Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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respuesta una rotación de 90° en sentido antihorario alrededor del orig…
# Explicación paso a paso: ## Paso 1: Comprender la rotación La rotación de \(90^{\circ}\) en sentido antihorario alrededor del origen transforma un punto \((x,y)\) en \((-y,x)\).…
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respuesta una rotación de 90° en sentido antih orario alrededor del ori…
Una rotación de \(90^{\circ}\) en sentido horario alrededor del origen
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figure d figure e respuesta una reflexión sobre el eje x una reflexión …
# Explicación breve: Para determinar la transformación entre Figure D y Figure E, observamos cómo cambian las coordenadas de los puntos. Una reflexión sobre el eje \(x\) cambia el…
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respuesta una rotación de 90° en sentido antihorario alrededor del orig…
# Explicación breve: Para determinar la transformación, se observa la posición de las figuras en el plano cartesiano. Una reflexión sobre el eje \(y\) cambia el signo de la coorde…
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respuesta una traducción de 3 unidades a la izquierda y 5 unidades haci…
Una traducción de 3 unidades a la izquierda y 5 unidades hacia abajo
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solve the inequality and graph the solution on the line provided. 6x + …
Inequality Notation: \(x > - 4\) For the number line: Place an open circle at \(-4\) (because the inequality is strict, i.e., \(x\) is greater than \(-4\) not greater than or equa…
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respuesta una rotación de 90° en sentido antihorario alrededor del orig…
Una reflexión sobre el eje \(x\)
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respuesta una reflexión sobre el eje x una reflexión sobre el eje y una…
Una rotación de \(180^{\circ}\) en sentido horario alrededor del origen.
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respuesta una reflexión sobre el eje x una rotación de 180° en sentido …
# Explicación breve: Para determinar la transformación geométrica entre la figura \( H \) y la figura \( I \), se observa que si se toma un punto de la figura \( H \), por ejemplo…
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respuesta una traslación de 2 unidades a la izquierda y 3 unidades haci…
Una rotación de \(90^{\circ}\) en sentido horario alrededor del origen.
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: \(x>1\) For the number - line: Plot an open circle at \(x = 1\) (because the inequality is strict, \(x eq1\)) and draw an arrow to the right of \(1\) to repr…
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solve for x and graph the solution on the number line below. 7 + x < 6 …
Inequality Notation: \(x < - 1\) To graph on the number - line: Place an open circle at \(-1\) (because the inequality is strict, \(x eq - 1\)) and draw an arrow to the left (sin…
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solve for x and graph the solution on the number line below. -4 > 2x an…
Inequality Notation: \(x < - 2\) For the number line: Place an open circle at \(-2\) (since the inequality is strict, \(x eq - 2\)) and draw an arrow to the left.
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question fill in the missing statement and reason of the proof below. g…
\(\triangle GHD\cong\triangle EHF\) (by SAS congruence criterion)
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solve for $x$ and graph the solution on the number line below. $10 + x …
Inequality Notation: \(x > - 7\) To graph on the number - line: Place an open circle at \(-7\) (because the inequality is strict, i.e., \(x eq - 7\)) and draw an arrow to the rig…
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solve for ( x ) and graph the solution on the number line below. ( 1>\f…
Inequality Notation: \(x < 5\) For the number - line: Place an open circle at \(x = 5\) (since the inequality is strict, \(x eq5\)) and shade the line to the left of \(5\) (towar…
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step 1 statement \\( \\overline { g h } \\cong \\overline { e h } \\) r…
3. Type of Statement: Congruent - angle statement (supplementary - angle property). Reason: If two angles are supplements of congruent angles, then they are congruent.
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solve for ( x ) and graph the solution on the number line below. ( -10x…
Inequality Notation: $x < - 8$ For the number line: Place an open circle at -8 (since -8 is not included in the solution) and draw an arrow to the left (towards the smaller number…
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e is the midpoint of ac given ae ≅ ec reason: select reason be ≅ ed rea…
- For \( \overline{AE}\cong\overline{EC} \): Definition of mid - point. - For \( \overline{BE}\cong\overline{ED} \): Given. - For \( \angle BEA\cong\angle CED \): Vertical angles …
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figure c figure b una traducción unidades y unidades. izquierda bien in…
Una traducción izquierda \(5\) unidades y abajo \(8\) unidades.
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planes a and b are shown if a new line, p, is drawn parallel to line l,…
Line \( p \) must be drawn so that it can lie in the same plane as line \( l \).
