Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
8 numeric 1 point solve for x. type in your numerical answer only, no d…
8
-
6. in the construction of a regular hexagon, if you connect every other…
(2) Two equilateral triangles
-
what is the area of rectangle bcde? area = square units
# Explanation: ## Step1: Identify coordinates of vertices First, we find the coordinates of the vertices of the rectangle. From the graph: - \( B \): Let's assume the grid is 1 un…
-
chaya has a map that shows the lengths of some hiking trails. the scale…
\(0.5\)
-
determine if each pair of lines is parallel. see example 2 graph with l…
Lines \( j \) and \( k \) are parallel. ### 21. Determine if lines \( m \) and \( n \) are parallel
-
example diagram (3x + 10)° (2x + 30)° angle relationship consecutive ex…
Let's solve for \( x \) in each diagram (A, B, C) one by one. ### Diagram A: Vertical Angles Vertical angles are equal, so we set the two angle expressions equal to each other. ##…
-
circle the complete sentence. brings lunches at recess sunny. my cat li…
My cat likes to play with her toy.
-
2. look at the values in the table. what do you the corresponding dista…
10 ### Part (b)
-
6 numeric 1 point solve for x. type in your numerical answer only, no d…
12
-
after bisecting an angle, ann has two new angles, each with a measure o…
\(117.2\)
-
5 multiple choice 1 point classify the angle pair that is displayed. di…
consecutive interior (the option "consecutive interior")
-
after bisecting an angle, turner has two new angles, each with a measur…
\(26\)
-
which angles are supplementary to each other? select all that apply. ∠c…
\(\angle FBE\) and \(\angle JBF\), \(\angle DEA\) and \(\angle CED\)
-
graph the solution to the inequality. (-5sqrt{x} - 2 < -10)
The solution to the inequality is \(x > 6\), and on the number line, we draw an open circle at \(6\) and shade to the right.
-
if an angle is bisected to form two new 24.8° angles, what was the meas…
\( 49.6 \)
-
4 numeric 0.5 points what is the measure of angle 2? type in your numer…
102
-
jack measured his house and made a scale drawing. he used the scale 8 c…
16
-
if an angle is bisected to form two new 35.1° angles, what was the meas…
\( 70.2 \)
-
5. which statement about an equilateral triangle constructed using comp…
(2) All three sides are radii of congruent circles
-
oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ ### Part (b)
-
an angle is bisected, forming two new angles. each new angle has a meas…
\(44\)
-
3 numeric 0.5 points what is the measure of angle 1? type in your numer…
78
-
name the plane that is highlighted in the diagram below.
Plane QRST (or other valid names using three non - collinear points from Q, R, S, T, e.g., Plane QRS, Plane QRT, Plane QST, Plane RST)
-
if an angle measuring 8° is bisected to form two new angles, what is th…
4
-
what is the name of this figure? u t
Ray UT (or $\overrightarrow{UT}$)
-
13. look for relationships what are the equations of lines m and q? (di…
Equation of line \( m \): \( \boldsymbol{y = \frac{5}{3}x - \frac{8}{3}} \) (or \( 5x - 3y = 8 \)) Equation of line \( q \): \( \boldsymbol{y = -\frac{3}{5}x + \frac{36}{5}} \) (o…
-
2 numeric 0.5 points what is the measure of angle 1? type in your numer…
93
-
what is the name of this figure?
Segment \( DE \) (or Line segment \( DE \), or \( \overline{DE} \))
-
circle the correct verb. i loses lost my purse.
lost
-
after bisecting an angle measuring 43.2°, matthew has two angles. what …
\( 21.6 \)
-
what is the name of this figure? figure shows a line with points v (lef…
Line \( VU \) (or Line \( UV \))
-
which sequences of transformations map abc onto abc? select all that ap…
The correct sequence (from re-evaluation, assuming coordinate adjustments) is: - a reflection across the \( x \)-axis followed by a rotation \( 90^\circ \) counterclockwise around…
-
what is the name of this figure?
Line \(UV\) (or Line \(VU\))
-
the scale drawing shows the dimensions of a motel. the scale is shown i…
(for the multiplier): 5
-
after bisecting an angle measuring 44°, miguel has two angles. what is …
\( 22 \)
-
what is the name of this figure?
Ray \( DC \) (or \( \overrightarrow{DC} \))
-
what is the name of this figure?
Line segment HI (or $\overline{HI}$)
-
1 numeric 0.5 points what is the measure of angle 2? type in your numer…
87
-
4 a. reflect quadrilateral a over the x-axis. label the image quadrilat…
To solve the problem, follow these steps: 1. **Reflect Quadrilateral A over the \(x\) - axis to get B**: - For each vertex \((x,y)\) of A, the corresponding vertex of B is \((x, -…
-
intro to algebra and geometric proof. if free response this gets close …
\( m\angle 2 + m\angle 3 = 90 \) is proven by Angle Addition Postulate, given \( m\angle NLM = 90 \), and Substitution (using \( m\angle 1 = m\angle 3 \)).
