几何
三角形、圆、解析几何与证明题。
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12. determine the length of straight line ab, where point a has xy coor…
75
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the polygons below are similar. find the value of x. image is not to sc…
\( x = 48 \)
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suppose m is the midpoint of (overline{fg}). find the missing measure. …
\( 4.5 \)
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m is the midpoint of (overline{ln}). if (lm = 4x) and (mn = x + 10), wh…
# Explanation: ## Step1: Use midpoint property Since \( M \) is the midpoint of \( \overline{LN} \), \( LM = MN \). So we set up the equation \( 4x = x + 10 \). ## Step2: Solve fo…
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practica la estrategia a cognados circle all cognates in the following …
Doris Delgado
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m is the midpoint of (overline{ln}). if (lm = 4x) and (mn = x + 10), wh…
\(\frac{40}{3}\) (or \(13\frac{1}{3}\))
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m is the midpoint of (overline{ln}). if (lm = 4x) and (mn = x + 10), wh…
\(\frac{40}{3}\) (or \(13\frac{1}{3}\))
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draw the following triangle after a translation 1 unit to the left and …
The translated triangle has vertices at \((-4, 7)\), \((-5, 5)\), and \((2, -1)\). (To draw, plot these points and connect them.)
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l is the midpoint of \\(\\overline{km}\\). if \\(lm = 8x\\) and \\(km =…
\( 8 \)
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suppose m is the midpoint of \\(\\overline{fg}\\). find the missing mea…
58
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v is the midpoint of \\(\\overline{uw}\\). if \\(uv = x + 4\\) and \\(v…
\( 6 \)
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two points on the opposite sides of a lake, d and e, are 355.5 and 276.…
The distance \( DE \) is approximately \( \boldsymbol{375.6} \) feet.
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s is the midpoint of \\(\\overline{rt}\\). if \\(rs = x + 3\\) and \\(r…
\( 4 \)
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1. what is the difference between a participle and a gerund? 2. combine…
A participle (present: -ing, past: -ed/-en) functions as an adjective (modifies nouns), while a gerund (-ing verb form) functions as a noun (subject, object, etc.). ### Question 2
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q is the midpoint of \\(\\overline{pr}\\). if \\(pq = x + 2\\) and \\(p…
8
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1. what is the difference between a participle and a gerund? 2. combine…
A participle (present: -ing, past: -ed/-en) functions as an adjective (describes a noun), while a gerund (-ing form) functions as a noun (subject/object of a verb, etc.). ### Ques…
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reflect the figure across the x-axis. then decide if
To reflect the figure across the \(x\) - axis, use the rule \((x,y)\to(x, -y)\) for each vertex. If the original vertices are \( A(-8, -4) \), \( B(-4, -4) \), \( C(-3, -6) \), \(…
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u is the midpoint of (overline{tv}). if (tu = 5x) and (uv = x + 4), wha…
\( 5 \)
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not to scale which triangles are similar to △efg? none only △hij only △…
\( \triangle HIJ \) and \( \triangle KLM \) (corresponding option: \( \triangle HIJ \) and \( \triangle KLM \))
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mfm2p g) $\\frac{11}{12} - \\frac{3}{4}$ h) $\\frac{8}{10} - \\frac{2}{…
Let's solve each problem step by step: ### Part g: $\boldsymbol{\frac{11}{12} - \frac{3}{4}}$ ## Step 1: Find a common denominator The denominators are 12 and 4. The least common …
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reflect the figure across the x-axis. then decide if each statement abo…
- "If two sides are parallel in the original figure, then those sides may not be parallel in the final figure.": False - "The final side lengths are the same as the original side …
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the equation of a circle is given. $(x - 2)^2 + (y - 1)^2 = 9$ complete…
The circle has a center at \((2, 1)\) and a radius of \(3\) units.
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homework #1 show all calculations for each problem. 1 determine the are…
To solve the area problems, we'll analyze each figure one by one. Let's start with the first figure (a) which appears to be a parallelogram. ### Figure (a): Parallelogram A parall…
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congruent? ○ yes ○ no; similar? ○ yes ○ no
Congruent? $\boldsymbol{\circ}$ Yes $\quad \circ$ No Similar? $\boldsymbol{\circ}$ Yes $\quad \circ$ No (Mark the "Yes" circles for both Congruent and Similar.)
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congruent? ○ yes ○ no similar? ○ yes ○ no
Congruent? $\boldsymbol{\circ}$ Yes $\circ$ No Similar? $\boldsymbol{\circ}$ Yes $\circ$ No (Mark the "Yes" circles for both Congruent and Similar.)
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quadrilateral qrst on a coordinate plane. she uses the slopes of the se…
- First blank: equal (to show opposite sides are parallel, as parallel lines have equal slopes). - Second blank: negative reciprocals (to show adjacent sides are perpendicular, as…
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find the length of the unknown side of the right triangle. in each case…
A. 20
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a cone is sliced by a plane perpendicular to the base throug what shape…
D. triangle (assuming the options are labeled A - D with D being triangle, if the original options had different labels, adjust the label accordingly. Based on the given options, …
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find the length of the unknown side of the right triangle. in each case…
B. 15
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given ( m parallel n ), find the value of ( x ).
