Geometría
Triángulos, círculos, geometría analítica y demostraciones.
-
in the diagram below, \\( \\overline { a b } \\cong \\overline { b c } …
\(48^{\circ}\)
-
write the coordinates of the vertices after a reflection over the line …
The coordinates of \(Q'\) is \((0,6)\), the coordinates of \(P'\) is \((4,6)\) and the coordinates of \(R'\) is \((6,8)\)
-
triangle trs is rotated about point x, resulting in triangle bac. if ab…
\(20\) ft (since \(BC = 20\) ft and \(RS=BC\))
-
another fossilized bone was found outside the area of the grid. the pal…
Move the trowel \(4\) units right, then \(3\) units up.
-
find the distance between point e and point f.
\(3\)
-
write the coordinates of the vertices after a reflection over the line …
\(K'(-1,0)\), \(L'(-6,0)\), \(M'(-6,6)\), \(N'(-1,6)\)
-
look at the image below. find the area of the parallelogram. square uni…
28
-
find the perimeter of the rectangle. \\( \\frac { 3 } { x - 2 } \\) \\(…
\(\frac{14x - 10}{x^{2}-x - 2}\)
-
use the diagram to the right to find the measures of the angles listed …
45
-
triangle xyz was translated up 2 and right 3 units, creating triangle c…
\(\overline{YZ}\cong\overline{AB}\)
-
triangle ghj is rotated 90° about point x, resulting in triangle str. w…
\(\overline{TS}\cong\overline{HG}\) (i.e., the option \(\overline{TS}\cong\overline{HG}\) is correct)
-
question 5 multiple choice worth 4 points) (08.01 mc) a square prism an…
The volume of the square prism is equal to the volume of the cylinder.
-
find m∠tqw. m∠tqw =
\(46\)
-
3. in the figure to the right, the two angles form a linear pair. find …
\(45^{\circ}\)
-
your turn 1. use coordinate notation to write the rule that maps each p…
The coordinate rule is \((x,y)\to(x + 5,y - 4)\) and the transformation is a translation \(5\) units to the right and \(4\) units down.
-
the triangles are necessarily congruent. for each of the first three bo…
If the three given statements correspond to two sides and the included angle (or other valid congruence - forming combination), the reason for \(\triangle KLM\cong\triangle AZY\) …
-
determine if the two triangles are necessarily congruent. if so, fill i…
are
-
find the measure of x. x = ? round to the nearest hundredth.
$18.82$
-
figure b is a transformation of figure a. how can you describe the tran…
Flip
-
select the correct answer from each drop - down menu. on this map, oxfo…
Oxford Street is perpendicular to Waterloo Street, and Rosewood Street is perpendicular to George Street.
-
solve for the missing angle.
$36.9$
-
if you are given the two sides that are not the hypotenuse, which trig …
tangent
-
select the correct answer from each drop - down menu. given: \\( \\angl…
First blank: linear pair theorem; Second blank: substitution property of equality.
-
a rectangular region is removed from another rectangular region to crea…
The area of the shaded region is \(66\) square yards.
-
the square on the right is a scaled copy of the square on the left. ide…
\(3\)
-
what is the area of this figure? if necessary, round your answer to the…
\(100.90\)
-
which figure is a rotation of figure a? figure b figure c figure d
A. Figure B
-
the figure below is a square. find the length of side x in simplest rad…
\(x = 2\sqrt{2}\)
-
a rectangular region is removed from another rectangular region to crea…
\(118\) \(yd^{2}\)
-
solve for x. 9) 10) 11)
\(x = 12\)
-
determine the type of triangle that is drawn below.
