Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the shortest side of a triangle similar to \\( \\triangle xyz \\) is 20…
The other side lengths are \(24\) units and \(26\) units.
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how can you find ( mangle nvt )? ( 20^{circ}+20^{circ}=40^{circ} ) ( 90…
\(90^{\circ}+ 20^{\circ}=110^{\circ}\) (the corresponding option is the one with \(90^{\circ}+20^{\circ}=110^{\circ}\))
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which name can be used for the 20° angle? ∠evt how is ∠evt related to ∠…
\( \angle EVT \) ### Second Sub - Question (How is \( \angle EVT \) related to \( \angle NVE \)?)
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mathilde a peint une murale rectangulaire sur un mur du centre communau…
### Partie a) : Aire de la surface jaune Pour trouver l'aire de la surface jaune, nous pouvons utiliser la propriété des figures symétriques ou la soustraction des aires. Cependan…
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which name can be used for the 20° angle? ∠etv ∠evn ∠evt ∠nvt
$\angle EVT$
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a weathervane is pointing north. after the wind changes direction, the …
\(\angle V\), \(\angle EVN\)
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a weathervane is pointing north. after the wind changes direction, the …
$90$
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déterm ine laire de la pelouse du terrain damina. à laide du clavier, é…
# Explanation: ## Step 1: Calculer l'aire du terrain entier (forme complexe) Le terrain entier peut être divisé en un rectangle et un trapèze, ou on peut le calculer en utilisant …
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show that the triangles are similar and write a similarity statement. s…
\(\angle X\cong\angle D\), \(\frac{XY}{JD}=\frac{XZ}{GD}\), \(\triangle XYZ\sim\triangle DJG\)
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la grande base et la petite base dun trapèze mesurent respectivement 10…
\( 0.42 \)
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quelle expression algébrique correspond à laire de chacun des polygones…
\( 12ab + 28b \) (si c'est un octogone avec 8 côtés, sinon, si c'est un autre polygone, mais selon la logique des expressions algébriques, si on suppose que le polygone est divisé…
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verify that \\( \\triangle a b c \\sim \\triangle d e f \\). find the s…
\( \frac{3}{2} \)
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show that the triangles are similar and write a similarity statement. s…
\(\angle ACB\cong\angle ECD\), \(\frac{CE}{BC}=\frac{DC}{AC}\), \(\triangle ABC\sim\triangle DEC\)
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in this figure, ( overline{ab} parallel overline{cd} ) and ( mangle4 = …
\( 95^\circ \)
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given ( aparallel b ), and ( c ) is not parallel to ( a ) or ( b ), whi…
\(m\angle1 = m\angle8\), \(m\angle3 = m\angle7\) (the correct options are the ones with \(m\angle1 = m\angle8\) and \(m\angle3 = m\angle7\))
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in quadrilateral abcd, \\( \\overline { a b } \\parallel \\overline { c…
\( 35 \)
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which statement regarding the diagram is true? ○ ( mangle mkl + mangle …
\(m\angle KML + m\angle MLK = m\angle JKM\) (the second option)
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consider triangle wxy. which statement about the angles is true? angle …
Angle W is greater than angle Y.
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the lengths of the sides of triangle xyz are written in terms of the va…
\( m\angle Y < m\angle Z < m\angle X \) (the second option: \( \boldsymbol{m\angle Y < m\angle Z < m\angle X} \))
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in triangle trs, vz = 6 inches. what is rz? 3 inches 6 inches 12 inches…
12 inches
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triangle knm is shown. what is true about the sides of knm? kn = nm kn …
A. \( KN = NM \)
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triangle xyz is isosceles. angle y measures a°. what expression represe…
\(180 - 2a\) (corresponding to the option "180 - 2a")
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if triangle rst is an acute triangle, then ( mangle s ) must be less th…
A. less than \(90^\circ\)
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point h is the circumcenter of \\( \\triangle jkl \\). which must be tr…
\( \overline{JH} \cong \overline{LH} \) (the third option, but since the options are in the format with circles, the correct one is the option with \( \overline{JH} \cong \overlin…
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if isosceles triangle abc has a 130° angle at vertex b, which statement…
\(m\angle A + m\angle B = 155^\circ\) (the option with this statement)
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in the diagram, which must be true for point d to be an orthocenter? be…
B. $\overline{BE} \perp \overline{AC}$, $\overline{AG} \perp \overline{BC}$, and $\overline{CF} \perp \overline{AB}$
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what is the value of x? ○ x = 2.25 ○ x = 11.25 ○ x = 13 ○ x = 22 (2x + …
\( x = 11.25 \) (Option: \( x = 11.25 \))
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which statements regarding the diagram of \\( \\triangle ebc \\) are tr…
- ∠DEC is an exterior angle. - ∠ABE and ∠EBC are supplementary angles. - ∠BEC is a remote interior angle to exterior ∠BCF.
