the center of th…
\((0,-5)\)
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use the distance formula to find the exact distance between the points …
\(\sqrt{181}\)
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7. tony is putting a wooden border around the outside of his triangular…
No, the two boards will not give the same type of triangle. When the third side is \(14\) - ft, the triangle is acute (\(8^{2}+12^{2}=208>14^{2} = 196\)). When the third side is \…
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question from her eye, which stands 1.68 meters above the ground, hanna…
\(118.25\) meters
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which equation correctly shows how to determine the distance between th…
\(d = \sqrt{(6 - 9)^2+(3 - (-2))^2}\) (the fourth option)
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question elizabeth wants to use a sheet of fiberboard 27 inches long to…
\(7.9\) inches
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what is the distance between $(-6,2)$ and $(8,10)$ on a coordinate grid…
\(\sqrt{260}\)
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5. iu find each measure. p
\(IU = 7\)
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question from her eye, which stands 1.69 meters above the ground, sadie…
\(201.98\) meters
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graph the image of parallelogram pqrs after a reflection over the line …
Plot the points \(P'(10,-9)\), \(Q'(10,-7)\), \(R'(8,-2)\), \(S'(8,-4)\) and connect them to form the reflected parallelogram.
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finding the distance from the origin find the distance between the poin…
\(\sqrt{a^2 + b^2}\)
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use the rectangle diagram. a. write and solve an inequality to find the…
a. \(x<28\) b. Yes. Values of \(x\) such that \(x\leq0\) can be eliminated. Because \(x\) represents the length of a side of a rectangle, and length cannot be non - positive.
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george calculated the distance between (2,4) and (6,3) using the distan…
Yes, he is correct.
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find the volume of the rectangular prism. write your answer in simplest…
\(7\text{ m}^3\)
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calculating the distance between two points what is the distance betwee…
\(\sqrt{98}\)
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use the distance formula to find the distance between $(-8,2.5)$ and $(…
$10.63$
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use the rectangle diagram. a. write and solve an inequality to find the…
a. The correct inequality is C. \(2x + 2(x + 4)<120\), and the solution of the inequality \(2x+2(x + 4)<120\) is \(x<28\). b. Yes. Since \(x\) represents a dimension (width) of a …
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find the volume of the rectangular prism. write your answer in simplest…
\(\frac{8}{75}\text{ cm}^3\)
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question from a hot - air balloon, juan measures a ( 36 ^ { circ } ) an…
\(437.4\) feet
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enter a number that correctly completes the following statement. the po…
13
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find the area of the figure below by first finding the areas of the rec…
Area of the rectangle: \(2\) square units; Area of the triangle: \(1\) square units; Area of the figure: \(3\) square units.
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pre-algebra ic sem 2 fall 2025 finding distance in the coordinate plane…
\(\sqrt{58}\)
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4. ( mangle ewl ) ( (7x + 5)^{circ} ) ( (3x + 21)^{circ} )
\(33^{\circ}\)
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question luis is flying a kite, holding his hands a distance of 3.75 fe…
\(84.1\) feet
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which triangle would be most helpful in finding the distance between th…
The second triangle (the one in the top - right of the four options) is most helpful.
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use the drop downs to answer the following questions about the distance…
Horizontal leg: \(7\); Vertical leg: \(2\); Distance between points: \(\sqrt{53}\)
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for problems 9 - 14, find the area of the shapes. 9. area = 10. area = …
9. \( 35\ \text{ft}^2\) 10. \( 105\ \text{yd}^2\) 11. \( 50\ \text{m}^2\) 12. \( 21\ \text{in}^2\) 13. \( 113.04\ \text{ft}^2\) 14. \( 9\ \text{in}^2\)
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find the area of this trapezoid. be sure to include the correct unit in…
\(88\mathrm{ft}^2\)
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question you start driving east for 18 miles, turn right, and drive sou…
\(18.7\) miles
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polygon abcd is reflected and dilated to give polygon pqrs. the coordin…
C. 0.5
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answer all of the questions below in order to determine the volume of t…
\( 150 \)
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find the area of this trapezoid. be sure to include the correct unit in…
\(36\space m^{2}\)
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solve △abc if m∠a = 100°, m∠c = 23°, and c = 250 in. round each side an…
\(m\angle B = 57^{\circ}\), \(a\approx630.4\) in, \(b\approx536.3\) in
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c) y 68° 20.8 m
$7.8$ m
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this isosceles triangle has two sides of equal length, a, that are long…
\(3.1\)
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this isosceles triangle has two sides of equal length, a, that are long…
\(12.6 + b = 15.7\)
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this isosceles triangle has two sides of equal length, a, that are long…
\(2\times6.3 + b = 15.7\)
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b) 16 cm 57° x
\(x\approx19.1\) cm
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2. if |a| = 15cm, |b| = 22 cm, and the two vectors make an angle of 135…
The magnitude of \(-\vec{b}+\vec{a}\) is approximately \(15.57\) cm and the angle (with respect to \(\vec{a}\)) is approximately \(87.9^{\circ}\)
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quadrilateral ( jklm ) is rotated ( -270^{circ} ) about the origin. dra…
Follow the above steps to draw the rotated quadrilateral. First, determine the coordinates of the original vertices, then apply the \((x,y)\to(y, -x)\) rule, and finally plot and …
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7. a rectangle has a length of $3\\frac{7}{8}$ inches and an area of $6…
\(\frac{111}{16}=\frac{31}{8}\times w\)
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pre-algebra ic sem 2 fall 2025 finding distance in the coordinate plane…
\((3,4)\), \((-2,-2)\)
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solve △abc if a = 5cm, b = 13cm, and c = 9cm. round each side and angle…
\(A\approx15.9^{\circ}\), \(B\approx134.2^{\circ}\), \(C\approx29.9^{\circ}\)
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pre-algebra ic sem 2 fall 2025 finding distance in the coordinate plane…
\(121 + 256 = c^{2}\), \(11^{2}+16^{2}=c^{2}\)
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select the correct answer. what is the value of x? a. 73° b. 71° c. 70°…
# Explanation: ## Step1: Recall the sum of exterior angles of a polygon The sum of exterior angles of any polygon is \(360^{\circ}\). ## Step2: Set up the equation We have \(x + 5…
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1 type the correct answer in the box. determine the value of x in this …
\(16\)
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this question has two parts. first, answer part a. then, answer part b.…
Part A: \(\{v|v\leq - 3\}\) Part B: Option B (the number line with a closed circle at \(-3\) and arrow pointing left)