Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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given rectangle i j k l below, j m = 28. if k m = x + 4, solve for x.
\( x = 16 \)
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a triangle has side lengths measuring 3x cm, 7x cm, and h cm. which exp…
\(4x < h < 10x\) (the first option)
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iliana claims that she can construct a triangle from a 12 - inch rod, a…
C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
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if triangle def has a 90° angle at vertex e, which statements are true?…
B. The angle at vertex D is acute, D. Triangle DEF is a right triangle
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which are the possible side lengths of a triangle? 3 cm, 5 cm, 9 cm 4 c…
B. 4 cm, 8 cm, 10 cm
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for a craft project, four students each chose three pieces of wire from…
Sonji (the option corresponding to Sonji's wires, which can form a triangle)
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which inequality can be used to explain why these three segments cannot…
B. \(AC + CB < AB\)
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find the value of ( x ), ( y ), and ( z ), in the rhombus below. answer…
\( x = -14 \), \( y = -1 \), \( z = 0 \)
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find the value of x, y, and z in the rhombus below. answer attempt 1 ou…
\(x = 82\), \(y = 167\), \(z = 11\)
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the value of x must be greater than 0 1 3 7
3
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the points ( l(2,2) ), ( m(-3,3) ), and ( n(-2,8) ) form a triangle. fi…
slope of \(\overline{LM}=-\frac{1}{5}\), slope of \(\overline{MN}=5\), slope of \(\overline{LN}=-\frac{3}{2}\), length of \(\overline{LM}=\sqrt{26}\), length of \(\overline{MN}=\s…
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in triangle xyz, ( mangle z>mangle x + mangle y ). which must be true a…
\(m\angle X + m\angle Y < 90^\circ\) (the last option)
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triangle abc is an obtuse triangle with the obtuse angle at vertex b. a…
less than \(90^\circ\)
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choose all answers that describe the polygon ghij if gh = 19, hi = 19, …
Quadrilateral, Parallelogram, Rectangle, Rhombus, Square
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question choose all answers that describe the polygon vwxy if vw = 12, …
Quadrilateral, Parallelogram, Rhombus, Square, Rectangle
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choose all answers that describe the quadrilateral qrst if qr = 42, rs …
Quadrilateral
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the points ( n(0,-3), o(3,4) ), and ( p(-2,1) ) form a triangle. find t…
slope of \(\overline{NO}=\frac{7}{3}\), slope of \(\overline{OP}=\frac{3}{5}\), slope of \(\overline{NP}=-2\), length of \(\overline{NO}=\sqrt{58}\), length of \(\overline{OP}=\sq…
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choose all answers that describe the polygon tuvw if tu || vw and uv ||…
A. Parallelogram B. Quadrilateral
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choose all answers that describe the polygon below. answer attempt 1 ou…
- Parallelogram - Quadrilateral - Rectangle - Trapezoid
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choose all answers that describe the polygon nopq if no = 10, op = 18, …
A. Parallelogram, B. Quadrilateral
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choose all answers that describe the polygon stuv if ( stcong uv ), ( t…
Quadrilateral, Parallelogram, Rectangle
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choose all answers that describe the polygon below. answer attempt 1 ou…
A. Quadrilateral, B. Parallelogram, C. Rectangle, D. Rhombus, E. Square
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if ( jk = 25 ), ( jl = 21 ), ( kl = 14 ), and ( ml = 20 ), calculate ( …
\(\frac{500}{21}\)
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choose all answers that describe the polygon pqrs if pq = 13, qr = 13, …
Quadrilateral, Parallelogram, Rectangle, Rhombus, Square
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if ( jk = 25 ), ( jl = 21 ), ( kl = 14 ), and ( ml = 20 ), calculate ( …
\(NL=\frac{40}{3}\)
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if mq = 4, np = 18, and lq = 12, calculate the length of lp. assume △lm…
\(54\)
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calculate yz if wy = 23.8, xy = 22, and vz = 43 yz =
\(22.7\)
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if mq = 16, np = 40, and lq = 20, calculate the length of lp. assume △l…
\(LP = 50\)
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ruben has two congruent wooden dowels. he cuts one dowel in two in orde…
To form a triangle, the sum of any two side - lengths must be greater than the third side (Triangle Inequality Theorem). Let the length of each congruent dowel be \( l \). When on…
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if two complementary angles have the ratio of 2 to 6, find the value of…
\(22.5^{\circ}\), \(67.5^{\circ}\)
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complete the proportion: \\( \\frac { r t } { r s } = \\frac { v t } { …
\(VU\)
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if the ratio of two supplementary angles is 7 to 43, calculate the meas…
154.8
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in triangle rst, ( mangle r>mangle s + mangle t ). which must be true o…
- \(m\angle R > 90^\circ\) - \(m\angle S + m\angle T < 90^\circ\) - \(m\angle R > m\angle T\) - \(m\angle R > m\angle S\)
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applying the triangle inequality theorem in triangle abc, ab measures 2…
For the third side \( s \): \( 10 < s < 60 \) For the perimeter \( p \): \( 70 < p < 120 \) (So the first inequality blanks are \( 10 \) and \( 60 \); the second inequality blanks…
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determine the minimum rotation (in degrees) which will carry the follow…
\(360\)
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analyzing triangle side lengths gemma wants to draw a triangle with sid…
This triangle does not exist because the sum of 4 and 12 is less than 17.