-
6. if δnml ~ δsrl, find the value of x. (diagram with points m, n, l, s…
\(x = 5\)
-
12 numeric 1 point solve for x. type in your numerical answer only, no …
17
-
from unit 1, lesson 6 5 the point (-2, -3) is rotated 90° counterclockw…
C. (3, -2)
-
11 multiple choice 1 point classify the angle pair that is displayed. (…
corresponding (the option with "corresponding" text)
-
$\\overleftrightarrow{uv} \\perp \\overleftrightarrow{vw}$ and $\\overl…
The reason for step 6 is that if two angles have equal measures, they are congruent. Among the given options, the appropriate choice is based on the fact that \( m\angle UVW = m\a…
-
solve for x and graph the solution on the number line below: ( 20 < 5x …
Inequality Notation: \(4 < x < 12\) Number Line: Open circles at 4 and 12, with a line connecting them (representing all real numbers between 4 and 12).
-
two-column proofs (continued) 4. fill-in the statements and reasons for…
The completed two - column proof is as shown in the above table.
-
two w - shaped figures with labeled points: left figure has points a, b…
15
-
what is the name of this figure?
Ray (specifically, the ray can be named as \(\overrightarrow{QP}\) where \( Q \) is the endpoint and it extends through \( P \) infinitely)
-
two angles that add to 180° are called: supplementary angles acute angl…
Supplementary angles
-
multiple-choice question what is ag? 30 60 not enough information
Not enough information
-
two angles that share a side are called: adjacent angles vertical angle…
A. adjacent angles
-
9. are lines h and j perpendicular? check answer
No, lines h and j are not perpendicular because the product of their slopes (2 and -1) is -2, not -1 (which is required for perpendicular lines).
-
which word describes the distance across a circle, through the center? …
C. diameter
-
multiple-choice question so....how long is ab? 6 12 not enough informat…
Not enough information
-
8. are lines n and k perpendicular?
Yes, lines n and k are perpendicular because the product of their slopes is - 1.
-
find a simplified expression to represent the area of the triangle. the…
The expression is \( 4x^{2}+22x - 12 \) \( \text{cm}^2 \), so the boxes are filled with \( 4 \), \( 22 \), and \( -12 \) respectively.
-
1 cm 4 cm 6 cm find the surface area of the prism using the net. what i…
\(68\)
-
6. are lines g and n parallel? check answer
No, lines g and n are not parallel because their slopes are not equal (slope of g is -1 and slope of n is 1).
-
solve for x and graph the solution on the number line below. 6 > 4x - 6…
Inequality Notation: \( x < 3 \) or \( x > 7 \) For the number line: Plot an open circle at 3 and shade to the left, and plot an open circle at 7 and shade to the right.
-
what is ( mangle pqr ) in radians? diagram: circle with center ( q ), p…
\( \frac{7\pi}{20} \) radians (corresponding to the option " \( \frac{7\pi}{20} \) radians")
-
an angle measures 80° less than the measure of its complementary angle.…
5° and 85°
-
1 cm 6 cm 4 cm 6 cm 1 cm find the surface area of the prism using the n…
48
-
solve for ( x ) and graph the solution on the number line below. ( 4x -…
Inequality Notation: \(x \leq 7\) or \(x \geq 12\) For the number line: - Plot a closed circle at 7 and shade to the left. - Plot a closed circle at 12 and shade to the right.
-
5. if δklj ~ δvwu, find the value of x. diagram: top triangle k-l-j wit…
\(x = 17\)
-
the area of a rectangle is 21 yd², and the length of the rectangle is 1…
Length : \( 6 \) yd Width : \( 3.5 \) yd (or \( \frac{7}{2} \) yd)
-
the measure of an angle is two times the measure of its complementary a…
The measure of the complementary angle is $30^\circ$ and the measure of the angle is $60^\circ$.
-
6 the ratio of the lengths of two sides of a rectangle is 2:3. if the s…
C. 18 cm
-
the measure of an angle is seventeen times the measure of its complemen…
\( 5^\circ \) and \( 85^\circ \)
-
what is the name of this figure?
Line segment \( PQ \) (or \( QP \))
-
5 if the scale on a map is 1:100,000 and the distance between two towns…
C. 200 miles
-
solve for x and graph the solution on the number line below. -9 ≤ -3x +…
Inequality Notation: \(x \leq 5\) or \(x \geq 8\) For the number line: Plot a closed circle at 5 and shade to the left, and plot a closed circle at 8 and shade to the right.
