Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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before you continue, we recommend completing the day 2 activity \practi…
Nonadjacent
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complete each sentence with the appropriate properties of the given par…
The value of \(p\) is \(3\). The equation of the directrix is \(x = - 3\). The focus is located at \((3,0)\). The parabola is concave to the right.
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classify ∠onp as right, acute, obtuse, or straight. obtuse acute straig…
Right
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classify ∠lnp as right, acute, obtuse, or straight.
Acute
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directions: use your resources to answer the following questions from u…
C. 30 in.
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classify ∠onp as right, acute, obtuse, or straight.
Obtuse
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4. angle bde is congruent to angle bac. \\( \\angle bde \\cong \\angle …
\(\angle BED\cong\angle BCA\). Because if we assume line \(m\) is parallel to line \(l\) (since \(\angle BDE\cong\angle BAC\) which are corresponding angles), and when two paralle…
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find the coordinates of the vertices of the image of math for each tran…
1. \(M'(-3,4)\), \(A'(2,2)\) 2. \(M'(-2,-2)\), \(T'(0,4)\) 3. \(M'(2,-2)\), \(H'(2,-3)\) 4. \(M'(-8,8)\), \(H'(-12,-8)\) 5. \(M'(-6,-6)\)
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classify \\( \\angle o z m \\) as right, acute, obtuse, or straight.
Straight
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triangle abc is reflected across line l to form \\( \\delta a _ { l } b…
A. \(A_{L}D = B_{L}D\)
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3. in the figure shown, lines f and g are parallel. select the angle th…
C. Angle 7
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△abc rotates 90° clockwise about point p to form △abc. m∠cpc is °.
\(90\)
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classify ∠lnp as right, acute, obtuse, or straight.
Right
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3 rectangle abcd translates 4 units down and 2 units to the right to fo…
B. 5 units
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should the circle on the number 7 be open or closed on the following in…
open
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fill in the blank 3 points △xyz has vertices x(1,1), y(3,2), and z(-1,3…
\(X'(-1,4)\), \(Y'(1,5)\), \(Z'(-3,6)\)
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remember, you have access to a printable copy of the online practice qu…
\(\angle ONP\)
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which name represents the indicated angle? ∠mnq ∠nml ∠nlm ∠lnm
$\angle LNM$
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fill in the blank 3 points △xyz has vertices x(1,1), y(3,2), and z(-1,3…
\(X'(-3,1)\), \(Y'(-5,2)\), \(Z'(-1,3)\)
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multiple answer 1 point which transformations are rigid motions? dilati…
A. Dilation with a \(k = 1\) B. Reflection over any line C. Translation in any direction E. Rotation around any point, direction, and degree
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triangle angle sum theorem: the three angle measures of any triangle al…
\(180^{\circ}\)
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select the correct answer. which statement about rigid transformations …
C. A rigid transformation preserves both the side lengths and the angle measures of a polygon.
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remember, you have access to a printable copy of the online practice qu…
\(\angle ONM\)
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read this text. southern africas so - called fairy circles—round patche…
yes
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10. find each angle. value of x____ ∠h=____ ∠i=____ exterior angle=____
Value of \(x = 42\) \(\angle H = 86^{\circ}\) \(\angle I = 52^{\circ}\) Exterior angle \(=128^{\circ}\)
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10. fill in the sentence below with the description that most specifica…
The quadrilateral is most specifically a square, because all sides are congruent and all sides meet at right angles.
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answer the question below. type your response in the space provided.pol…
\(7\) units
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corresponding angle theorem: if two lines are cut by a, then correspond…
parallel, transversal, congruent, transversal, congruent, parallel
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9. find each angle. value of x____ ∠d =____ ∠f =____ exterior angle=____
Value of \(x = 21\) \(\angle D=29^{\circ}\) \(\angle F = 63^{\circ}\) Exterior angle \(=92^{\circ}\)
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8. choose all answers that describe the polygon klmn if kl = lm = mn = …
- Quadrilateral - Parallelogram - Rhombus
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7. choose all answers that describe the polygon j k l m if j k = l m, k…
Parallelogram, Quadrilateral, Rectangle, Square, Rhombus
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6. choose all answers that describe the polygon stuv if st = tu = uv = …
Parallelogram, Rectangle, Rhombus, Square, Quadrilateral
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triangle △abc is the image of △abc under a dilation with a scale factor…
\(3\)
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8. find each angle: value of x ∠a = ∠b = ∠c = exterior angle=
Value of \(x = 27\) \(\angle A=126^{\circ}\) (since the interior angle at \(A\) is \(180 - 54=126^{\circ}\)) \(\angle B = 93^{\circ}\) \(\angle C=33^{\circ}\) Exterior angle \(=54…
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alternate interior angle theorem: if two lines are cut by a, then alter…
parallel, transversal, congruent, transversal, congruent, parallel
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5. choose all answers that describe the polygon fghi if fg = gh = hi = …
- Parallelogram - Rhombus - Quadrilateral
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11. what is an equation of a line parallel to line segment cb of the tr…
B. \(y =-\frac{1}{3}x + 6\)
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vertical angles are__________ **mark the vertical angles**
congruent
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write an equation for a parabola with a vertex at (0,0) and a focus at …
\(x^{2}=-16y\)
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polygon abcd is reflected across line l to form a_lb_lc_ld_l. what is t…
Line \(L\) is the perpendicular bisector of \(\overline{CC_{L}}\).