Isosceles Obtuse
-
a rectangular region is removed from another rectangular region to crea…
\(66\space mm^{2}\)
-
simplify your answer and write it as a proper fraction, improper fracti…
\(1\)
-
m∠3 = 82°. find m∠4. m∠4 = □°
\(98\)
-
11. a(-10,-8) is the image of a after a dilation centered at the origin…
The coordinates of \(A\) are \((-5,-4)\)
-
10. graph the image of the triangle below using a scale factor of $k = …
\(A'(-\frac{3}{2},6)\), \(B'(\frac{9}{2},3)\), \(C'(0,0)\)
-
list the angles of the triangle in order from smallest to largest. note…
D. $\angle K$, $\angle L$, $\angle M$
-
solve the right triangle. write your answers in simplified, rationalize…
\(BC = 10\sqrt{3}\), \(AC = 15\), \(m\angle C=30^{\circ}\)
-
which figure is a reflection of figure a? figure b figure c figure d
C. Figure C
-
vertical angles are the opposite angles formed when two lines intersect…
$\angle PQJ$
-
which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
\(\angle PWQ\)
-
the two triangles below are similar. also, ( mangle c = 15^{circ} ) and…
\(m\angle P = 130^{\circ}\), \(m\angle Q=35^{\circ}\), \(m\angle R = 15^{\circ}\)
-
are these scalene triangles similar? yes no
no
-
the figure that results from a transformation is called the image. figu…
The length of \( \overline{AD} \) is 4 units. The length of \( \overline{EH} \) is 4 units. The sides have the same length (are congruent).
-
determine a series of transformations that would map figure d onto figu…
Reflexión sobre el eje \(x\) seguido de una traslación 7 unidades hacia la izquierda.
-
which rule explains why these triangles are congruent? sas asa aas sss …
AAS
-
select the correct answer from each drop - down menu. jamal is finding …
Jamal should find the length of each leg by calculating the differences in the \(x\) - coordinates (\(x_2 - x_1\)) and \(y\) - coordinates (\(y_2 - y_1\)).
-
maria rents space at a farmers market to sell the vegetables she grows.…
\(3z+32\)
-
for each figure below, determine if it has rotational symmetry. if it d…
- For the equilateral triangle: Rotational symmetry? Yes, Angle: \(120^{\circ}\) - For the letter \(T\): Rotational symmetry? No, Angle: N/A (since there is no rotational symmetry)
-
determine a series of transformations that would map figure d onto figu…
# Explicación paso a paso: ## Paso 1: Reflexión Observamos que Figure D y Figure E son simétricos con respecto al eje \(x\). La reflexión sobre el eje \(x\) transforma un punto \(…
-
question the right triangle on the right is a scaled copy of the right …
\(\frac{5}{4}\)
-
round each measurement to the nearest ten. then estimate the area of th…
4,000 square inches
-
find the area of this sector if ( r = \frac{9}{2} ) and ( \theta = \fra…
\(\frac{135}{16}\pi\)
-
in the diagram, ( \triangle pmncong\triangle qsr ). if ( qr = 20 ) in.,…
\(20\) in.
-
the measure of an angle is fourteen times the measure of its complement…
\(6\) and \(84\)
-
name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\(m\angle2 = 76^{\circ}\), \(m\angle3 = 104^{\circ}\), \(m\angle4 = 76^{\circ}\)
-
name the two pairs of vertical angles in the figure. ∠1 and? ∠2 and?
$\angle1$ and $\angle3$, $\angle2$ and $\angle4$
-
find ( mangle vyw ). ( mangle vyw=square^{circ} )
\(59\)
-
m∠3 = 82°. find m∠4. m∠4 =
\(98\)
-
in the figure, ( mangle abd = 156^{circ} ). what is ( mangle abc )? ( m…
\(124\)
-
match each translation of the point $(1,-2)$ to the coordinates of its …
- 3 units left: \( (-2,-2) \) - 3 units right: \( (4,-2) \) - 3 units up: \( (1,1) \) - 3 units down: \( (1,-5) \)
-
triangle xyz with vertices x(0, 0), y(0, -2), and z(-2, -2) is rotated …
\(R_{0,270^{\circ}}\), \((x,y)\to(-y,x)\)
-
for each figure, identify any angles of rotation that create symmetry. …
The angles of rotation that create symmetry for the second figure are \(90^{\circ}\), \(180^{\circ}\), \(270^{\circ}\), and \(360^{\circ}\)
-
use the pythagorean theorem to find the missing leg of the triangle bel…
\(24.74\)
-
quadrilateral ( a^{prime} b^{prime} c^{prime} d^{prime} ) is the image …
\( 12 \)
-
an igloo can be modeled as a hemisphere. its radius measures 3.2 m. fin…
