Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the triangles are congruent by the sss congruence theorem. which rigid …
reflection, then translation
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name the centroid of the triangle shown to the right the centroid is th…
\(O\)
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3. $m\\angle mjk = ______$ $m\\angle mjl = ______$ $m\\angle jlk = ____…
\(m\angle MJK = 90^{\circ}\) \(m\angle MJL = 63^{\circ}\) \(m\angle JLK = 27^{\circ}\) \(m\angle KML = 63^{\circ}\) \(m\angle MNL = 90^{\circ}\)
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the triangles are congruent by the sss congruence theorem. which transf…
translation, then reflection
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points s and t are midpoints of the sides of triangle fgh. what is gf? …
\(16\mathrm{cm}\) (the fourth option)
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in \\( \\triangle def \\), \\( c \\) is the centroid if \\( dm = 27 \\)…
\(DC = 18\)
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which value of x would make △suv ≅ △tuw by hl? 2 3 4 5
\(5\) (the fourth option)
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in the diagram below, ( mangle a = 55^{circ} ) and ( mangle e = 35^{cir…
The triangles are similar because all pairs of corresponding angles are congruent.
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in △def, c is the centroid. if cm = 27. find dc and cm dc = □ units
\(DC = 54\) units
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3 solve for x in the given figures a) given \\( \\triangle a b d \\sim …
\(x = 9\)
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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 fourth option)
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triangles abc and dbc have the following characteristics: bc is a side …
HL
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in \\( \\triangle def \\), c is the centroid if \\( cm = 5 \\), find dc…
\(DC = 10\) units, \(DM=15\) units
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which inequality can be used to explain why these three segments cannot…
AC + CB < AB
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using the side - splitter theorem, which segment length would complete …
C. \(GJ\)
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part ii: using the foil method, multiply the terms in the binomials bel…
$$3x^{4}+4x^{3}+3x^{2}+14x$$
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which congruence theorems can be used to prove \\( \\triangle efg \\con…
SAS
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rectangle abcd was dilated to create rectangle abcd. what is ab? 6 unit…
6 units
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for \\( \\triangle a b c \\), is \\( \\overline { b q } \\) a median, a…
neither
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triangle abc has the angle measures shown. which statement is true abou…
\(m\angle B = 60^{\circ}\) (the second option)
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for \\( \\triangle ghi \\) to the right, is the red dashed segment an a…
D. Altitude, because it extends from a vertex of \( \triangle GHI\) and is perpendicular to the opposite side.
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what additional information could be used to prove (\triangle abccong\t…
\(m\angle Q = 56^{\circ}\) and \(\overline{CB}\cong\overline{RQ}\), \(m\angle R = 60^{\circ}\) and \(\overline{AB}\cong\overline{MQ}\)
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for △ghi to the right. is the red dashed segment an altitude, a median,…
C. Altitude, because it extends from a vertex of \(\triangle GHI\) and is perpendicular to the opposite side.
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then translation
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triangle abc is isosceles. what is the measure of angle c? 25° 30° 60° …
\(75^{\circ}\)
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5. if w(-10,4), x(-3,-1), and y(-5,11). find the length of each side an…
Since \(WX=\sqrt{74}\), \(XY = 2\sqrt{37}\), \(WY=\sqrt{74}\), two sides (\(WX\) and \(WY\)) are equal. So, \(\triangle WXY\) is an isosceles triangle.
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is there a series of rigid transformations that could map \\( \\triangl…
Yes, \(\triangle RST\) can be reflected across the line containing \(\overline{RT}\) and then rotated about \(T\) so that \(S\) is mapped to \(Y\)
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what is the length of \\( \\overline { s a } \\)? 1.89 ft 2.43 ft 3 ft …
7 ft
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for the triangles to be similar by the sss similarity theorem, what mus…
\(20\)
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complete the paragraph proof. given: m is the midpoint of \\( \\overlin…
corresponding parts of congruent triangles are congruent
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a side of the triangle below has been extended to form an exterior angl…
\(x = 22^{\circ}\)
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which statements regarding △efg are true? select three options. □ ef + …
EF + FG>EG, EG + FG>EF, EG - FG<EF.
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a side of the triangle below has been extended to form an exterior angl…
\(x = 55\)
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5. if w(-10,4), x(-3,-1), and y(-5,11). find the length of each side an…
\(x = 13\)
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figure rhom is a rhombus. (overline{ro}) and (overline{hm}) are the dia…
It must be a right angle.
