Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the big trail was shot on grandeur 70, an early widescreen film format …
B. to showcase
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find the missing side.
17
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the student wants to describe the structure of \sky mirror.\ which choi…
B. Anish Kapoor's "Sky Mirror" consists of a large, concave stainless steel mirror positioned at an upward angle on a concrete pedestal.
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1. calculate the area of the following composite shape: 3k 2. calculate…
\(222\space cm^{2}\) ### 2. Calculate the perimeter of the composite shape
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a rectangular pool at andys gym measures 25 m by 50 m. how far would an…
\(55.9\space m\)
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given the lengths 10\, 15\, 17\, classify the triangle formed and or st…
Acute triangle
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find the missing side
\(\sqrt{41}\)
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the lengths of a triangle are given below. is the the triangle obtuse, …
acute
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7 the perimeter of the rectangle is 58 units. solve for the value of x.…
B. \(x = 7\) ### Question 8
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which is a pythagorean triple? 7,14,15 4.5,12,13 8,15,17 3,8,11
\(8,15,17\)
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given: ( jklm ) is a parallelogram. ( angle 2 cong angle 3 ) prove: ( a…
1. definition of a parallelogram 2. \(\angle2\) 3. \(\angle3\) 4. transitive property of congruence
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which equation would you use to find the missing side? 48² + 60² = x² 4…
\(48^{2}+x^{2}=60^{2}\) (the fourth option in the given choices)
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6. what are the coordinates of the point \\( \\frac { 1 } { 4 } \\) of …
The coordinates of the point are \((-2,0)\)
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each pair of polygons is similar. determine the missing side measures.
\(x = 16\)
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is this triangle a right triangle?
no
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a rectangular high jump pit is 25 feet long and 10 feet wide. which of …
27 feet
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given: e is the midpoint of df. prove: 2de = df drag an expression or s…
1. \( \overline{EF} \) 2. segment congruence postulate 3. segment addition postulate 4. \( DF \)
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for items 7 - 8, suppose \\( \\overline { x y } \\) has one endpoint at…
7. \((6,8)\) 8. \((9,12)\)
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one pound equals 0.45 kilogram. cathy weighs 81.36 kilograms on the bat…
\(72\) pieces.
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which statement is true about this argument? premises: if a quadrilater…
The argument is not valid because the conclusion does not follow from the premises.
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which is not a pythagorean triple? 16,30,34 8,15,17 24,45,51 4,7,8
\(4,7,8\) is not a Pythagorean triple.
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which statement is true about this argument? premises: if a triangle ha…
The argument is not valid because the conclusion does not follow from the premises.
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which statement is true about this argument? premises: if an angle meas…
The argument is valid by the law of detachment.
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which set of side lengths does not form a triangle? 39, 80, 89 14, 15, …
\(14,15,29\)
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chloe draws three parallelograms. in each figure, she measures a pair o…
In a parallelogram, consecutive angles are supplementary
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ricardo draws three right triangles. in each figure, he measures a pair…
In a right triangle, the acute angles are complementary.
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if the legs of a right triangle are 16 and 63, what is the length of th…
65
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details no additional details were added for this assignment. jamar dra…
When a pair of parallel lines are intersected by a third line, the same - side interior angles are supplementary.
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10, 12, 25 not a triangle right obtuse acute
not a triangle
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1 mrs. loan bought a pair of jeans that normally cost $40 for a sale pr…
A. \( 40\% \)
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level 2 solve for the value of y
\(y = 5\)
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1 fill in the blark the image shov circle with a shaded sector. if you …
1. \(150\pi\) (or \(471.00\)) square feet 2. \(10\pi\) (or \(31.40\)) feet
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what is the value of x?
\(x = 4\)
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10. determine the surface area of a sphere with a radius of 6 cm.
The surface area of the sphere is \(452.16\space cm^{2}\)
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4. determine the value of x in the following diagram.
\(x = 66\)
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a furniture maker has a angular piece of wood shaped like the one in th…
The furniture maker should first bisect the three angles of the triangular wood. The intersection of these angle bisectors is the in - center. Then, draw a perpendicular from the …
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a furniture maker has a triarlar piece of wood shaped like the one in t…
First, construct the angle bisectors of the triangle to find the in - center. Then, construct a perpendicular from the in - center to a side to get the radius. Finally, use the in…
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3. determine the measure of ∠1, ∠2, and ∠3 in the following diagram.
\(\angle1 = 25^{\circ}\), \(\angle2=155^{\circ}\), \(\angle3 = 25^{\circ}\)
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∠ and ∠b are supplementary angles. if ∠b = 61°, find the measure of ∠a.
\(119^{\circ}\)
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construct arguments determine whether each statement is always, sometim…
Sometimes, this is true only if lines \(a\) and \(b\) are coplanar and non - parallel.
