Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a man whose height is 2.1 m casts a shadow that is 3.2 m in length. wha…
\(7.5\ m\)
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if in = 5x - 15 and at = 55, find x.
14
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given the diagram below what is the length of rs or the distance across…
\(85m\) (the second option)
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toby is designing a court for a new sport that is played on a triangle …
\(18.97\)
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no additional details were added for this assignment. the volume of a c…
\(21.4\)
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use the pythagorean theorem to find the length of the hypotenuse of the…
\(14.87\)
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what is the measure of angle x? 41° 35° 38° 52°
\(35^{\circ}\)
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which property of similarity can be used to prove triangles def and ghi…
SSS
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the volume of a sphere is the amount of space inside the sphere and is …
\(10.6\)
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question 2 what property could you use to show that triangles pqr and x…
HL
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what property could you use to show that these two triangles are congru…
SSS
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use the pythagorean theorem to find the missing leg of the triangle bel…
\(16.49\)
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find the value of x. 27 35 3 2
\(3\)
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what is the measure of angle egh? 78° 26° 102° 38°
\(102^{\circ}\)
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the diagram shows a triangle. what is the value of a? a =
\(14\)
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solve for a. a =
\(4\)
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line q passes through points (1,1) and (4,9). line r passes through poi…
perpendicular
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these two polygons are similar. y = ?
\(7.5\)
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find the measure of the interior angle at b using the diagram below. dr…
\(50^{\circ}\)
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the diagram shows a triangle. what is the value of a? a =
\(a = 4\)
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find the measure of the interior angle at a using the diagram below.
\(51^{\circ}\)
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find the measure of the interior angle at f using the diagram below. dr…
\(48^{\circ}\)
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no additional details were added for this assignment. 3. set these two …
\(y=\frac{1}{4}(x - 3)^2+3\)
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would you use sss or sas to prove the triangles congruent? if there is …
A. \(\triangle KSZ\cong\triangle TSY\), SSS
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name heidi lyon date 11 - 5 - 2025 read the math story. make a simple m…
1. Chris compró $15$ treats. 2. Cindy tiene $17$ pets.
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solve and graph the following inequality: provide an answer as a simpli…
\(m\geq - 1\) To graph \(m\geq - 1\) on a number line: - Place a closed circle (because the inequality is \(\geq\)) at \(-1\). - Shade to the right of \(-1\) to represent all valu…
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determine the relationship between the two triangles and whether or not…
The two triangles are related by **Hypotenuse - Leg (HL)**, so the triangles **are congruent**.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by **reflection (a transformation)**, so the triangles **are congruent (by SAS)**.
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identify the exterior angles and interior angles formed by the transver…
Angles \(1,3,6,\) and \(8\) are exterior angles. Angles \(2,4,5,\) and \(7\) are interior angles.
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this is the only question in this section. question solve for x
\(x = 12.5\)
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parallel lines r and s are cut by two transversals, parallel lines t an…
\(\angle8\) and \(\angle14\)
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if the measure of ∠1 is 68°, what is the measure of ∠5?
68°
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question solve for x and graph the solution on the number line below. -…
Inequality Notation: \(x\leq1\) To graph \(x\leq1\) on the number line: - Place a closed circle at \(x = 1\) (because the inequality includes equality, i.e., \(x\) can be equal to…
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find the segment length indicated. assume that lines which appear to be…
\(8\)
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parallel lines cut by a transversal what is the measure of ∠1?
\(88^{\circ}\)
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determine if line ab is tangent to the circle
Since \(8^{2}+6^{2}=10^{2}\), line \(AB\) is tangent to the circle.
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parallel lines t and u are cut by two transversals, r and s, which inte…
\(42^{\circ}\)
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the parks department is building a bike path and two running paths in a…
The bike path intersects both running paths.