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if a translation of ( t_{-1,-8}(x,y) ) is applied to square abcd, what …
-6
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select reason reason: $overline{ad}congoverline{cd}$ reason: given $ove…
- For \( \overline{AD}\cong\overline{CD} \): Definition of Segment Bisector. - For \( \angle A\cong\angle C \): Base Angles Theorem (assuming \( AB = CB \) from triangle being iso…
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14. in \\( \\triangle k l m \\), if \\( \\angle k \\cong \\angle l, k l…
\(x = 15\), \(KL = 95\), \(LM = 68\), \(KM = 68\)
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segments, so ( overline{pm} cong overline{km} ) since ( overline{pk} pe…
corresponding parts of congruent triangles are congruent
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10. a triangle has two perpendicular sides that are the same length. wh…
isosceles, right
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9. how are a parallelogram and a trapezoid different? (1 point) a trape…
A. A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
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one side of a ravine is 51 ft long, and the other is 43 ft long. a 84 f…
\(126.59^{\circ}\)
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8. marla draws a diagonal in a rhombus to form two triangles. what term…
Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.
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ac bisects ∠bad given ∠bac ≅ ∠dac reason: select reason ∠b ≅ ∠d reason:…
- For \(\angle BAC\cong\angle DAC\): Definition of angle bisector - For \(\angle B\cong\angle D\): Given - For \(AC\cong AC\): Reflexive property of congruence - For \(\triangle A…
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6. choose yes or no to tell if each statement is true. (1 point) a rhom…
For the first four statements: No, No, No, Yes. For question 7: trapezoid.
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given: $\\overline{bd}$ and $\\overline{ac}$ bisect each other. prove: …
\(\overline{AB}\parallel\overline{CD}\) is proved.
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5. makayla wants to classify the triangle below. select all of the term…
isosceles, right
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are the triangles similar? if so, why? 18) △abc∼ a) not similar b) simi…
B. similar; AA similarity; $\triangle TAS$
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kyle has an aquarium in the shape of a rectangular prism. the aquarium …
12
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4. alex drew the triangles shown. which of the following correctly desc…
Both triangles have an obtuse angle.
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3. identify the figure below. select all names that apply. (1 point) qu…
quadrilateral, parallelogram
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5:44 sify two-dimensional igures unit test 2. mason claims that he can …
The green diagram.
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1. ye li drew a quadrilateral that is both a rectangle and a rhombus. n…
square
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in the diagram, the ratios of two pairs of corresponding sides are equa…
A. \( \angle N\cong\angle Z \)
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triangle def is an isosceles, so ∠def ≅ ∠dfe angle def measures 75°. wh…
105°
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una traducción izquierda 5 unidades y arriba 5 unidades.
Una traducción derecha \(13\) unidades y sin movimiento vertical (o \(0\) unidades hacia arriba/abajo)
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what is the measure of \\( \\angle jhn \\)? \\( 25 ^ { \\circ } \\) \\(…
C. \(50^{\circ}\)
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based on the diagram, can point d be the centroid of triangle acf? expl…
No, the ratio between AD and DE is 3:1
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fill in the missing statement and reason of the proof below. given: \\(…
For step 4: \(\triangle GHD\cong\triangle EHF\) (by SAS, since \(GH = EH\), \(DH=FH\), \(\angle GHD=\angle EHF\) (vertical angles)); for step 4 reason: Side - Angle - Side (SAS) c…
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what additional information could be used to prove \\( \\triangle a b c…
- \(m\angle A = 64^{\circ}\) and \(AB = MQ = 31\space cm\) - \(m\angle R = 60^{\circ}\) and \(\overline{AB}\cong\overline{MQ}\)
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8 7 6 5 4 3 2 1 step ∠a≅∠b △ade≅△bfg (overline {gf}cong overline {ed}) …
If two angles are supplements of the same angle (or congruent angles), then they are congruent.
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una traducción unidades y unidades. izquierda bien intentar
Una traducción hacia la derecha \(7\) unidades y hacia arriba \(5\) unidades.
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what is the length of \\( \\overline{sa} \\)? \\( \\bigcirc 1.89 \\math…
\(7\mathrm{ft}\)
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estimation without doing calculations, use side de and side de to estim…
\(3\)
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9. 60° 7x + 19 11x - 89 60°
\(x = 27\)
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step statement reason 1 (overline{ab}congoverline{cd}) (overline{fa}con…
\(\triangle FAC\cong\triangle EDB\) by \(SAS\) (Side - Angle - Side)
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a line segment has endpoints at (3, 2) and (2, -3). which reflection wi…
A. a reflection of the line segment across the x - axis
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if a point is on the perpendicular bisector of a segment, then it is eq…
\(WP = YP\) is proved as above.
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given that d is the midpoint of ab and b is the midpoint of ac, which s…
AC = 4DB
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given \\( \\triangle k l - \\triangle x y z \\), find the possible coor…
C. (2.5, - 5.5)
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7. (5x - 7)° (8x - 55)°
\(x = 16\)
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think about the process if \\( \\triangle pqr \\) were similar to \\( \…
Yes, \(\angle X\)
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help me solve this view an example get more help think about the proces…
\(\angle X\)
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which composition of similarity transformations maps △lmn to △lmn? a di…
a dilation with a scale factor greater than 1 and then a reflection
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help me solve this view an example get more help which of these triangl…
B. \(\triangle MNP\sim\triangle XYZ\)
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which best explains why the orthocenter of an obtuse triangle is outsid…
B. Two of the altitudes lie entirely outside the triangle
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help me solve this view an example get more help is \\( \\triangle mno …
Yes
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which rule represents the translation from the pre - image, \\( \\trian…
\((x,y)\to(x + 7,y-6)\)
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step statement reason 1 \\( \\angle b c f \\cong \\angle d c f \\) \\( …
\(\triangle ACB\cong\triangle ECD\) (by the SAS congruence criterion)
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abcd and efch are quadrilaterals. given abcd - efgh, describe a sequenc…
B. Reflection across the \(x -\)axis, translation \(1\) unit left and \(1\) unit down, dilation with center \((0,0)\) and scale factor \(\frac{1}{2}\)
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figure w figure v izquierda bien una traducción unidades y unidades.