- For the igloo: \(68.6\) \(m^{3}\) - For problem 7: \(96460.8\) \(in^{3}\) - For problem 8: \(8.4\) cm - For problem 9: \(10.3\) cm
-
name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
$76$
-
the figure shows two intersecting lines. write an equation to show how …
\(m\angle1 + m\angle2 = 180^{\circ}\)
-
if \\( \\triangle pqr \\) is isosceles, what is the measure of \\( \\an…
\(68^{\circ}\)
-
solve for x. ( x = )
\(4\)
-
calculate the area of the circle. formula: a = πr² use 3.14 for pi. a =…
\(530.7\)
-
find the value of x, y, and z in the parallelogram below. answer attemp…
\(x = 14.4\), \(y=-34.5\), \(z = 11.3\)
-
list the angles of the triangle in order from smallest to largest. choo…
D. $\angle M$, $\angle K$, $\angle L$
-
the figure shows three intersecting lines. lines g and h are perpendicu…
\(35\)
-
$$ \\overline { h i } \\parallel \\overline { f g }, \\overline { g i }…
1. Given 2. Given 3. Given 4. Alternate - interior angles theorem (\( \overline{HI}\parallel\overline{FG}\)) 5. (This row may be a mis - step in the original proof structure. If w…
-
write the equation of the line in fully simplified slope - intercept fo…
$y=-x + 6$
-
6. polygon q is a scaled copy of polygon p. the value of x is 6, what i…
A. \(\frac{3}{4}\)
-
which figure is a reflection of figure a? figure b figure c figure d
Figure D
-
find ( mangle bfc ). one way to get started is with a vertical angle re…
\(62\)
-
find ( mangle vyw ). ( mangle vyw=square^{circ} )
\(59\)
-
the figure shows three intersecting lines. lines g and h are perpendicu…
\(90\)
-
name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\(m\angle2 = 76^{\circ}\) \(m\angle3 = 104^{\circ}\) \(m\angle4 = 104^{\circ}\)
-
gh || ef. complete the proof that △egh ≅ △gef. 1 gh || ef given 2 gh ≅ …
3. Alternate - interior angles theorem; 4. Reflexive property of congruence.
-
determining congruence the vertices a(1, - 2), b(1, - 4), and c(5, - 2)…
The fourth option (a \(90^{\circ}\) counterclockwise rotation about the origin and then a translation left \(5\) units)
-
the vertices a(1, - 2), b(1, - 4), and c(5, - 2) form a triangle. the v…
A \(90^{\circ}\) counterclockwise rotation about the origin and then a translation left \(5\) units.
-
$$\\overleftrightarrow{ux}$$ bisects $$\\angle vuw$$ and $$\\overline{u…
3. Definition of angle bisector; 4. Reflexive property of congruence; 5. SAS (Side - Angle - Side) congruence criterion.
-
reflections produce an image that is congruent to the pre - image. the …
The statement “Rotations do not produce an image that is congruent to the pre - image” is not true.
-
drag each tile to the correct box. not all tiles will be used. figures …
reflect across line \(m\), translate to the right
-
which statement is not true? reflections produce an image that is congr…
The statement “Rotations do not produce an image that is congruent to the pre - image” is not true.
-
find the measures of \\( \\angle d e f \\) and \\( \\angle e f d \\). r…
\(\angle DEF\approx57.1^{\circ}\) and \(\angle EFD\approx46.1^{\circ}\)
-
santana says the image is formed from the pre - image by a reflection a…
Yes, Santana is correct.
-
statement reason 1. \\( \\overline{w y} \\) and \\( \\overline{x z} \\)…
B. \(\triangle YAZ\cong\triangle WAX\)
-
santana says the image is formed from the pre - image by a reflection a…
Yes, Santana is correct.
-
santana says the image is formed from the pre - image by a reflection a…
No, the translation should be 2 units up.
-
select the correct answer. which of these sentences is always true for …
D. Opposite angles are congruent.
-
proof: 1. \\( \\overline { \\mathrm { nl } } \\) is a diagonal of paral…
C. \(\angle KLN\cong\angle MLN\), and \(\angle KNL\cong\angle MNL\) by the alternate interior angles theorem
-
which rule explains why these triangles are congruent? aas asa sss sas …
AAS
-
select the correct answer. in rectangle pqrs, pq = 18, ps = 14, and pr …
C. 11.4
-
type the correct answer in the box. use numerals instead of words. in p…
\(8\)
-
y is the midpoint of \\( \\overline { w x } \\). complete the proof tha…
4. Reflexive property of congruence; 5. SSS (Side - Side - Side) congruence criterion.