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solve for x and graph the solution on the number line below. 10 + x > 3…
Inequality Notation: \(x > - 7\) To graph on the number line: - Draw a number line. - Place an open circle at \(-7\) (because the inequality is \(>\), not \(\geq\)). - Shade the l…
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which is enough information to prove that s || t? ∠1 ≅ ∠3 ∠5 + ∠6 = 180…
\(\angle2\cong\angle8\)
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the diagram shows several parking spots near the grocery store, formed …
\(48^{\circ}\)
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parallel lines s and t are cut by a transversal, r, as shown. what is t…
\(18\)
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two parallel lines are cut by a transversal. ∠1 measures (4x + 28)°, an…
\(8\)
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given that ( mangle t = 35^{circ} ) and ( mangle e = 125^{circ} ), what…
\(55\)
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corresponding angles postulate if two parallel lines are cut by a trans…
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are **congruent**. If two parallel lines are cut by a transversal, then the pairs of alterna…
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corresponding angles postulate if two parallel lines are cut by a trans…
\(m\angle1 = 67^{\circ}\), \(m\angle b = 132^{\circ}\), \(m\angle RST=42^{\circ}\)
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(7x + 27)° (10x - 6)° (9y - 5)° a) 9 doing the limbo b) 10 swimming lap…
C) 11
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dilate \\( \\triangle fgh \\) by a scale factor of 4 with the center of…
Plot the points \(F'(-4,-4)\), \(G'(0,-4)\), \(H'(-4,-8)\) and connect them to form the dilated triangle \(\triangle F'G'H'\).
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are lines l and m parallel? explain how you know.
Lines \(l\) and \(m\) are parallel. The supplementary angle of \(146^{\circ}\) is \(34^{\circ}\), which is equal to the other given angle. By the converse of the corresponding ang…
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triangle ghi and triangle qrs are drawn below. if \\( \\overline { g i …
The sequence of transformations is: Reflect triangle \(GHI\) over \(\overline{HI}\), then translate the reflected triangle. The congruence statement is \(\triangle GHI\cong\triang…
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this problem illustrates that a circumscribed angle and its associated …
\(98^{\circ}\)
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day 4 1. circle the hexagon. 2. name the shape. number of sides? number…
1. Circle the first (left - most) shape (the hexagon). 2. Name of the shape: Triangle; Number of sides: 3; Number of vertices: 3; Number of right angles: 1 (for the first triangle…
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what is the most specific name for the figure? a(a, -b) b(-a, -b) c(-2a…
Parallelogram
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classify the quadrilateral shown on the graph. rhombus rectangle trapez…
Rectangle
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in the isosceles trapezoid below, $x = ?^{circ}$ $5x + 15^{circ}$ $7x -…
\(13\)
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in order for the parallelogram to be a square, x = ?.
\(7\)
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the figure below is a rectangle. find the value of x. x =
\(x = 4\)
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with the information given, can you prove that this quadrilateral is a …
No
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no additional details were added for this assignment. question 8 what i…
\(72\)
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fg ⊥ gh and ij ⊥ jk. complete the proof that ∠fgh ≅ ∠ijk. 1 fg ⊥ gh 2 i…
1. Given 2. Given 3. Definition of perpendicular lines 4. Definition of perpendicular lines 5. Transitive property of equality 6. Definition of congruent angles
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dilate figure ( abcd ) by a scale factor of ( \frac{1}{2} ) with the ce…
The coordinates of the dilated figure \(A'B'C'D'\) are \(A'(2,2)\), \(B'(3,1)\), \(C'(3,3)\), \(D'(2,4)\) which are obtained by applying the dilation formula \( (x',y')=(k x,k y)\…
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graph the image of square efgh after the following glide reflection: tr…
Plot the points \((7,-11)\), \((15,-9)\), \((13,-3)\), \((7,-5)\) on the coordinate - plane and connect them to form the image of the square after glide - reflection.
