Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
6. which of the following is not a right triangle? a. a triangle with a…
a. A triangle with angles 60°, 60°, and 60°
-
there is a geometric figure composed of two right triangles. the left r…
$\sqrt{42}$
-
5. the space diagonal of a cube is measured as $20\\sqrt{3}$ cm. what i…
d. 20 cm
-
solve for x to the nearest tenth.
4.5
-
2. what is ( mangle c )? enter your answer in the box ( mangle c = )
\(60^\circ\)
-
1. for what value of x is line m parallel to line n? enter your answer …
\( x = 9 \)
-
which translation maps the graph of the function $f(x)=x^2$ onto the fu…
right 3 units, down 3 units
-
find the measure of the inscribed angle
$83^\circ$
-
1. calculate ( ap ) if the perimeter of ( \triangle avp ) is 43 cm. 3. …
s: 1. \( AP = \boldsymbol{15} \) cm 3. \( m\angle T = \boldsymbol{58.5^\circ} \) (or \( 58^\circ 30' \)) 4. Width of the river: \( \boldsymbol{65} \) ft (assuming similar triangle…
-
4. what is the measure of $\\angle 4$ if $\\angle 4 = 3a + 40$ and $a =…
d. 104 degrees
-
14. (image of triangles)\\(\\text{(a)} \\) triangles \\(abc\\) and \\(d…
A. \((5, 7)\) (Note: For the triangle congruence question, the text is a bit unclear due to possible OCR errors. If you can provide a clearer version of the triangle - related que…
-
2. in a right triangle with a hypotenuse of 13 units and one leg of 12 …
c. 5 units
-
1. if one leg of a right triangle is 5 units and the hypotenuse is 13 u…
a. 12 units
-
15. what is the distance between the points (0, 0) and (3, 4)? a. 7 b. …
c. 5
-
given ac = ab + bc segment addition assumption bd = bc + cd segment add…
1. Given (first dashed box): $\boldsymbol{AC=BD}$ 2. Assumption (second dashed box): $\boldsymbol{AB eq CD}$ 3. Subtraction property step (third dashed box): $\boldsymbol{AB e…
-
14. which real - world scenario can use the distance formula? a. planni…
a. Planning a road trip
-
solve for the variable 6. triangle with segments labeled 12, 8, and x, …
\( x = 18 \)
-
13. what are the four sections of a coordinate plane called? a. regions…
c. Quadrants
-
prove: ( x = 4 ) convert the flow chart proof into a paragraph proof. i…
It is given that $\angle ABE$ and $\angle DBC$ are vertical angles. By the **vertical angles theorem**, $\angle ABE$ is congruent to $\angle DBC$. By the definition of congruence,…
-
11. a hiker starts at (2, 3) and ends at (6, 7). using the distance for…
a. $\sqrt{32}$ units
-
type the correct answer in the box. use numbers instead of words. model…
2
-
10. which axis is the vertical axis on a coordinate plane? a. x - axis …
b. y-axis
-
8. in a triangular park, two sides measure 9 meters and 12 meters. if t…
d. 15 meters
-
7. if points are plotted at (1, 2), (5, 2), and (3, 4), which tool in g…
a. Polygon tool
-
in the figure, there are line segments and triangles. the length of my …
\( \boldsymbol{6} \)
-
13. use the induction proof to reverse the problem below. prove: ab ≅ d…
A. Angle Bisector Definition ### Question 14 (Proving \( \triangle EBA \cong \triangle EDC \) by AAS):
-
comparing the difference consider the number line with the plotted squa…
$\boldsymbol{\sqrt{11}}$ and $\boldsymbol{\sqrt{14}}$ (the first option)
-
11. (image of a geometric figure with parallel lines, transversals, seg…
\( x = \frac{54}{7}\) (or approximately \( 7.71 \))
-
solve for the variable. 10.