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point h is the circumcenter of triangle def. which must be true? select…
A. Point H is the center of the circle that passes through points D, E, and F. C. \(\overline{HE} \cong \overline{HD}\)
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in which figure is point g a centroid?
The figure with vertices D, E, F (the second triangle) has point G as the centroid.
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which angle is an adjacent interior angle to ∠jkm? ○ ∠jkl ○ ∠mkl ○ ∠klm…
\( \boldsymbol{\angle MKL} \) (corresponding to the option " \( \angle MKL \)")
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based on the diagram, which expresses all possible lengths of segment a…
\(27 < AB < 81\) (corresponding to the option "27 < AB < 81")
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what is the length of segment ns? 1 unit 2 units 4 units 6 units
4 units
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point z is the incenter of △srt. what is m∠ztb? 24° 31° 35° 62°
\( 31^\circ \) (corresponding to the option: \( 31^\circ \))
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what is the length of xb? 4.2 cm 4.6 cm 4.8 cm 5.3 cm
5.3 cm (the option: 5.3 cm)
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chang knows one side of a triangle is 13 cm. which set of two sides is …
D. 8 cm and 9 cm
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in the triangles, \\( \\overline { b c } \\cong \\overline { d e } \\) …
longer than
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triangle jkl is isosceles. the measure of angle j is 72° and the measur…
Angle L is a base angle and measures \(72^\circ\). (Corresponding to the option: Angle L is a base angle and measures \(72^\circ\).)
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a regular pentagon is created using the bases of five congruent isoscel…
\(54^\circ\) (corresponding to the option with \(54^\circ\))
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nigel and mia are searching for a treasure chest under water. the strai…
B. Mia is closer because her distance to the chest is opposite the smaller angle.
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what is ( mangle abc )? ( mangle abc = 15^{circ} ) ( mangle abc = 45^{c…
\(m\angle ABC = 60^\circ\)
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which diagram shows possible angle measures of a triangle? 115° 35° 25°…
The diagram with angles \(115^\circ\), \(32^\circ\), \(33^\circ\) (the second option)
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equilateral triangle abc has a perimeter of 96 millimeters. a perpendic…
16 mm (corresponding to the option "16 mm")
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which new angle is created by extending one side of a triangle? a remot…
C. an exterior angle
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in the triangles, hg = mp and gk = pn. which statement about the sides …
\( m\angle G > m\angle P \)
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triangle abc has the angle measures shown. which statement is true abou…
\(m\angle A = 20^\circ\) (the first option: \(m\angle A = 20^\circ\))
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consider the triangle shown. which shows the sides in order from longes…
\( \overline{RQ},\overline{PQ},\overline{RP} \) (corresponding to the option: \( \boldsymbol{\overline{RQ},\overline{PQ},\overline{RP}} \))
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which type of triangle will always have a perpendicular bisector that i…
D. equilateral
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in triangle abc, the segments drawn from the vertices intersect at poin…
Point G can be the centroid because 12:6 equals 2:1. (The third option: "Point G can be the centroid because 12:6 equals 2:1.")
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jace is making a water play table from a triangular table top. he sketc…
He should bisect each of the angles at the vertices of the triangular table top.