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proofreading practice read the letter. find the five misspelled words a…
1. gratitood → gratitude 2. vakume → vacuum 3. manool → manual 4. younite → unite 5. rootine → routine
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∠e and ∠g are supplementary and ∠f and ∠e are supplementary. complete t…
4. Definition of supplementary angles; 5. Substitution property of equality; 7. Definition of congruent angles
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∠e and ∠g are supplementary and ∠f and ∠e are supplementary. complete t…
3. Definition of supplementary angles; 4. Definition of supplementary angles; 5. Transitive property of equality; 7. Definition of congruent angles.
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graph the image of trapezoid uvwx after the following glide reflection:…
Plot the points \(U''(7,-12)\), \(V''(1,-10)\), \(W''(1,-6)\), \(X''(7,-4)\) and connect them to form the image of the trapezoid after glide - reflection.
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complete the proof that ( overleftrightarrow{su} perp overleftrightarro…
1. Given 2. Definition of a linear pair (not perpendicular lines, the correct reason for \(m\angle SWT + m\angle TWU = 180^{\circ}\) is that \(\angle SWT\) and \(\angle TWU\) form…
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1) solve and graph the following inequality: 2x + 7 ≥ 5 1) provide an a…
The solution of the inequality \(2x + 7\geq5\) is \(x\geq - 1\). On the number - line, there is a closed circle at \(-1\) and an arrow extending to the right.
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lesson 3 continued proofreading practice read the letter. find the five…
**Proofreading Practice** 1. gratitood - gratitude 2. rootine - routine 3. vakume - vacuum 4. manool - manual 5. younite - unite **Spelling Application** 1. useful 2. pursue 3. cr…
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graph the image of quadrilateral fghi after the following glide reflect…
Plot the points \(F_2(-12,-7)\), \(G_2(-7,-3)\), \(H_2(-5,-9)\), \(I_2(-5,-13)\) and connect them to form the image of quadrilateral \(FGHI\) after the glide reflection.
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solve and graph the following inequality. provide an answer as a simpli…
The solution of the inequality is \(z < - 9\frac{1}{3}\). To graph it, draw an open circle at \(-9\frac{1}{3}\) (because the inequality is strict, i.e., \(z\) is not equal to \(-9…
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suppose that the point $(-3,-3)$ is the focus and the line $x = -5$ is …
\(d_1=\sqrt{(x + 3)^2+(y + 3)^2}\), \(d_2=|x + 5|\), \(\sqrt{(x + 3)^2+(y + 3)^2}=|x + 5|\), \(x=\frac{1}{4}(y + 3)^2-4\)
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graph the image of trapezoid stuv after the following glide reflection:…
Plot the points \(S''(14,-3)\), \(T''(10,-5)\), \(U''(10,-9)\), \(V''(14,-13)\) and connect them to form the image of the trapezoid after the glide reflection.
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no additional details were added for this assignment. what is the best …
Draw an arc centered at \(J\) or \(K\) with the same radius as the circle.
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solve and graph the following inequality. 10.5 + 15.1x ≤ 25.6 1) provid…
The solution of the inequality \(10.5 + 15.1x\leq25.6\) is \(x\leq1\). On the number - line, we draw a closed circle at \(x = 1\) (because the inequality includes equality, i.e., …
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what are the next steps to construct inscribed square abcd? arrange the…
1. Draw a line segment through the center O of the circle that intersects the circle at two points. Label these points A and C. 2. Using a compass and straightedge, construct a pe…
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graph the image of trapezoid uvwx after the following glide reflection:…
Plot the points \(U''(7,-12)\), \(V''(2,-10)\), \(W''(2,-6)\), \(X''(7,-4)\) and connect them to form the image of the trapezoid after the glide reflection.
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solve and graph the following inequality: -9 - x ≤ -5 provide an answer…
The solution of the inequality is $x\geq - 4$. On the number line, there is a closed circle at $-4$ and the line goes to the right.