\(x = \frac{27}{4}\) (or \(x = 6.75\))
-
figure abcd is a quadrilateral, where $\\triangle abd \\cong \\triangle…
$\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm (Place 8 cm on the $\overline{BC}$ dashed box, 5 cm on the $\overline{CD}$ dashed box)
-
figure (abcd) is a quadrilateral, where (\triangle abd cong \triangle c…
$\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm
-
△jkl and △mno are shown below. which statement is true? △jkl is similar…
There is not enough information to determine whether the triangles are similar.
-
△def and △jkl are shown below. which statement is true? △def is similar…
\(\triangle DEF\) is similar to \(\triangle JKL\).
-
if \\(cos x = \\frac{1}{5}\\), then what is the positive value of \\(\t…
\(\frac{\sqrt{6}}{3}\)
-
1. list the angles of each triangle in order from smallest to largest. …
\(\angle C\), \(\angle D\), \(\angle E\) (or \(x\), \(3x\), \(105^\circ\)) ### Problem 1b:
-
120 meters 60 meters 30 meters 20 meters what is the area of this trape…
8700 square meters
-
what is the area of this trapezoid? square meters
6400 square meters
-
4. the lengths of two sides of a triangle are given. find the range of …
The range of possible lengths for the third side is \(11\) inches \(<\) third side \(< 21\) inches.
-
10 triangle oef is shown. what is the measurement of \\( \\angle oef \\…
40 degrees (the option with 40 degrees)
-
14 lines t and s are parallel. given that m∠5 = 125°, what is the measu…
\( 55^\circ \)
-
13. in the diagram, it is given that $\\angle 2 \\cong \\angle 5$. line…
Alternate Interior Angles Theorem
-
12. in the diagram, ∠3 and ∠4 share a common side and form a straight l…
Linear Pair Postulate
-
11. if $\\angle 1$ and $\\angle 7$ in the diagram are congruent, which …
Alternate Exterior Angles Theorem
-
10. in the diagram, lines f and g are parallel and cut by transversal h…
D. $\angle4$ and $\angle5$ (assuming the last option is D; if options are labeled as given, the correct pair is $\angle4$ and $\angle5$ from the provided choices, corresponding to…
-
9. which statement about vertical angles in this diagram is true? optio…
D. ∠2 and ∠4 are vertical angles (assuming the last option is D; if the options are labeled differently, adjust the label but the angle pair is ∠2 and ∠4)
-
8. which of the following pairs represents corresponding angles? option…
B. \( \angle 1 \) and \( \angle 5 \)
-
11. (image of a diagram with parallel lines and transversals, showing s…
\(x = \frac{54}{7}\) (or approximately \(7.71\))
-
Question was provided via image upload.
To solve this proof about the Same - Side Interior Angles Theorem, we analyze each missing reason: ### Step 1: Reason for Statement 2 ($\angle1\cong\angle5$) When two parallel lin…
-
in the figure, two angles are marked congruent. which theorem justifies…
B. Alternate Exterior Angles Converse Theorem
-
which of the following statements is false? a. vertical angles are alwa…
b. When a pair of lines is cut by a transversal, the corresponding angles are always congruent.
-
Question was provided via image upload.