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understanding transversals use the diagram to complete the statements. …
Angles 1 and 5 are congruent because they are corresponding angles. Angles 4 and 6 are congruent because they are alternate interior angles.
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a side of the triangle below has been extended to form an exterior angl…
\(x = 31^{\circ}\)
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ricardo has a square hot tub. he wants to build a square pool next to i…
4.8 ft
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understanding transversals use the diagram to complete the statements. …
Angles 1 and 5 are congruent because they are corresponding angles. Angles 4 and 6 are congruent because they are alternate interior angles.
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 14\)
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which value of x would make (overline{no}paralleloverline{kj})? 1 6 8 10
\(8\) (the third option)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 4\)
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is there a series of rigid transformations that could map ( \triangle k…
Yes, \(\triangle KLP\) can be reflected across the line containing \(\overline{KP}\) and then translated so that \(P\) is mapped to \(M\).
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the measures of the angles of a triangle are shown in the figure below.…
\(32\)
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pentagon abcde is dilated according to the rule $d_{o,3}(x,y)$ to creat…
\((-1,2)\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 59\)
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determine the type of triangle that is drawn below.
The triangle is an acute - scalene triangle.
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#4 which two points are 4 units from point a and that share the same y …
4) \((-2,1)\) & \((2,1)\)
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determine the type of triangle that is drawn below.
Isosceles triangle
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given: (overline{wy}congoverline{xz}) prove: (overline{wx}congoverline{…
2. \(\text{Def of Congruence}\)；3. \(\text{Segment Addition Property}\)；4. \(\text{Segment Addition Property}\)；5. \(\text{Substitution}\)；6. \(\text{Subtraction Property}\)；7. \(…
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determine the type of triangle that is drawn below.
The triangle is an obtuse - scalene triangle.
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#3 polygon abcd has vertices a(-4, -1), b(-4, 5), c(2, 5), and d(2, -1)…
4) 24 units
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determine the type of triangle that is drawn below.
Scalene acute triangle
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triangle abc was reflected over line m, then dilated by a scale factor …
The first diagram (the one with triangle \(ABC\) on the left of line \(m\), a reflected and then dilated triangle \(A''B''C''\) on the right of line \(m\) with smaller size and pr…
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#2 what is the perimeter of the shape?
2) \(30\) units
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determine the type of triangle that is drawn below.
Right - scalene triangle.
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determine the type of triangle that is drawn below.
The triangle is an obtuse - isosceles triangle.
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integers, rational numbers, absolute value, and the coordinate plane le…
1) 2 units
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solve for \\( \\angle y \\). submit your answer in terms of degrees. dr…
\(y = 78^{\circ}\)
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a triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. wh…
\(x - 1<n<3x + 5\)
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figure jklm is a kite. what is the measure of angle k? 156° 134° 118° 1…
\(118^{\circ}\)
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for what values of x and y are the triangles to the right congruent by …
\(x = 5\) and \(y = 3\)
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to build the roof for a paper house, a rectangular paper is cut to form…
The first diagram.
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lmno is a parallelogram, with \\( \\angle m = (11x) ^ { \\circ } \\) an…
\(m\angle N = 59^{\circ}\), \(m\angle O = 121^{\circ}\), \(x = 11\)
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for a craft project, two equilateral triangles are taped together to cr…
rhombus
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what is the value of x? 10 + 2x 2y + 4 18 10
\(4\)
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4 - 6 isosceles and equilateral triangles worksheet use the figure to f…
(a) \( 65^{\circ}\) (b) \( 65^{\circ}\) (c) \( 115^{\circ}\) (d) \( 130^{\circ}\) (e) \( 65^{\circ}\) (f) \( 115^{\circ}\) For question 2:
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the perimeter of the rectangle is 28 units. what is the value of w? 14 …
5 units
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what is the length of a side of rhombus jklm? 16 units 4 units 12 units…
12 units
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figure abcd is a kite. what is the length of line segment ad? 14 units …
\(22\) units
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word problems on congruent triangles worksheet 1 for each of these give…
a) \(x = 20\), \(y = 13\) (congruence rule \(AAS\)) b) \(\angle OQR = 62^{\circ}\), \(\angle QRO=88^{\circ}\) (congruence rule \(SSS\))
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applying the definition of a rhombus what is the value of s and the len…
\(s = 45\), \(BC = 434\) units.
