Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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for what values of the variables must abcd be a parallelogram? x = y = …
\(x = 27\), \(y = 29\)
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for what value of x must abcd be a parallelogram? d c 12x - 5 a b 10x +…
\(x = 4\)
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you start at (2, 5). you move down 1 unit. where do you end?
$(2,4)$
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the measure of an exterior angle of a regular polygon is given below. f…
- Measure of interior angle: \(160^\circ\) - Number of sides: \(18\)
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for what value of x must abcd be a parallelogram? for abcd to be a para…
\(8\)
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write the coordinates of the vertices after a dilation with a scale fac…
\( R(-3,-3)\), \( S(-3,3)\), \( T(0,9)\), \( U(3,3)\)
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10. developing proof whats wrong with this picture? image of a polygon …
The sum of the angle measures (assuming it's related to polygon exterior or interior - adjacent angles) does not follow the basic geometric rules (such as the sum of exterior angl…
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you start at (2, 8). you move right 3 units. where do you end?
(5, 8)
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write the coordinates of the vertices after a dilation with a scale fac…
\(A'(-3,-3)\), \(B'(1,-3)\), \(C'(1,2)\), \(D'(-3,2)\)
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you start at (6, 2). you move down 2 units. where do you end?
$(6, 0)$
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can the following quadrilateral be proven to be a parallelogram based o…
A. No. It cannot be proven because the same pair of opposite sides are not congruent and parallel.
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you start at (3, 4). you move up 2 units. where do you end?
$(3,6)$
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write the coordinates of the vertices after a dilation with a scale fac…
\(A'(-2,-3)\), \(B'(0,-3)\), \(C'(0,-5)\)
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a right triangle with a 60-degree angle, hypotenuse labeled x, vertical…
\(x = 10,y = 5\)
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you start at (10, 3). you move up 3 units. where do you end?
$(10, 6)$
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write the coordinates of the vertices after a dilation with a scale fac…
\(J'(-9,-6)\), \(K'(-3,-6)\), \(L'(-3,6)\), \(M'(-9,6)\)
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a rectangle has a height of $4w^3$ and a width of $5w^2 - 3w - 4$. expr…
\(20w^{5}-12w^{4}-16w^{3}\)
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a hexagon divided into six equal triangles, all shaded. then a fraction…
$\frac{6}{6}$ = 1
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write the coordinates of the vertices after a dilation with a scale fac…
\(P(-12,-6)\), \(Q(4,-6)\), \(R(-4,-4)\)
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can the following quadrilateral be proven to be a parallelogram based o…
B. Yes. It can be proven because both pairs of opposite sides are congruent.
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can the following quadrilateral be proven to be a parallelogram based o…
A. Yes. It is a parallelogram because both pairs of opposite angles are congruent.
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write the coordinates of the vertices after a dilation with a scale fac…
\(Q'(-6,-8)\), \(R'(-2,-8)\), \(S'(0,10)\)
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write the coordinates of the vertices after a dilation with a scale fac…
\(Q(-8,-8)\), \(R(-8,8)\), \(S(8,-8)\)
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7-7. are the two triangles below congruent? make a sketch of both trian…
The two triangles are not congruent.
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choose all of the parallelograms.
Blue square, yellow parallelogram - like shape, orange parallelogram - like shape, purple parallelogram - like shape.
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consider a triangle abc like the one below. suppose that a=37, b=35, an…
\(A = 130.0^{\circ}\), \(B = 46.5^{\circ}\), \(C = 3.5^{\circ}\)
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3(x + 8) > 51 options: - ( x < 3 ) (red, triangle) - ( x > 9 ) (blue, d…
\( x > 9 \) (the blue option with the diamond: \( x > 9 \))
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consider a triangle abc like the one below. suppose that a=60°, b=22, a…
\( B = 20^{\circ}\), \(C = 100^{\circ}\), \(a\approx56.0\)
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consider a triangle abc like the one below. suppose that a = 60°, b = 2…
\(B = 20.0^{\circ}\), \(C = 100.0^{\circ}\), \(a = 56.0\)
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in the diagram, which is not drawn to scale, g is the incenter of △def.…
\(22\)
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consider a triangle abc like the one below. suppose that a = 36, b = 63…
\(A = 33.9^{\circ}\), \(B = 77.5^{\circ}\), \(C = 68.6^{\circ}\)
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7-6. the two triangles below are congruent. describe a sequence of rigi…
A sequence of rigid transformations is a rotation (e.g., \(90^{\circ}\) clockwise) followed by a translation. The congruence statement is \(\triangle VWZ\cong\triangle XZY\)
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two airplanes leave an airport at the same time. an hour later, the pla…
\(72.7^{\circ}\)
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question 2 a. on a coordinate plane (graph paper), create $\\triangle l…
By choosing coordinates \( L=(2,5) \), \( M=(4,2) \), \( N=(2,2) \), \( Q=(2,3) \), \( R=(\frac{8}{3},2) \) and verifying slopes (both \( \frac{-3}{2} \)), we confirm \( QR\parall…
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laura wants to know the length of a tunnel built through a mountain. to…
\(262.3\)
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solving a word problem using o airplanes leave an airport at the same t…