The correct option for the missing reasons to complete the proof is: (1) Corresponding Angles Theorem, (2) Transitive Property of Congruence (assuming the option with these two as…
-
in the figure, the measure of angle 8 is 74°. which angle needs to be e…
angle 1
-
in the figure shown, ab intersects cd at point e. 2. find the measure o…
124 degrees
-
in this figure, line x is parallel to line y and m∠1 = 64°. what is the…
116 degrees (the option with 116 degrees)
-
4. determine the number of symmetry lines and the number of times the f…
### Part a # of symmetry lines: \(\boldsymbol{2}\) # of rotations: \(\boldsymbol{2}\) (assuming rotation by 180 and 360, but the non - trivial is 1, but maybe the problem counts 2…
-
3. graph $overline{gh}$ with vertices g(5,2), and h(-1,0) and its image…
\(G(5,2)\to G'(-5,-2)\to G''(2,5)\) \(H(-1,0)\to H'(1,0)\to H''(0,-1)\)
-
17. ( mangle 9 = (3x + 12)^circ )( mangle 10 = (x - 24)^circ )
\( x = 48 \)
-
select the correct figure. which figure is shaded to represent \\(\frac…
Figure A
-
which segment is adjacent to $\\angle y$? answer $\\overline{yf}$ $\\ov…
$\overline{YF}$
-
2. graph quadrilateral wxyz with vertices w(-4, 0), x( 1,2), y(-1,4), a…
\(W(-4,0)\to W'(-6,3)\to W''(-6,-5)\) \(X(1,2)\to X'(-1,5)\to X''(-1,-7)\) \(Y(-1,4)\to Y'(-3,7)\to Y''(-3,-9)\) \(Z(-5,2)\to Z'(-7,5)\to Z''(-7,-7)\)
-
figure l figure m which rectangle is shaded to represent \\(\\frac{1}{4…
To solve the problem, we analyze the fraction of the shaded area relative to the whole rectangle: 1. **Understand \(\boldsymbol{\frac{1}{4}}\) of a rectangle’s area**: A region re…
-
for the rhombus below, find the measures of $\\angle 1$, $\\angle 2$, $…
$m\angle1 = 90^\circ$ $m\angle2 = 37^\circ$ $m\angle3 = 53^\circ$ $m\angle4 = 37^\circ$
-
the figure is shaded to represent a fraction of a whole. which fraction…
B. \( \frac{3}{4} \)
-
incorrect your answer is incorrect. - ( mangle 1 ): your answer is inco…
$m\angle1 = 28.5^\circ$ $m\angle2 = 28.5^\circ$ $m\angle3 = 61.5^\circ$ $m\angle4 = 61.5^\circ$
-
henry wants to determine the lateral surface area of the triangular pri…
\(72\)
-
incorrect your answer is incorrect. - ( mangle 1 ): your answer is inco…
$m\angle1 = 57^\circ$, $m\angle2 = 33^\circ$, $m\angle3 = 33^\circ$, $m\angle4 = 57^\circ$
-
1. which of the following rectangles are congruent? a. rectangle 1 b. r…
D. Rectangle 1 and 3
-
for the rhombus below, find the measures of $\\angle 1$, $\\angle 2$, $…
$m\angle1 = 116^\circ$ $m\angle2 = 32^\circ$ $m\angle3 = 116^\circ$ $m\angle4 = 32^\circ$
-
in the rectangle below, $ae = 3x + 5$, $ce = 5x - 1$, and $mangle ebc =…
$BE = 14$ $m\angle ECD = 33^\circ$
-
in the rectangle below, $su = 6x - 2$, $rv = 17$, and $m\\angle svt = 6…
$x = 6$ $m\angle VUR = 59^\circ$
-
section 2.1 classwork write each sentence as an inequality 1 a number x…
1. $x > 3$ 2. $n + 7 \leq 9$ 3. $25 \leq 4y - 8$ 4a. Closed circle at 4, shade right 4b. Open circle at -3, shade left 5. No, $r=2$ is not a solution 6. | Value of $x$ | $3x \leq …
-
microsoft word 365 name: date: period: part i: multiple choice (15 ques…
C. Layout ### Question 2
-
2. l1: (0, 3) and (3, 1) l2: (-1, 4) and (-7, -5) parallel perpendicula…
Slope L1 = $-\frac{2}{3}$ Slope L2 = $\frac{3}{2}$ The lines are Perpendicular.
-
slope l1 = 3. l1: (2, 1) and (5, -7) slope l1 = 4. l1: (1, 0) and (2, 0…
Slope L1 = $-\frac{8}{3}$, Slope L2 = $-2$, Relationship: Neither ### Problem 4:
-
graph the line $y = -1$ on the axes shown below. type of line: choose o…
Type of line: Horizontal The line is a horizontal straight line passing through the point $(x, -1)$ for all values of $x$ between -10 and 10 on the provided coordinate grid.