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rotate______ ______________by______using center______.
Rotate \(P\) by \(a^{\circ}\) using center \(C\).
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what is the distance between the following points? choose 1 answer: a 6…
B. 8
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two figures are ____________ if there is a sequence of translations, ro…
Two figures are congruent if there is a sequence of translations, rotations, and reflections that takes one figure exactly onto the other. The second figure is called the image of…
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16. the area a of the rectangle is described with the inequality 40 ≤ a…
The compound inequality for \(k\) is \(5\leq k\leq15\)
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translations take lines to ________________ lines or to themselves.
parallel
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translate by the directed line segment.
Translate \(A\) by the directed line segment \(v\).
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what is the equation of a parabola with a focus at (2, -3) and a direct…
D. \(y^{2}=-6x - 6y + 12\)
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reflect ___ across line ___. the image is ____.
Reflect \(A\) across line \(m\). The image is \(A'\).
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what is the equation of a parabola with a focus at (2, -3) and a direct…
D. \(y^{2}=-6x - 6y+12\)
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select the correct answer from each drop - down menu. △abc is translate…
\(A'\) is at \((-4,8)\) and \(B'\) is at \((-2,11)\)
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select the correct answer from each drop - down menu. △abc is translate…
Vertex \(A'\) is at \((-4,8)\)
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in the figure, polygon abcd is dilated by a factor of 2 to produce abcd…
Point \(A'\) is at \((-2,-2)\), and point \(D'\) is at \((4,-2)\)
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u2l19 practice - solutions to inequalities in one variable which graph …
The second option (the number line with an open circle at \(3.5\) and the line extending to the left) represents the solution.
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3\\(\\triangle xyz\\) is translated 4 units up and 3 units left to yiel…
A. 5 units
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select the correct answer. a triangle with vertices at ( a(0,0) ), ( b(…
C. 2.5
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select the correct answer. square efgh stretches vertically by a factor…
B. \((-2,0)\)
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example 3) find the value of x. example 4) use the diagram below to fin…
## Example 3 \(x = 60\) ## Example 4 a) \(65^{\circ}\), Vertical Angles Theorem b) \(110^{\circ}\), Vertical Angles Theorem and Corresponding Angles Postulate c) \(71^{\circ}\), A…
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example 3) find the value of x. example 4) use the diagram below to fin…
a) \(65^{\circ}\), Vertical Angles Theorem b) \(70^{\circ}\), Linear - Pair Postulate and Corresponding Angles Theorem c) \(71^{\circ}\), Alternate - Interior Angles Theorem d) \(…
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answer the question below. type your response in the space provided. δr…
\(0.4\)
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10 which of the following triangle pairs can be proven with the sas pos…
A, E
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polygon abcd is dilated about the origin, o, to create polygon abcd. po…
The polygon was enlarged by a scale factor of \(4\).
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9 these triangles are __________. a congruent by sss. b congruent by sa…
A. congruent by SSS.
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multiple choice 4 points the accompanying diagram shows two similar tri…
\(\frac{24}{9}=\frac{x}{15}\)
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8 what additional information would be needed to prove these triangles …
C. \(\angle B\cong\angle W\)
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multiple choice 4 points 2 two triangles are similar. the measure of th…
\(6.25\)
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7 which of the following statements is needed in order to prove these t…
B. \(RS\cong UV\)
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using the graph, determine the coordinates of the y - intercept of the …
\((0,-3)\)
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if ( \triangle mnpcong\triangle vwx ) and ( overline{pm} ) is the short…
\(\overline{XV}\)
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polygon abcd is defined by the points a(-5, 1), b(-4, 3), c(-2, 7) and …
\((-7,-2)\) (the second option)
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the lengths of the sides of a triangle are 8, 15, and 17. if the longes…
3. \(24\) 4. \(\{20,30,40\}\)
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5 what is the value of \\( \\angle x \\)? a 53 b 60 c 67 d 113
D. \(113\)
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if $\\triangle abc$ is equilateral, find $x$. a $x = 28$ b $x = 16.75$ …
C. \(x = 13\)
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find the m>1. 79° 104° a 183° b 25° c 101° d 155°
B. \(25^{\circ}\)
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2 find the value of x. a x = 22 b x = 90 c x = 9 d x = 68
\(x = 9\) (Option C)
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a sequence of transformations is described below. • a rotation about a …
A. Angle measures only
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find the value of \\( \\angle 1 \\). 1 \\( 76 ^ { \\circ } \\) 1 \\( 59…
\(45^{\circ}\), so the answer is C.