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p $(4x + 15)^{circ}$ q r s $(10x - 3)^{circ}$ t a) $59^{circ}$ disappoi…
C. \(63^{\circ}\)
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3. tersley solved three different problems on her math test. circle the…
The first problem \(8^{3}\) is calculated correctly with the answer \(512\). The second problem \(13.5^{2}\) is calculated incorrectly (correct answer \(182.25\)). The third probl…
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solve and graph the following inequality: -19x - 7.1 ≥ 30.9 provide an …
The solution of the inequality is \(x\leq - 2\). On the number - line, there is a closed circle at \(-2\) and the line is shaded to the left of \(-2\).
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suppose you want to construct a circumscribed circle of a triangle usin…
1. Use the Polygon tool to draw a triangle. 2. Use the Perpendicular Bisector tool and click on two sides of the triangle. 3. Use the Intersect tool to mark the intersection of th…
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suppose you want to construct a circle inside a triangle using the geog…
1. Use the Polygon tool to draw a triangle. 2. Use the Angle Bisector tool to bisect two vertices of your choice. 3. Use the Intersect tool to get the intersection of the angle bi…
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use your understanding of exponents to answer the questions below. 6. w…
6. B. 63, C. \(3^{6}\) 7. C. \(7^{6}\)
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solve and graph the following inequality: -x + 2 < -2 provide an answer…
Inequality: \(x > 4\) For the graph: On a number line, place an open circle at \(4\) (because \(4\) is not included in the solution set, since the inequality is \(x>4\)) and draw …
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solve and graph the following inequality: -16 + 20x < 104 provide an an…
The inequality is \(x < 6.0\). On the number - line, there is an open circle at \(x = 6.0\) and the line is shaded to the left of \(6.0\) (since \(x\) is less than \(6.0\)).
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you are a high school student tasked with designing a scale model of a …
\(0.02\)
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a rectangular garden bed has a length of 5.67 meters and a width of 3.2…
18.14 square meters
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a nature reserve plans create a rectangular enclosure to protect a popu…
The length of the enclosure is 120 meters, and the total length of the fencing required is 360 meters.
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match the rotations of two - dimensional objects to the three - dimensi…
right triangle: rotated around one of its legs $\to$ cone; rectangle: rotated around one of its sides $\to$ cylinder; circle: rotated around its diameter $\to$ sphere
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16\\sqrt{5} 45^{\\circ} x = number 4 y = color © gina wilson (all thing…
\(x = 8\sqrt{10}\), \(y = 8\sqrt{10}\)
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if l is the midpoint of tj, what must be true? t is also the midpoint o…
\(TL = LJ\)
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solve and graph the following inequality: -3x - 6 > -33 provide an answ…
The inequality is \(x < 9\). On the number - line, we have an open circle at \(x = 9\) (since \(x eq9\)) and the line is shaded to the left of \(9\) towards negative infinity.
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the formula for the volume of a pyramid is $v=\frac{1}{3}bh$. where doe…
The second option: \(V = Bh\) is the formula for the volume of a prism, and 3 pyramids fit in a prism with the same base and height.
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a popular ice cream shop wants to introduce a new waffle cone to their …
\(141.3\)
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solve and graph the following inequality: ( 5x + 11.2 leq -28.8 ) provi…
The inequality is \(x\leq - 8.0\). To graph it, on a number - line, place a closed circle at \(-8.0\) (because the inequality includes equality, \(\leq\)) and shade to the left of…
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a beverage company wanted to design a new line of canned drinks where e…
\(5.6\)
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x = number x = y = color y =
\(x = 6\sqrt{3}\), \(y = 18\)
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proportional relationships below is an example of a proportional relati…
- **Verbal Description**: "A factory produces widgets. The number of widgets (w) produced is proportional to the number of hours (h) worked. Each hour, 3 widgets are produced." - …
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how does cavalieris principle help explain how to find the volume of a …
A cylinder has a circular base and you can think of it as circular disks piled on top of one another to form the height. This makes the volume equal to the area of the base times …