\(63.9^{\circ}\)
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draw two different triangles that could be used to find the slope of th…
$\frac{4}{5}$
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the triangle congruence conditions asa and saa determine congruence bet…
\(26.4\)
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20) (right triangle with right angle, 60° angle, hypotenuse 16, legs x …
\(x = 8\sqrt{3}\), \(y = 8\)
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19) 45° 6 90° y x
\(x = 3\sqrt{2}\), \(y = 3\sqrt{2}\)
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when a figure undergoes a reflection, it changes (1 point) both positio…
both position and orientation
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how does a dilation transformation compare to translations, rotations, …
The option with the blue dot (the first option: "Dilation transformations are the only ones that do not maintain the same side lengths")
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11. a triangular pyramid has faces that are all equilateral triangles. …
The surface area of the pyramid is \(256\sqrt{3}\mathrm{cm}^{2}\approx443.4\mathrm{cm}^{2}\)
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build your skills 10 find the total surface area of a square pyramid wi…
The total surface area of the square - pyramid is \(336\space cm^{2}\)
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the tire on sallys car has a diameter of 2 feet. what is the tires radi…
1
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draw two different triangles that could be used to find the slope of th…
The slope of the line is $\frac{5}{2}$. Two triangles can be formed by the points (0,0)-(4,0)-(4,10) and (2,0)-(2,5)-(6,5)-(6,15) (simplified as right triangles with rise over run…
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the navigator on the ship uses a compass to draw a circle on a nautical…
\(106.81\)
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when it gets hot, children play in lakesides circular water fountain. a…
36
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andrew has a round tablecloth with a radius of 1 yard. what is the tabl…
\(3.14\)
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the vertices of the triangles are located as follows: upper a at left p…
Translate the dilated triangle so one of its angles exactly matches the corresponding angle in the original triangle, repeat using a different pair of angles.
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the round temperature dial on a thermostat has a radius of 3 centimeter…
\( 28.27 \)
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how can a similarity transformation be used to determine that the aa cr…
Translate the dilated triangle so one of its angles exactly matches the corresponding angle in the original triangle; repeat using a different pair of angles.
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the floor of a round hut has a diameter of 4 meters. what is the floor’…
\(12.57\)
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in the circus, a leopard has been trained to jump through a ring of fir…
\(12.57\)
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kiara is using a compass to navigate back to base camp. the compass has…
12.56
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18) 2√6 (right - angled isosceles triangle with one angle 45°, hypotenu…
\(x = 2\sqrt{3}\), \(y = 2\sqrt{3}\)
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explain how the sas criterion can be used to prove similarity in two tr…
The third option (the one with the text "If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are…
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the floor of a round hut has a radius of 2 yards. what is the floors ar…
\(12.57\)
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anthony plays a bass drum that has a diameter of 8 inches. what is the …
4
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when laid flat, a round parachute has a diameter of 10 meters. what is …
5
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what is the missing length? area = 57.195 cm² 12.3 cm y = centimeters s…
\(9.3\)
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choose the line segments.
The first (upper - left) and the fourth (lower - left) figures are line segments.
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which of the following triangles would lie on the line graphed below? (…
The Middle Triangle (legs 2 and 1)
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similar scalene triangles are drawn on a coordinate plane. one triangle…
18
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which of the following triangles would lie on the line graphed below? (…
The rightmost triangle (with sides 4 and 2)
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how can you find the area of the shaded polygon? i can ? the area of th…
A. add
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parts of linear equations(a1.3a) 9. find the slope and y-intercept. the…
$m = 1$, $b=-1$ ### Problem 12:
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write a proof of the polygon interior angle - sum theorem. the sum of t…
To prove the Polygon Interior Angle - Sum Theorem (the sum of the interior angles of a convex \( n \)-gon is \( 180^{\circ}\cdot(n - 2) \)): 1. **Select a Vertex in the Convex \( …
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question estimate the measure of ∠wxy to the nearest 10°. answer attemp…
80°
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paul says he can determine the area of the polygon shown by adding the …
Both Paul and Rima are correct.
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miracle says she can find the area of the same polygon by thinking of i…
18
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first, find the area of the rectangle. area of rectangle = 21 square un…
4.5
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analia says she can find the area of the polygon shown by adding the ar…
18
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find an equation for the hyperbola whose graph is below.