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the following figure has potential lines of symmetry every degrees.
\(120\)
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determine the minimum rotation (in degrees) which will carry the follow…
\(180\)
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triangle abc is a dilation of triangle abc. the scale factor is \\frac{…
\(\frac{22}{3}\) inches (the fourth option)
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a triangle has side lengths measuring 20 cm, 5 cm, and n cm. which desc…
\(15 < n < 25\) (the option with this inequality)
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if a polygon has an area of 7 cm² and is dilated by a factor of 3, what…
\(63\)
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if a polyhedron has a volume of 8 cm³ and is dilated by a factor of 1/4…
\(0.125\space cm^{3}\)
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points a, b, and c, form a triangle. the distance between point a and p…
s: - How far would Pete walk if he went from A to B to C? \( \boldsymbol{40} \) yards - The direct distance from A to C is more than \( \boldsymbol{10} \) yards. - The inequality …
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joni has a circular garden with a diameter of 14.5 feet. if she uses 2 …
\(13.1\)
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charla has six segments with which to make two triangles. the segments …
C. 2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.
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triangle def contains two congruent acute angles. the sum of the measur…
She is correct. The remaining angle of the triangle measures less than 90 degrees.
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what is the area of a circle with a diameter of 18 mm? use 3.14 for pl.…
254.34
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determining possible side lengths mr. anderson is building a triangular…
\(7\)
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joni has a circular garden with a diameter of 14.5 feet. if she uses 2 …
13.1
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what is the circumference of a circle with a diameter of 21 cm? use 3.1…
65.94
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observe the figure below. observe. review the figure to the left. what …
\(\frac{5}{6}\) (the second option)
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the perimeter of a rectangle is 35.5 cm, and the width is 12 cm. what i…
\(5.75\)
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find the length of the three missing sides in the rhombus below. answer…
\(x = 86\), \(y = 86\), \(z = 86\)
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question find the measure of the three missing angles in the parallelog…
\(x = 67\), \(y = 113\), \(z = 67\)
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a dog is leashed to a point in the center of a large yard, so the area …
1256
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find the measure of the three missing angles in the parallelogram below…
\(x = 56\), \(y = 124\), \(z = 56\)
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find the measure of the three missing angles in the rhombus below. answ…
\(x = 115\), \(y = 115\), \(z = 65\)
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find the measure of the three missing angles in the parallelogram below…
# Explanation: ## Step1: Recall properties of parallelograms In a parallelogram, consecutive angles are supplementary (sum to \(180^\circ\)) and opposite angles are equal. ## Step…
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5) the question has two parts part a: which ratios are equivalent to th…
To solve this, we analyze the slope of the line through \( A \), \( E \), and \( C \). The slope formula is \( \text{slope} = \frac{\text{change in } y}{\text{change in } x} \). #…
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10) a diagram of similar triangles is shown below. 43 x 32 16 what is t…
86
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9) a local lighthouse is 132.75 feet tall. during a visit to the lighth…
55.3125
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7) similar triangles are shown in the diagram ( ae = 12 ), ( ec = 26 ),…
13
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6) the triangles are shown what are the possible values of g and h? a) …
d) \( g = 9, h = 18 \)
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the measure of ∠5 is 110°. find the remaining angle measures. look for …
\( m\angle7 = \boldsymbol{110^\circ} \), \( m\angle8 = \boldsymbol{70^\circ} \)
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right triangle trigonometry: advanced google classroom microsoft teams …
\(6\)
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the floor inside a bathtub slopes down at a 1.2° angle toward the drain…
B. \(\frac{12\cdot5}{\cos(1.2^{\circ})}\)
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what is the value of $x$ in the figure shown? show calculator
\(60\)
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right triangle trigonometry: advanced google classroom microsoft teams …
\(4.8\)
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Right triangle (c) Not a right triangle (d) Not a right triangle
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which of the following is an open statement? ∠abc is obtuse. an angle w…
\(\boldsymbol{\angle ABC}\) is obtuse. ### Second Question (Converse of the Statement)
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a company makes cones out of solid foam. each cone has a height of 9 in…