\( 71 \)
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isosceles trapezoid abcd is shown. what is the measure, in degrees, of …
\(67\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 119^\circ \), \( y = 61^\circ \)
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given ( l parallel m parallel n ), find the value of ( x ).
\( 117 \)
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congruent? ○ yes ○ no similar? ○ yes ○ no
Congruent? $\boldsymbol{\text{No}}$ Similar? $\boldsymbol{\text{Yes}}$
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congruent? ○ yes ○ no similar? ○ yes ○ no
No ### Similar?
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find the area of this trapezoid. be sure to include the correct unit in…
The area of the trapezoid is $\boldsymbol{48}$ square yards.
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each sequence of transformations shown is applied to triangle lmn to cr…
To solve this, we analyze each transformation sequence using the properties of congruence (preserves size and shape) and similarity (preserves shape, may change size): ### 1. Refl…
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find the value of x. (diagram: triangle with angles 44°, 80°, and exter…
\(124\)
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geometry concepts solving equations part 3 solve each equation. 1) 10 +…
\( x = -7 \) ### Problem 2: \( 14 - 3a = 3a + 2 - 4a \)
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in the figure below, m ∠ pqs = 37°, m ∠ sqr = (8x + 16)°, and m ∠ pqr =…
\( x = \frac{37}{4}=9.25 \) (If we assume the problem statement is correct as given. If there is a typo in the angle measure of \( \angle PQR \), the answer will change accordingl…
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select all the statements that are true for all parallelograms. all ang…
- Consecutive interior angles are supplementary. - The opposite sides of a parallelogram are congruent.
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19 use the angle addition postulate to find m∠cdy, if m∠cde = 122° and …
C. \( 36^\circ \)
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18 angles m and n are complementary. if the measure of angle n = 41°, t…
49
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if k is the midpoint of line segment jl, ( jk = 8x + 11 ) and ( kl = 14…
D. \( JK = 27 \)
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if lm = 12 and mn = 6, what is the measure of ln?
18
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a rectangle has a height of (3n^2) and a width of (4n^2 - 5n - 1). expr…
\( 12n^4 - 15n^3 - 3n^2 \)
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in the figure below, f is between e and g, and g is between f and h. if…
\( 2 \)
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15 if rt = 36, use the segment addition postulate to solve for x. diagr…
A. 4
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3.) polygon b is a scaled copy of polygon a. polygon a (12.5 cm, 5.5 cm…
6
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14 if uw = 6x - 35, use the segment addition postulate to find vw. diag…
C. \( VW = 48 \)
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39 turner, daniya the volume, in cubic inches, of a container is modele…
height
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in the figure below, r is between q and s, and s is between r and t. if…
\( 18 \)
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13 directions – name each geometric part with its correct name. 11) fig…
Line \( CD \) (or Line \( DC \)) ### 12)
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example 7 19. geometry the length of a leg of an isosceles right triang…
The relationship is linear (constant slope \( 1.8 \)). ### 20b: Graph
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12 if pq = 7 and pr = 28, what does qr measure? diagram of points p, q,…
21
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point h is between g and i. use the segment addition postulate to solve…
C. \( x = 3 \)
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pq is reflected across the line x = -3. the coordinates of the endpoint…
D. \((-8, 4)\)
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gonzalez, jasmine what are the measures, in degrees, of angle j and ang…
Angle j: 125, Angle k: 55
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what is the area of a right triangle 5 centimeters high with a base of …
A. 7.5 square cm
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twenty – five less than a number y 25 - y 25 / y 25y 25 + y y - 25 y / …
The correct option is: $\boldsymbol{y - 25}$ (the option with "y - 25" text, e.g., if the option is labeled with a circle, the correct one is the circle next to "y - 25"). But bas…
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use the angle addition postulate to find ( mangle cde ), if ( mangle cd…
D. \( 134^\circ \)
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think of each segment in the diagram as part of a line. complete the st…
neither ### Question 8
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question 28 of 40 which transformations would result in a geometric fig…
A. Translate \( \triangle DEF \) two units to the left. B. Rotate \( \triangle DEF 90^\circ \) clockwise about the point \( (1, 2) \). D. Reflect \( \triangle DEF \) across the li…
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use the distance formula to find the length of the segment on the graph…
\(\sqrt{116}\) (or \(2\sqrt{29}\) or approximately \(10.77\), but since the problem says to use the distance formula, the exact form is \(\sqrt{116}\) or simplified \(2\sqrt{29}\))
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if the coordinate of a is (0, -2) and the coordinate of b is (10, -6), …
\( (5, -4) \)
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use your notes on incenters to complete question b10-b17. directions: i…
To solve these problems, we use the properties of the incenter of a triangle. The incenter is the intersection of the angle bisectors, so it is equidistant from all sides, and it …