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1 fill in the blank 1 point find the missing value. 2 essay 1 point stu…
\(3\)
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10. determine the surface area of a sphere with a radius of 6 cm.
If using the exact form: \(144\pi\space cm^{2}\). If using \(\pi\approx3.14\): \(452.16\space cm^{2}\)
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9. determine the surface area of a cube with sides that measure 8 mm.
The surface area of the cube is \(384\space mm^{2}\)
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8. determine the surface area of a rectangular solid that has a height …
\(310\) mm²
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draw a 15° angle using the ruler and protractor.
The angle \( \angle AOB = 15^{\circ} \) is drawn.
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the measure of the arc ab is 30 degrees. 1. what is the measure of ∠boa…
1. \(30\) 2. \(15\) 3. \(15\)
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7. determine the area of a triangle with a base of 2 ft and a height of…
\(12\) square feet
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in the figure below, g is between e and h, and f is the midpoint of \\o…
\( 8 \)
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in the figure below, b is between a and c, and c is between b and d. if…
\(6\)
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6. determine the circumference and area of the circle. 7. determine the…
Circumference: \(25.12\) cm, Area: \(50.24\) cm²
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5. determine the area and perimeter of the rectangle. 16 mm 30 mm 6. de…
The area of the rectangle is \(480\) \(mm^{2}\) and the perimeter is \(92\) mm.
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which sequence of transformations could map △abc to △xyz? a reflection …
a reflection across line \(m\) and a dilation
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classification of rigid motions for exercises 1 - 5, use the diagram. 1…
A reflection over the \(x -\)axis followed by a translation \(4\) units to the left.
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4. a glide reflection is a composition of ______________ that first ___…
A glide reflection is a composition of two transformations that first reflects the preimage across a line and then translates the image in the direction of the line. A glide refle…
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triangle mnp will be dilated according to the rule ( d_{p,2}(x,y) ), wh…
D. (-4, 8)
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triangle klm was dilated according to the rule ( d_{0.075}(x,y) ) what …
- \(D_{O,0.75}(x,y)=(0.75x,0.75y)\) - \(\overline{LM}\) is parallel to \(\overline{L'M'}\) - The vertices of the image are closer to the origin than those of the pre - image
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is quadrilateral jklm the result of a dilation of quadrilateral abcd by…
No, because sides JM and KL have different slopes from sides AD and BC
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what is the relationship of the following angles ∠2 & ∠10 vertical angl…
corresponding angles
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triangle mnp is dilated according to the rule ( d_{0,1.5}(x,y) ightarro…
M'(-6, 9) and N'(4, 9)
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parallelogram mnpq was dilated to create parallelogram mnpq which state…
- The length of side \(MN\) is \(2\) units. - The length of side \(M'N'\) is \(5\) units. - Sides \(MQ\) and \(M'Q'\) both have the same slope, \(1\).
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what is the relationship of the following angles ∠2 & ∠10 vertical angl…
corresponding angles
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which composition of similarity transformations maps polygon abcd to po…
a dilation with a scale factor less than 1 and then a reflection
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what is the measure of an exterior angle of a triangle if the two non -…
\(120^{\circ}\) (the orange - colored option)
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find the area. 4 a = _
\(49m^{2}\)
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△rs is dilated with the rule d_t1/1 (x, y), where the center of dilatio…
The distance between the \(x -\)coordinates of \(R\) and \(T\) is \(2\). The distance between the \(y -\)coordinates of \(R\) and \(T\) is \(6\). \(R'\) is \(1\) unit from \(T\) i…
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which composition of similarity transformations would map polygon abdc …
a dilation with a scale factor greater than 1 and then a rotation
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quadrilateral qrst is dilated and translated to form similar figure qrs…
$\frac{1}{2}$
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given △abc, use a dilation with the center at the origin to make a simi…
\((6, - 3)\)
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3. carolina wrote the following rule for the glide reflection that maps…
Carolina should have written \((T_{(0, - 4)}\circ r_{e})(\triangle MNQ)=\triangle M'N'Q'\) because for a glide reflection (a composition of a reflection \(r_{e}\) and a translatio…
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derek tried to dilate the isosceles trapezoid abdc with the center of d…
The slope of \(AC\) is \(\frac{2}{3}\). The slope of \(EG\) is \(\frac{2}{1}\). The polygons are not dilations of each other because the slopes of corresponding segments are not e…
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triangle xyz was dilated using the rule ( d_{0,0.25}(x,y)\to(0.25x,0.25…
A. (-8, -4)