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two triangles are similar. the measure of the shortest side of the firs…
\((20,30,40)\)
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quadrilateral ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime }…
A. The perimeters of quadrilateral \(ABCD\) and quadrilateral \(A'B'C'D'\) are the same. B. \(AD\) and \(A'D'\) have the same lengths.
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quadrilateral ( abcd ) is the result of translating quadrilateral ( abc…
A. \(\angle C\) and \(\angle C'\) have the same measures; B. The areas of quadrilateral \(ABCD\) and quadrilateral \(A'B'C'D'\) are the same; C. The perimeters of quadrilateral \(…
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the accompanying diagram shows two similar triangles. which proportion …
\(\frac{24}{9}=\frac{x}{15}\)
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quadrilateral k r w b is shown on the coordinate grid. apply the sequen…
\( B'=(6,3) \), \( B''=(-6,-3) \)
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the diagram shows the preimage abcd and five reflected images. match ea…
- across the origin \((0,0)\): The image in the third - quadrant (lower - left part of the coordinate system). - across the \(x -\)axis: The image directly below the pre - image \…
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select the types of symmetry each figure has. if it has line symmetry, …
None
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your answers: 1 0/4 points if △mnp≅△vwx and (overline{pm}) is the short…
6.25
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triangle abc was transformed to create triangle def. write the algebrai…
Type of Transformation: reflection; Rule \((x,y)\to(-x,y)\)
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segment \\( \\overline { a ^ { \\prime } b ^ { \\prime } } \\) is the r…
C. $\overline{AB}$ and $\overline{A'B'}$ have the same lengths.
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rectangle abcd is rotated 95° about point q to create rectangle abcd. w…
\(12\)
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11 multiple choice 1 point quadrilateral qnre and quadrilateral qnre ar…
B. 270 counterclockwise rotation about the origin.
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select all of the correct statements about the unchanged properties of …
B. Circle \(A\) and circle \(A'\) have the same area. C. The radii of circle \(A\) and circle \(A'\) have the same lengths.
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triangle \\( \\triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) i…
A. \(BC\) and \(B'C'\) are both perpendicular to the \(y\) - axis. B. \(\angle B\) and \(\angle B'\) have the same measures. C. The perimeters of \(\triangle ABC\) and \(\triangle…
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multiple choice 1 point the darker shaded figure is the image of the gr…
Translation
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triangle \\( \\triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) i…
A. \(\angle A\) and \(\angle A'\) have the same measures. C. The areas of \(\triangle ABC\) and \(\triangle A'B'C'\) are the same.
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select the types of symmetry each figure has. if it has line symmetry, …
Line, Rotational
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answer the question below. type your response in the space provided. po…
\(5\)
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draw the image of \\( \\triangle a b c \\) under a dilation whose cente…
Follow the above three - step drawing process to obtain the image of \(\triangle ABC\) under the given dilation.
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polygon abcd is translated to create polygon ( abcd ). point a is locat…
\(x'=x - 3\), \(y'=y - 2\) (the first option)
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which angle is congruent to angle j? * △def ≅ △kji angle d angle f angl…
Angle E
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quadrilateral ( abcd ) is the result of rotating quadrilateral ( abcd )…
A. \(\overline{BC}\) and \(\overline{B'C'}\) are both parallel to the \(y\) - axis; B. \(\angle B\) and \(\angle B'\) have the same measures.
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triangle \\( \\triangle a b c \\) is reflected across line \\( n \\) to…
\(54^{\circ}\)
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6. the hypotenuse of a right isosceles triangle is 5 cm long. a) write …
a) The base \(b = \frac{5\sqrt{2}}{2}\) cm and the height \(h=\frac{5\sqrt{2}}{2}\) cm. b) The area of the triangle is \(\frac{25}{4}\) cm².