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using the figure below, state the transversal that forms each pair of a…
transversal = $r$, special name = alternate exterior angles ### 17) $\angle 2$ and $\angle 10$
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use your notes on incenters to directions: if g is the incenter of δa d…
To solve the problem related to the incenter \( G \) of \( \triangle ABC \), we analyze each part: ### 10. \( m\angle A \) The incenter is the intersection of angle bisectors. For…
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classify each figure as a line, ray, or line segment. then, show how to…
Type: line; How to write it: \(\overleftrightarrow{HG}\) (or \(\overleftrightarrow{GH}\)) ### Part (b)
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angles m and n are supplementary. if the measure of angle n = 41°, then…
\(139\)
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lines in the same plane that never intersect a line that intersects two…
- Líneas en el mismo plano que nunca intersectan: Líneas paralelas - Una línea que intersecta dos o más líneas en el mismo plano: Transversal - Dos opuestos, congruentes ángulos f…
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bt bisects ∠abc. what is the value of x? diagram: point b with ray ba, …
\( x = 10 \)
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use the distance formula below to answer the que distance formula ( d =…
5
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classify each figure as a line, ray, or line segment. then, show how to…
Type: line; How to write it: $\overleftrightarrow{AB}$ ### Part (b)
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if m∠pqr = (3x + 5)°, m∠rqs = (2x - 10)°, and m∠pqs = 100°, find x.
\( x = 21 \)
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what is the missing angle if its supplementary to the measure shown? (i…
51
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88 degrees; options: obtuse, right, straight, acute
acute (along with its option identifier if applicable, but since the options are labeled with their terms, the correct one is the "acute" option)
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55 degrees acute obtuse right strieght
acute
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find m∠dew if m∠wef = 27° and m∠def = 59°.
\( 32^\circ \)
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triangle abc has the two given side lengths. • ab = 11 units • ac = 6 u…
The inequality that must be true is \(6 + 11>BC\) (the third option). Also, let's re - check the first option. Wait, if we consider the triangle inequality \(AC+BC>AB\) (6 + BC>11…
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if ( m angle efh = (5x + 1)^circ ), ( m angle hfg = 62^circ ), and ( m …
$x = 4$
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find the distance between (7,9) and (1,1).
10
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what type of angle is ∠bad right acute straight obtuse
right (el ángulo ∠BAD es un ángulo recto)
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if line n bisects ce, find cd. diagram: points c, d, e with segment ce,…
A. \( CD = 15 \)
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a statement is given. \if a parallelogram is a square, then the paralle…
The contrapositive is true because a parallelogram that is not a rhombus is not a square.
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a pyramid and a cone are both 12 centimeters tall and have the same vol…
C. The horizontal cross-sections of the prisms at the same height must have the same area.
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one which is more than 90° but less than 180° a shape, formed by two li…
s: - "one which is more than \( 90^\circ \) but less than \( 180^\circ \)": Obtuse Angle - "A shape, formed by two lines or rays diverging from a common point (the vertex)": Angle…
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a shape, formed by two lines or rays diverging from a common point (the…
- First box: Angle (matches the definition of an angle: two rays/lines from a common vertex). - Second box: Vertex (matches "a corner or point where lines meet", the vertex of an …
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6.1.2 exam: semester... which graph represents the reflection of δabc o…
A. The graph where the triangle \( \triangle A'B'C' \) has vertices \( A'(-1,1) \), \( B'(-4,1) \), and \( C'(-3,3) \) (reflection over \( x = 0 \) flips the \( x \)-coordinates o…
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what is an angle bisector? a ray that divides an angle into two congrue…
a ray that divides an angle into two congruent angles
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find b 100 180 10 80
\(80\) (corresponding to the option with 80)
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enter possible values to show an equation of a circle where the center …
\((x - (-2))^2+(y - 3)^2 = 36\) (or with \(h=-2\), \(k = 3\), \(r^2 = 36\) filled in the boxes as \(-2\), \(3\), \(36\) respectively)
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which angles are vertical? diagram of a square with angles numbered 1-8…
8 and 4
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*1-37. write an expression for the area of each rectangle below. a. rec…
\( 33 \, \text{cm}^2 \) ### 1-37b
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m∠jea = 50° and m∠jel = 130° find m∠ael. find the missing angle.
\( 80^\circ \)
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a store sells rectangular picture frames. • frame a has a width of 8 in…
15
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______ constancy refers to the ability to understand that an object ret…
B. Shape
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give the location of seattle as an ordered pair (x, y).
\((x,y)=(-10,10)\)
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turner, daniya the area of trapezoid abcd is 96 square units. the coord…
\( 42.9 \)
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a cylinder with a volume of 640 cubic centimeters is dilated by a scale…
5120