-
write the equation of the line graphed below in simplest form.
$x = -4$
-
which figure is described below? all points in space 4 units from a poi…
Sphere
-
which figure is described below? all points in a plane equidistant from…
1 Line (the third option with the single red line between the two parallel lines)
-
complete the equation of this circle: (x - 3)^2 + (y - 2)^2 = ?
\(9\)
-
complete the equation of this circle: $(x - ?)^2 + (y - \\quad)^2 = \\q…
\((x - 4)^2+(y - 3)^2 = 16\) (So the values are 4, 3, 16)
-
write an equation for each line in slope - intercept form. the equation…
The equation for Line I is \(y=\frac{1}{2}x + 3\) The equation for Line II is \(y=\frac{1}{2}x-2\)
-
date: describe π as ratio of \\(\\frac{c}{d}\\) skills practice directi…
ing the questions: #### 1. - A ratio is a comparison of two quantities by division. In the last column, we are comparing the circumference (\( C \)) of the circle to its diameter …
-
circumference and diameter $c = 2\\pi r$ and $c = \\pi d$ 1. if the dia…
The circumference is \( 9\pi\space\text{cm} \) (or approximately \( 28.27\space\text{cm} \) if we take \( \pi\approx3.14 \)). ### Question 2
-
which of the following items is not a cylinder? soda can spray paint ca…
D. Traffic Cone
-
is the red line a radius or diameter of the circle? radius diameter
Radius
-
question 3 of 10 based only on the given information, it is guaranteed …
A. True
-
question 2 of 10 if a point is on the bisector of an angle, then it is:…
A. equidistant from the two sides of the angle.
-
question 1 of 10 what is the distance from point y to \\(\\overleftrigh…
D. 16
-
what is the volume? 72 27 1.5 272
B. 27
-
the volume of this cube is 64 cubed cm. what is the cube’s height? * hi…
B. 4 cm
-
a cubes side length measures 15 inches. what is the surface are of the …
1350 in²
-
find the surface area of the cube. 5 cm
1. $150 \text{ cm}^2$
-
e. circle the figure that is congruent to the first figure. score /1 5i…
E. The 4th triangle (with sides 3 in, 5 in, 7 in) is congruent to the first figure. F. The 3rd triangle (with sides 4 in, 5 in, 6 in and 100° included angle) is similar to the fir…
-
a gloomy breakfast was eaten, and the four remaining dogs were harnesse…
A. dreary
-
ii period 2/5 homework: ratio, proportions, and dilations review questi…
\boxed{\dfrac{2}{1}} (or \boxed{\dfrac{1}{2}} depending on graph, but likely \boxed{2} or \boxed{\dfrac{1}{2}}. Wait, maybe the correct answer is \boxed{\dfrac{1}{2}}. No, I think…
-
5. geometry a. find the perimeter of the rectangle. 12 in 2 in b. find …
A. 28 inches B. Rectangle: 24 square inches; Circle: $81\pi$ square inches; Triangle: 60 square inches C. 420 cubic inches D. 5 inches
-
the area of a rectangle is ( 375 \text{in}^2 ). the ratio of the length…
The length of the rectangle is \( \boldsymbol{25} \) in, and the width of the rectangle is \( \boldsymbol{15} \) in.
-
what does a graph need to have if it continues on infinitely in both di…
A. Arrows
-
q11*. 7322 = 7000 + 300 + ______ q12. ______ is 1000 less than 5838. q1…
Q11: 22 Q12: 4838 Q13: 4094 Q14: 2349
-
find the points on the hyperbola $y^2 - x^2 = 3$ that are closest to th…
The closest points are $(0, \sqrt{3})$ and $(0, -\sqrt{3})$