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the rule for the dilation of quadrilateral qrst to the image qrst is ( …
$(0,1)$
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a has the coordinates (-4, 3) and b has the coordinates (4, 4) if ( d_{…
- $\overline{AB}$ is parallel to $\overline{A'B'}$ - $D_{O,\frac{1}{2}}(x,y)=(\frac{1}{2}x,\frac{1}{2}y)$ - The distance from $A'$ to the origin is half the distance from $A$ to t…
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a glide reflection is a composition of a refl 1. draw $(t_{(0,-2)}circ …
Plot the points \(A''(4,-6)\), \(B''(4,2)\) and \(C''(10,2)\) and connect them to form the triangle \((T_{(0,-2)}\circ r_{p})(\triangle ABC)\)
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the triangles below are congruent and their corresponding parts are mar…
(a) \(\angle A\cong\angle Z\), \(\angle B\cong\angle X\), \(\angle C\cong\angle Y\) (b) \(\overline{AB}\cong\overline{ZX}\), \(\overline{AC}\cong\overline{ZY}\), \(\overline{BC}\c…
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find the area of this irregular shape. a = ? ft² find the area of recta…
\(40\)
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find the area of this irregular shape. a = ? ft² hint: area of a triang…
\(150\) \(ft^{2}\)
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the triangles below are congruent and their corresponding parts are mar…
(a) \(\angle A\cong\angle Z\), \(\angle B\cong\angle X\), \(\angle C\cong\angle Y\) (b) \(\overline{AB}\cong\overline{ZX}\), \(\overline{AC}\cong\overline{ZY}\), \(\overline{BC}\c…
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find the area of this irregular shape. a = ? m² find the area of rectan…
\(56\)
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find the area of this irregular shape. hint: area of a triangle a = bh …
\(51\)
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find the area of this irregular shape. a = ? ft²
\(60\)
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in the figure below, suppose ( mangle 2 = 45^{circ} ) and ( mangle 4 = …
The sum of the interior angle measures of a triangle must be \(180^{\circ}\). So, \(m\angle1 + m\angle2+m\angle4 = 180^{\circ}\). \(m\angle1 + m\angle4=135^{\circ}\). \(m\angle2 +…
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in the figure below, lines ( l ) and ( k ) are parallel. suppose that (…
By the angle addition property, \(m\angle4 + m\angle2 + m\angle5 = 180^{\circ}\). We are given that \(m\angle4 = 43^{\circ}\) and \(m\angle5 = 72^{\circ}\), so \(m\angle2 = 65^{\c…
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given the dilation rule ( p_{0,\frac{1}{3}}(x,y)\to(\frac{1}{3}x,\frac{…
D. (0, 3)
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: $x\geq1$ For the number - line: Plot a closed circle at \(x = 1\) (because the inequality is \(\geq\)) and draw a line to the right of \(x = 1\) towards posit…
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the length of a rectangle is five times its width. if the perimeter of …
length: \( 25 \) in, width: \( 5 \) in
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line segment xy is dilated to create line segment xy using point t as t…
15 units
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dilation ( d_{v,\frac{2}{5}} ) was performed on a rectangle. how does t…
- The image is a reduction because \(0 < n < 1\) - The side lengths of the image are two - fifths the size of the corresponding side lengths of the pre - image - The base of the i…
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classify the triangles by their sides and angles. obtuse isosceles acut…
Obtuse Isosceles: Second triangle; Acute Scalene: Fourth triangle
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sissy wants to enlarge a picture of a constellation so that she can put…
\(486\ \text{in}^2\) (the fourth option)
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additional details were added for this assignment. suppose \\( \\triang…
\(\overline{JP}\) corresponds to \(\overline{MB}\), \(\overline{XP}\) corresponds to \(\overline{QB}\), \(\angle P\) corresponds to \(\angle B\), \(\angle J\) corresponds to \(\an…
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triangle abc is dilated to create triangle abc using point o as the cen…
3
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details no additional details were added for this assignment. which sta…
\(\triangle JKL\) is congruent to \(\triangle MNP\) because \(\triangle JKL\) can be mapped to \(\triangle MNP\) by a reflection across the \(y -\)axis.
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triangle bcd was dilated using the rule what are the values of the unkn…
\(m\angle C'B'D'=51\), \(CQ = 6\), \(B'D'=11\)
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rectangle lmnp was dilated using the rule ( d_{p,3} ). which statements…
- The length of line segment \(M'N'\) is \(18\) units. - The dilation is an enlargement. - The scale factor is \(3\).
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given (\triangle rstcong\triangle lmn), (mangle r = 65^{circ}), and (ma…
\(45\)
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a rectangle is dilated by a scale factor of ( n = 1 ). which statement …
The image will be congruent to the pre - image because \(n = 1\)
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calculator what is ( mangle aeb )? enter your answer in the box ( mangl…
\(115\)
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line segment lm is dilated to create lm using point q as the center of …
\(6\)
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a triangle is dilated by a scale factor of ( n=\frac{1}{3} ). which sta…
It is a reduction because \(0 < n<1\) (the second option).