Una traducción izquierda \(6\) unidades y arriba \(7\) unidades.
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rstu and vxyz are quadrilaterals. given rstu - vxyz, describe a sequenc…
A. Reflection across y - axis, dilation with center \((0,0)\) and scale factor \(\frac{1}{2}\)
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which piece of additional information can be used to prove that \\( \\t…
C. \( \angle R\cong\angle V \)
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figure w figure v una traducción unidades y unidades. intentar
Una traducción \(6\) unidades hacia la derecha y \(6\) unidades hacia abajo.
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an isosceles right triangle has leg lengths of 4 centimeters. what is t…
B. \(2\sqrt{2}\text{ cm}\)
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a surveyor wants to use similar triangles to determine the distance acr…
a) Yes, the two triangles are similar (by AA similarity criterion). b) A. The distance across the lake is \(30\) ft.
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a surveyor wants to use similar triangles to determine the distance acr…
a) Yes. The two triangles are similar because they have two pairs of equal angles (AA similarity criterion). b) \(30\) ft.
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determine whether the statement is always, sometimes, or never true. th…
Never
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determine whether the statement is always, sometimes, or never true. th…
Sometimes
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rectangle quad has coordinates q(4,5), u(4,10), a(11,10), and d(11,5). …
\(25\)
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figure rhom is a rhombus. ro and hm are the diagonals of the rhombus, a…
It must be a right angle.
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a dilation maps \\( \\triangle hij \\) onto \\( \\triangle h ^ { \\prim…
\(H'J' = 24\) in, \(I'J'=8\) in
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in the coordinate plane, you can extend dilations to include scale fact…
A.
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parallelogram not necessarily a parallelogram parallelogram not necessa…
First figure: Parallelogram; Second figure: Parallelogram; Third figure: Parallelogram; Fourth figure: Not necessarily a parallelogram.
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given: ( ab = 12 ) ( ac = 6 ) prove: ( c ) is the midpoint of ( overlin…
transitive
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a picture of a family crest is 4.2 inches wide. the family needs a redu…
\(0.36\)
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draw the image of \\( \\triangle abc \\) for the dilation with center \…
C.
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a dilation has center (0,0). find the image of the point a(-8,4) for th…
\((-12,6)\)
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two parallel lines are crossed by a transversal if ( mangle1 = 61.8^{ci…
C. \(118.2^{\circ}\)
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decide if each expression can be used to find the volume, in cubic cent…
A. Yes, B. No, C. No, D. Yes, E. Yes, F. No, G. No, H. Yes, I. No, J. Yes
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a dilation has center (0,0). find the image of the point l(-4,0) for th…
\((-28,0)\)
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help me solve this view an example get more help. the triangle ace, is …
Enlargement, scale factor \(\frac{5}{3}\)
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the pink figure is a dilation image of the black figure. the labeled po…
Reduction, scale factor \(\frac{1}{2}\)
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14) ( mangle 2=x + 135 )
\(x=-45\)
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13) $m\\angle 2 = x + 130$
\(x = 20\)
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directions: find the value of each variable. 5. 4x + 23 10x - 1 78° 78°
\(x = 4\)
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12) ( m angle 2 = x + 81 )
\(x=-28\)
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use similar triangles to solve. a person who is 6 feet tall is standing…
\(84\)
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11) ( m angle 2 = x + 146 )
\(x=-32\)
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△abc is similar to △dec. find the length of x. the length of side x is …
\(18\)
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use the figure shown to the right to prove the following. given: right …
1. **Reason for \(\triangle ABC\sim\triangle ACD\) and \(\triangle ABC\sim\triangle CBD\)**: AA (Angle - Angle) similarity criterion. 2. **Proportions**: - \(\frac{AC}{AD}=\frac{A…
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use the figure shown to the right to prove the following. given: right …
The proof is completed by using the AA similarity criterion for \(\triangle ABC\) and \(\triangle ACD\) to get \(\frac{AB}{AC}=\frac{AC}{AD}\), and for \(\triangle ABC\) and \(\tr…
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8) $m\\angle 2=x + 43$
\(x=-13\)
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if g is the centroid of \\( \\triangle a c e, a g = 26, b c = 44 \\), a…
\(GF = 13\) \(AF = 39\) \(FC = 22\) \(GB = 24\) \(DB = 36\)