-
a right triangle has side lengths 7, 24, and 25 as shown below. use the…
\( \tan A=\frac{7}{24} \), \( \sin A=\frac{7}{25} \), \( \cos A=\frac{24}{25} \)
-
what is the value of p?
\(103^\circ\)
-
what is the value of s?
\(32\)
-
1 cm 4 cm 6 cm find the surface area of the prism using the net. what i…
8
-
multiple-choice question what do you think? are these congruent line se…
C. Yes, they are the same length (assuming the options are labeled A, B, C as per the order: A. No, they have different lengths; B. No, they cannot go in different directions.; C.…
-
the measure of an angle is fifty - nine times the measure of its supple…
\( 3^\circ \) and \( 177^\circ \)
-
6 the ratio of the lengths of two sides of a rectangle is 2:3. if the s…
C. 18 cm
-
1 cm 4 cm 6 cm find the surface area of the prism using the net. what i…
The area of the top and bottom rectangles is $\boldsymbol{8}$ cm². (For surface area: front/back (8) + side (12) + top/bottom (8) = 28? Wait, no—wait, maybe front/back is 8 each? …
-
the measure of an angle is 18.1°. what is the measure of its complement…
\(71.9^\circ\)
-
2 hai says that every net for a prism is made up of exactly six faces. …
Hai’s statement is incorrect because prisms can have different numbers of faces. A prism has 2 congruent polygonal bases and \(n\) lateral faces (where \(n\) is the number of side…
-
given rectangles abcd and abcd, describe the transformation that takes …
C. a \(90^\circ\) counterclockwise rotation about the origin and a translation of 6 units to the right (Note: The option labels are not given, but based on the options provided, t…
-
13. (3x - 16)° (6x + 7)° (11y - 32)° l m 14. note: j || k and l || m
\( x = 21 \), \( y=15 \)
-
elijah wants to make a pennant for his school’s football team. the penn…
\( \frac{1}{5} \) (or 0.2)
-
12. (9x - 2)° (10y + 6)° (5x + 54)° l m
\(x = 14\), \(y = 5\)
-
rectangle a has side lengths of 6 cm and 3.5 cm. the side lengths of re…
A. 3 cm and 1.75 cm, E. 5.25 cm and 9 cm
-
49 the goal of a video game is to find hidden gems on a number line. 49…
\( 3\frac{1}{2} \)
-
the perimeter formula for a rectangle is 2l + 2w, where l is the length…
1. \( 2(8x - 1) + 2(2x + 4) \) 2. \( 16x - 2 + 4x + 8 \) 3. \( 20x + 6 \)
-
solve for x and graph the solution on the number line below. if possibl…
Inequality Notation: \(x < -5\) or \(x \geq -3\) For the number line: - For \(x < -5\), draw an open circle at \(-5\) and shade to the left. - For \(x \geq -3\), draw a closed cir…
-
b. you could cut the cube in the example along other edges to make a ne…
To draw another net for a cube, you can use the following arrangement (a "4 - 1 - 1" - type net, though the labeling here is for clarity): 1. Draw **Square 1** (representing one f…
-
11. scale factor = 1/7 35 ft 287 ft original diagram: original rectangl…
The scaled width is 5 ft and the scaled height is 41 ft.
-
name the plane that is highlighted in the diagram below.
plane MNOS (or other valid names like plane MQTS, plane MNO, etc., but the most appropriate based on the diagram is plane MNOS)
-
49 complete the statement. 49 on a number line, the point for \\(\\frac…
0 to 1
-
11. two parallel lines ( l ) and ( m ) are cut by a transversal, formin…
If we were to find \( x \) and \( y \), \( x = 9 \) and \( y = 12 \)
-
1. name the shape. image of a right triangle ______ 2. what is a parall…
Right - angled triangle (or Right triangle) ### Question 2
-
3. line l is the segment bisector of jk. find mk (diagram: segment jk w…
\( 9 \)
-
5 on a map with a scale of 1 inch to 12 feet, the area of a restaurant …
I disagree with Han. The linear scale is \(1\) inch to \(12\) feet, so the area scale is \(1\space in^2\) to \(12\times12 = 144\space ft^2\). The actual area should be \(60\times1…
-
name the plane that is highlighted in the diagram below.
# Explanation: ## Step1: Recall how to name a plane A plane can be named by three non - collinear points on the plane or by a single letter (if labeled), or by using the letters o…
-
the economy of the southern colonies depended on growing cash crops to …
Opportunity (select the circle under "Opportunity" for this row) ### For the second factor: "Many indentured servants in the colonies died of disease before their contracts ended."