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point z is the circumcenter of δtuv. what is m∠zub? 23.7° 32.8° 33.5° 5…
\( 32.8^\circ \) (corresponding to the option B. \( 32.8^\circ \))
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what is the value of h? $h = 1.5$ $h = 9$ $h = 10$ $h = 13.5$ $(3h + 18…
\(h = 9\) (corresponding to the option: \(h = 9\))
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point z is equidistant from the vertices of \\( \\triangle tuv \\). whi…
\( \angle BTZ \cong \angle BUZ \) (the third option)
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a triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. wh…
A. \( x - 1 < n < 3x + 5 \)
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what is ( mangle abc )? ( mangle abc = 60^circ ) ( mangle abc = 67^circ…
\(m\angle ABC = 127^\circ\) (the option: \(m\angle ABC = 127^\circ\))
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in triangle qrs, qr = 8 and rs = 5. which expresses all possible length…
\(3 < QS < 13\) (the option: \(3 < QS < 13\))
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in the diagram, z is the circumcenter of triangle tuv. what is the leng…
10 units (the option with "10 units")
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point a is the incenter of \\( \\triangle def \\). what is the length o…
9 units
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point p is the incenter of δrst. which must be true? overline{cp}congov…
\(\boldsymbol{\angle BPS \cong \angle APT}\) (the fourth option, i.e., the option with \(\angle BPS \cong \angle APT\))
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point y is the circumcenter of \\( \\triangle def \\). find fy. 5 11 17…
22
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which is the only center point that lies on the edge of a triangle? the…
C. the circumcenter of a right triangle
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what value of n would make point a the circumcenter? 2 3 4 5
3
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point a is the point of concurrency of the angle bisectors of \\( \\tri…
\( \text{ZA} = 3 \, \text{cm} \) (corresponding to the option "ZA = 3cm")
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20. given the following right triangle, find the length of the missing …
A. 21.4
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point z is the incenter of triangle rst. what is the value of x? x = 2 …
\( x = 5 \) (corresponding to the option \( x = 5 \))
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point a is the incenter of triangle def. which must be true? select thr…
B. Point A is the center of the circle that passes through points X, Y, and Z. C. \(\overline{ZA}\cong\overline{YA}\) E. \(\overline{AX}\cong\overline{AY}\)
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h is the circumcenter of (\triangle ace). what is the length of (overli…
48 units
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finding unknown measures point x is the incenter of \\( \\triangle a b …
\( GX = 13 \) \( m\angle ABX = 22^\circ \)
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g is the incenter, or point of concurrency, of the angle bisectors of \…
\( n = 7 \) (corresponding to the option "7")
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point p is the center of the circle that is circumscribed around the tr…
the point of concurrency of the perpendicular bisectors
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identifying the incenter of a triangle which triangle shows the incente…
The second triangle (from the left) with point A at the intersection of angle - bisecting lines (marked by arc - like angle markings)
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determining where the points of concurrency lie where do the points of …
To solve this, we recall properties of points of concurrency in triangles: ### 1. Circumcenter of an obtuse triangle The circumcenter is the intersection of perpendicular bisector…
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point s is the point of concurrency of the angle bisectors of \\( \\tri…
\( SU = 5 \) (Option: SU = 5)
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h is the circumcenter, or point of concurrency, of the perpendicular bi…
- $\boldsymbol{\angle HDC \cong \angle HDE}$ (True, both right angles) - $\boldsymbol{\overline{AB} \cong \overline{BC}}$ (True, $HB$ bisects $AC$) - $\boldsymbol{\overline{HC} \c…
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g is the incenter, or point of concurrency, of the angle bisectors of \…
- $\boldsymbol{\overline{DG} \cong \overline{FG}}$ (True, as incenter is equidistant from all sides, so perpendiculars to sides are congruent). - $\boldsymbol{\overline{GE} \text{…
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29. consider the point shown below, which is located on the terminal ra…