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word problems on congruent triangles worksheet 1 for each of these give…
a) \(x = 9\) b) \(x = 16\)
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a carpenter is framing an opening in a wall to hang a rectangular door.…
The left side and bottom form a right angle, The top and right side form a right angle, The left side and right side are parallel, The top and bottom are parallel.
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applying the definition of a square mnop is a square. what are the valu…
\(t = 17.5\), \(f = 12\)
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describing an object which best describes the structure outlined in the…
It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
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team a serves the ball, but loses the rally. what two things are record…
Team A’s exit score in the correct service round box and a slash over the next point in Team B’s points column.
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classifying quadrilaterals applying the quadrilateral angle sum theorem…
\(119^{\circ}\)
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applying the definition of a kite what are the lengths of sides kn and …
KN = \(15\) units NM = \(20\) units
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understanding quadrilaterals which statements are true? choose three co…
A rectangle is sometimes a square, A square is always a rhombus, A trapezoid is never a kite.
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applying the quadrilateral angle sum theorem what is the measure of ang…
The measure of \(\angle D\) is \(52^{\circ}\). But if we assume there is a typo in the problem (for example, if \(\angle A = 123^{\circ}\) instead of \(128^{\circ}\)), using the t…
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circle the letter next to the best answer. 1. how did italian city - st…
C. They bought Asian and African luxury goods from Muslims from the Middle East.
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2. ac = _ bd = _ be = _ ab = _ bc = _
\(AC = 30\) \(BD = 30\) \(BE = 15\) \(AB = 27\) \(BC=\sqrt{30^{2}-27^{2}}=\sqrt{900 - 729}=\sqrt{171}=3\sqrt{19}\approx13.08\)
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how do we use law to find a side? example 1: in, given that ∠b = 48°, ∠…
\(AB\approx15.9\) cm and \(AC\approx28.0\) cm
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if ∠c + ∠d = 180, and ∠e and ∠d = 180, then ________. * your answer if …
\(\angle C=\angle E\); \(\angle3=\angle4\); \(X\parallel Z\); \(\angle L+\angle P = 180^{\circ}\); \(\angle G+\angle I=180^{\circ}\)
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if ∠3 + ∠8 = 180, and ∠4 + ∠8 = 180, then _______________* your answer …
1. \(\angle3\cong\angle4\) 2. \(X\parallel Z\) 3. \(\angle L\) is supplementary to \(\angle P\)
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1 polygon q is a scaled copy of polygon p. a. the value of x is 6, what…
a. \( y = 4.5 \) b. Factor de escala \( = \frac{3}{4} \)
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5. other than translation, what transformation is used to create this f…
glide reflection
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5. two secants, \\( \\overline { a b c } \\) and \\( \\overline { a d e…
\( DE = 3 \)
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4. what transformation is used to create this frieze pattern? vertical …
glide reflection
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try it! 3. b. what are the rotational symmetries for the figure? does t…
The rotational symmetries are \(180^{\circ}\) and \(360^{\circ}\). The figure has point symmetry (since it has \(180^{\circ}\) rotational symmetry).
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3. what transformation is used to create this frieze pattern? glide ref…
glide reflection
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2. other than translation, what transformation is used to create this f…
horizontal reflection
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3. in the accompanying diagram of circle o, chord \\( \\overline { c d …
\(ED = 8\)
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3. a. what are the rotational symmetries for the figure? does the figur…
The rotational symmetries are \(90^{\circ},180^{\circ},270^{\circ}\). The figure has point symmetry (because of the \(180^{\circ}\) rotational symmetry).
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applying the quadrilateral angle sum theorem the front view of a recycl…
\(144^{\circ}\)
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2. in the accompanying figure, \\( \\overrightarrow { a d } \\) is tang…
\(AB = 2\)
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4. in the accompanying diagram of circle o, chords ab and cd intersect …
\(BE = 10\)
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1. qr = _ sr = _ sq = _ pr = _ qt = _
\(QR = 10\), \(SR = 24\), \(SQ = 26\), \(PR = 26\), \(QT = 13\)
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if \\( \\angle a \\cong \\angle c \\), and \\( \\angle b \\cong \\angle…
1. \( \angle A\cong\angle B\) 2. \( \angle6\cong\angle3\) 3. \( \angle5\cong\angle4\)