\(7110\)
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write the coordinates of the vertices after a reflection over the line …
\( A'(7, - 8) \), \( B'(-1, - 7) \), \( C'(7, - 6) \)
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in the given figure, if ( mangle abd = mangle dbc ) then ( mangle abc =…
2(m∠ABD)
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write the coordinates of the vertices after a reflection over the y - a…
Reflected coordinates: - \( B(6, 9) \) - \( C(1, 10) \) - \( D(-5, 9) \) - \( E(1, 7) \) (Note: Depending on the exact grid, minor adjustments may be needed, but this follows the …
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worksheet for scene 4 of a christmas carol part 1: true or false read t…
True ### 2. Scrooge and Present “fly” past in the storm. The Ghost of Christmas Present does not “fly” with Scrooge in a storm; the Ghost of Christmas Past is associated with scen…
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if ( mangle a + mangle b = 88^{circ} ) and ( mangle a + mangle b + mang…
A. Substitution Property of Equality
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a represent the list of angle measures (in radians) for angles co - ter…
\(-\frac{\pi}{2}+2n\pi\) (or \(-\frac{3\pi}{6}+2n\pi\)) ### Part b
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a an angle measuring α radians is co - terminal with an angle measuring…
\(-\frac{3\pi}{2}\) ### Part b
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what is one possible sequence of transformations that maps △abc onto △d…
1. dilation by a scale factor of \(\frac{1}{2}\) with the origin as the center of dilation 2. translation 3 units right 3. translation 4 units up
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solve the triangle. a = 7.498 in c = 6.930 in b = 76.57° what is the le…
The length of side \( b \) is \( 8.963 \) in. The measure of angle \( A \) is \( 54.59^{\circ} \). The measure of angle \( C \) is \( 48.84^{\circ} \).
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4) which figure shows a transversal that intersects 2 lines?
The second figure.
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what is the value of x? x = __
\(75\)
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perpendicular bisector of an isosceles triangle find the value of x. pe…
\(x = 12\)
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solve the triangle shown to the right. round the lengths of sides to th…
\(c\approx9.1\), \(A\approx50^{\circ}\), \(B\approx32^{\circ}\)
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17. two angles of an isosceles triangle measure 40 degrees. what is the…
100 degrees (the option with "100 degrees")
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15. true or false: all isosceles triangles are also equilateral triangl…
A. False ### Question 16
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margie wants to reduce her spending first she makes a list of all of th…
D. Divide the list into two columns for Needs and Wants and put each item in the appropriate column.
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13. an equilateral triangle is also an equiangular triangle. true false…
True ### Question 14
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12. if one angle of an isosceles triangle measures 40 degrees, what are…
70 degrees each
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5. 6. which of the following triangles could lie on the line graphed in…
D.
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11. how many sides of equal length does an equilateral triangle have? 2…
B. 3
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10. how many congruent angles does an isosceles triangle have? none of …
D. 2 (assuming the last option with "2" is labeled D; if the original labels were different, adjust the identifier, but the text is "2")
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9. what is the angle degree of each angle in an equilateral triangle? 9…
B. 60 degrees (assuming the option with 60 degrees is labeled as B, but based on the options, the correct one is "60 degrees" among the choices, so the answer is the option with "…
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8. which of the following does not hold true for an equilateral triangl…
D. Only two sides are equal length (assuming the options are labeled A to D with A: All sides are equal length, B: All angles measure 60 degrees, C: All interior angles add up to …
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7. in an isosceles triangle, how many sides have the same length? 3 1 n…
D. 2 (assuming the options are labeled as A. 3, B. 1, C. None of them, D. 2)
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6. if the vertex angle of an isosceles triangle is 44° what are the two…
\(68^\circ\) (corresponding to the option with \(68^\circ\))
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isosceles and equilateral triangles all sides are equal and all angles …
Cuts into two equal parts
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4. equilateral means all sides are equal measure all angles are equal m…
A. All sides are equal measure
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solve each triangle abc that exists. b = 35°00 a = 38.4 b = 30.8 select…
B. There are two possible solutions for the triangle. The measurements for the solution with the longer side \(c\) are as follows. \(A_{1}=46^{\circ}00'\) (since \(45.7^{\circ}\ap…
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what is m∠1? m∠1 = □°
\(82\)