### Part (a): Radius Calculation # Explanation: ## Step1: Identify coordinates and radius formula The point on the terminal ray has \( x = 3.8 \, \text{cm} \) (red) and \( y = 2.3…
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present tense of -ar verbs (p. 84) • an infinitive is the most basic fo…
## Part A 1. hablas (circle -as) 2. nado (circle -o) 3. canta (circle -a) 4. tocamos (circle -amos) 5. trabajas (circle -as) 6. patinamos (circle -amos) 7. dibujan (circle -an) 8.…
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find the height of the triangle pictured above, if the area is 10 km². …
\( 4.0 \)
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10) in the figure below, l is parallel to k. find the values of z and y…
\( z = 73 \), \( y = 42.5 \)
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compute the perimeter and area of the triangle shown. include units in …
Perimeter $P = 48$ cm Area $A = 84$ $cm^2$
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compute the perimeter and area of the triangle shown. include units in …
Perimeter \(P = 139\) miles, Area \(A=960\) square miles
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compute the perimeter and area of the triangle shown. include units in …
Perimeter $P = 131$ miles, Area $A = 780$ square miles
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what is the perimeter of the triangle? 48 square yards what is the area…
s: - Perimeter: \( 37 \) yards (Wait, earlier mistake: 6.7 +14.3 +16: 6.7+14.3=21, 21+16=37. So perimeter is 37 yards. The initial wrong answer was 48, which was for area. So corr…
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what is the perimeter of the triangle? select an answer what is the are…
The perimeter of the triangle is \( 37.0 \) yards (or 37 yards as it is a whole number). ### Area of the Triangle
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9) construction a construction square forms a right angle. if the edges…
\(m\angle1 = 35^{\circ}\), \(m\angle2 = 55^{\circ}\), \(m\angle3 = 55^{\circ}\)
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a rectangle has an area of ( k^{2}+14k + 40 ) square inches. if the val…
The width of the rectangle is \(k + 10\) inches.
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student name college geometry review end of mod 3 sumina 8) stairs juli…
\(133\)
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college geometry review 8) stairs julie is building this staircase with…
\(133\)
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8. stairs jake is building his staircase with a rail. what measure of ∠…
\(45^{\circ}\)
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7) give a pair of alternate interior angles, a pair of corresponding an…
- Alternate interior angles: \(\angle3\) and \(\angle6\) (or \(\angle4\) and \(\angle5\)) - Corresponding angles: \(\angle2\) and \(\angle6\) (or \(\angle1\) and \(\angle5\), \(\a…
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3) fill in the blanks using the available answer choices. select whethe…
3. perpendicular 4. parallel 5. \(y=-10\) 6. \(64\)
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1) fill in the blanks using the available answer choices.escalators an …
Blank 1: parallel; Blank 2: transversal; Measure of \(\angle1\): \(64\)
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these figures are congruent. what is uv? meters
\(46\)
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△cbd≅△tuv. what is m∠d?
\(78\)
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△hij≅△opq. what is m∠j?
\(38\)
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given: c is the midpoint of ad ab ≅ db prove: △abc ≅ △dbc statements re…
s: 25. The reason for \(\triangle ABC \cong \triangle DBC\) is SAS (as per the given dropdown and the proof steps: two sides \(AC \cong DC\), \(BC \cong BC\) and the included angl…
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given: c is the mid - point of \\( \\overline{ad} \\) \\( \\overline{ab…
SSS ### Question 26
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determine a series of transformations that would map figure h onto figu…
One possible sequence: Rotate Figure H 90° clockwise about their common vertex, then translate the rotated figure to match Figure J's position. (The exact translation depends on c…
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24. which set of conditions would make (\triangle abccong\triangle def)…
The correct option is the third one: \(AB = DE\), \(BC = EF\), and \(CA = FD\) (the option with the circle next to \(AB = DE\), \(BC = EF\), and \(CA = FD\))
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23. which postulate can be used to prove that triangles hig and jlk are…
B. SAS postulate (assuming the option labels are A: "The Information does NOT determine Congruence", B: "SAS postulate", C: "AAS postulate", D: "SSS postulate")