$\frac{(x-4)^2}{16} - \frac{y^2}{20} = 1$
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the ratio of a circles radius to its diameter is always 1 to 2. in math…
12
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ethan is proving that the slope between any two points on a straight li…
Statement: Slope from \(Q\) to \(R=\frac{E'}{F'}\) Reason: \(\frac{E}{F}=\frac{E'}{F'}\)
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1. vocabulary how do you know if a situation represents a proportional …
Yes, the cost \(y\) and the number of postcards \(x\) are proportional. The equation is \(y = 0.35x\)
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use vertices and asymptotes to graph the hyperbola. locate the foci and…
Correct graph: B Foci: $(0, 2\sqrt{10}), (0, -2\sqrt{10})$ Asymptotes: $y=\pm\frac{1}{3}x$
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the red and the blue triangles drawn on the line are similar. what equa…
\(\frac{\text{rise}_1}{\text{run}_1}=\frac{\text{rise}_2}{\text{run}_2}\)
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the area of a square frame is 55 square inches. find the length of one …
7
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the area of a rectangle is 70 m², and the length of the rectangle is 11…
Length: \( 10 \) m, Width: \( 7 \) m
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the area of a rectangle is 65 m², and the length of the rectangle is 3 …
Length: \( 10 \) m, Width: \( 6.5 \) m
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3. which of the following triangles would not lie on the same straight …
The Top Triangle
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4 which of the following triangles would not lie on the same straight l…
1. The top-left triangle (4,2) 2. None (all 3-5 scaled) 3. The bottom triangle (2,3) 4. The top triangle (4,4)
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11. find the measure of each missing angle. 35° 2 1 m∠1 = m∠2 = m∠3 = m…
\(m\angle1 = 45^{\circ}\) \(m\angle2 = 10^{\circ}\) \(m\angle3 = 45^{\circ}\) \(m\angle4 = 135^{\circ}\) \(m\angle5 = 45^{\circ}\)
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question 9 write the equation of a parabola whose directrix is ( x = -2…
\((y + 7)^2=-4(x + 3)\)
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12. what is the image point of (-6, 7) after the transformation $r_{y=-…
\((-2,9)\)
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11. find the measure of each missing angle. m∠1 = ______ m∠2 = ______ m…
\(m\angle1 = 45^{\circ}\) \(m\angle2 = 10^{\circ}\) \(m\angle3 = 35^{\circ}\) \(m\angle4 = 90^{\circ}\) \(m\angle5 = 45^{\circ}\)
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12. what is the image point of $(-6, 7)$ after the transformation $r_{y…
For problem 12: \((-2,9)\) For problem 13: \((-6,-21)\)
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segmento\\overline{bd} segmento biseca\\angle abc. resolver para incógn…
\(7.5\)
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haz clic y arrastra para dibujar un rayo desde el punto amarillo. para …
\(2(\text{m}\angle BCE)=\text{m}\angle BCD\)
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se te muestra∠ bc ddebajo de cuya medida está8 2°.dibuja una bisectriz …
Dibuja el rayo \(CE\) de modo que \(m\angle BCE = 41^{\circ}\) y \(m\angle DCE = 41^{\circ}\) (ya que \(41^{\circ}+41^{\circ}=82^{\circ}\)).
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haz clic y arrastra para dibujar un rayo desde el punto amarillo. para …
\(m\angle ABD = m\angle CBD\)
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directions: read and write answer in word, fraction and ratio forms. 1.…
1. Word: two to seven; Fraction: $\frac{2}{7}$; Ratio: 2:7 2. Word: four to twenty-one; Fraction: $\frac{4}{21}$; Ratio: 4:21 3. Word: four to three; Fraction: $\frac{4}{3}$; Rati…
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se te muestra \\( \\angle un bc \\) debajo de cuya medida está 74°. dib…
Se debe dibujar un rayo desde el vértice \( B\) de modo que forme dos ángulos de \( 37^{\circ}\) cada uno con los lados \( BA\) y \( BC\) del ángulo \( \angle ABC\).
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haz clic y arrastra para dibujar un rayo desde el punto amarillo. para …
\(2(m\angle LMO)=m\angle LMN\)
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proportional relationships use the clues to determine which student cre…
1st rectangle: Carlos 2nd rectangle: Kaylee 3rd rectangle: Tran 4th rectangle: Nikki
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(speaking of icebergs) ships which were going westward ahead of the tit…
Warnings should be taken seriously when it comes to safety.
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se te muestra∠ l mndebajo de cuya medida está6 8°.dibuja una bisectriz …
Dibuja un rayo desde el vértice \( M\) de modo que forme un ángulo de \( 34^{\circ}\) con cada uno de los lados \( ML\) y \( MN\) del ángulo \( \angle LMN\).
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haz clic y arrastra para dibujar un rayo desde el punto amarillo. para …
\(\boldsymbol{m\angle HGI=\frac{1}{2}(m\angle FGH)}\)