Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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using algebra to solve for missing measures 10. if ( mangle pqt = 3x + …
The measure of \( \angle SQR \) is \( 119^\circ \) ### Problem 11:
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8) r (right triangle with 42°); 12) triangle with angles ((x+20)^circ),…
For problem 8 (right triangle with angle 42° and right angle, finding angle at R): The sum of angles in a triangle is 180°. So angle at R is \( 180 - 90 - 42 = 48^\circ \). For pr…
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to color the picture above 3) triangle with 65°, 65°, r 4) right triang…
For problem 7 (triangle with angles \(72^\circ\), \(38^\circ\), and angle at \(R\)): The sum of angles in a triangle is \(180^\circ\), so angle \(R = 180 - 72 - 38 = 70^\circ\) (a…
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6) triangle with angles 93°, 53°, and angle at vertex r (to find). 10) …
6) To find the measure of angle \( R \) in the triangle, we use the fact that the sum of the interior angles of a triangle is \( 180^\circ \). Let \( \angle R = x \). Then: \( x +…
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in a circle, the length of an arc intercepted by a central angle is 12 …
1.5
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____ = a movement in the opposite direction that clock hands travel, ci…
counterclockwise (the option with label "counterclockwise")
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7. ∠a and ∠b are complementary angles. if the measure of ∠a is 42°, fin…
The measure of \( \angle B \) is \( 48^\circ \). ### Problem 9: Linear Pair Angles
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point m is the midpoint of (overline{ab}) where (am = 3x + 8) and (mb =…
40
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problems for measure of angle r to color spaces with your desired color…
2) \( 36^\circ \) 3) \( 50^\circ \) 6) \( 34^\circ \) 7) \( 36^\circ \) (assuming the other angle is also \( 72^\circ \), so \( 180 - 72 - 72 = 36 \)) 10) Solve \( x + 2x + 102 = …
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find the boats! use integer coordinates in the table, then press \fire!…
To find the boats, use integer coordinates (e.g., start with (1,1), (2,2), etc.) in the x and y input fields and press "Fire!". Repeat until all boats are located.
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where else? emiliano’s first guess (shown in red) hit part of the long …
\((-2,0)\), \((1,0)\)
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6. ∠1 and ∠2 are vertical angles. if the measure of ∠2 is 105°, find th…
\( 105^\circ \) ### Problem 8:
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which pairs of figures below are congruent?
1. First pair (oval and circle): No 2. Second pair (two triangles): No 3. Third pair (two L - like figures): Yes 4. Fourth pair (two rectangles): No
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directions: find the missing measures in each figure. keep the angle re…
s: 1. \( x = 112^\circ \) 2. \( x = 22^\circ \) 4. \( x = 137^\circ \), \( y = 43^\circ \), \( z = 137^\circ \) 6. \( m\angle1 = 105^\circ \) 8. \( m\angle P = 116^\circ \) 10. \(…
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what is the distance between point l and the origin? 9 units what is th…
To solve the problem of finding how to determine the distance between point \( L \) and point \( M \) using their distances to the origin, we can use the following reasoning: ### …
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2. examine the figure to the right. what angle(s) could the figure be r…
The figure can be rotated by \(90^\circ\), \(180^\circ\), \(270^\circ\), or \(360^\circ\) (the most common answer focuses on \(90^\circ\), \(180^\circ\), and \(270^\circ\) as non …
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vocabulary: • coordinate plane • x-axis • y-axis • quadrants (i, ii, ii…
- Coordinate plane: The entire grid - like graph with x - axis and y - axis. - x - axis: The horizontal (left - right) axis. - y - axis: The vertical (up - down) axis. - Origin: T…
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circle the best synonym for each word. hint: a dictionary might come in…
thin ### 2. muster
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in each figure below, a plane passes through a geometric solid as shown…
The cross - section shape is a rectangle (the last option in the cross - section row for figure (a)).
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circle all of the words. scourrememberprotractorsensationalrewardflee r…
The words to circle are: scour, remember, protractor, sensational, reward, fleet, interrupt
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find the boats! use integer coordinates in the table, then press fire! …
To find the boats, test integer coordinates (e.g., (2,2), (-2,-2), etc.) by entering in the table and pressing "Fire!" until both are hit. (Specific coordinates depend on the game…
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solve the problems for r remaining spaces with y 1) triangle with 85° a…
1) \( 43^\circ \) 5) \( 121^\circ \) (Note: For a triangle, the sum of interior angles is \( 180^\circ \). For problem 1: \( 180 - 85 - 52 = 43 \). For problem 5: \( 180 - 37 - 22…
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repeating patterns that seamlessly align without any g ensuring a flawl…
One real - life application of the Triangle Sum Theorem (which states that the sum of the interior angles of a triangle is \(180^{\circ}\)) is in architecture and construction. Fo…
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in art and design, the triangle sum theorem is helpful in the creation …
One real - life application of the Triangle Sum Theorem is in logo creation. Graphic designers use the theorem to calculate the angles of overlapping triangles in a logo. Since th…
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7. withdrawn withdrawn 8. mutter mutter 9. gawt gaunt 10. vil vile writ…
The shy child remained \circled{withdrawn} during the entire party. (You can also use other spelling words like "mutter", "gaunt", "vile" to create sentences following the same ru…
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mica translated polygon c two units to the right and then reflected the…
Sasha used a reflection across the vertical line \(x = - 1\) (or the line \(x=-1\)) to transform Polygon C to Polygon T.
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figure pqrst shown in the coordinate grid is translated 3 units down an…
A. $\angle S \cong \angle S'$ B. $\overline{PT} \cong \overline{P'T'}$ F. The figures are congruent.
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name: ______ sixth grade circle the best synonym for each word. hint: a…
### Synonym Section (Correcting and Answering) 1. **gaunt**: "gaunt" means very thin, especially because of illness or hunger. "thin" is a synonym. "broke" means having no money, …
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find the boat! use integer coordinates in the table, then press fire! p…
One possible coordinate of the boat is (1,1) (other possible coordinates include (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3) as these are the dot positions in the grid).
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10. a regular polygon has rotation symmetry for an angle of 20°. how ma…
The regular polygon has 18 sides and 18 lines of symmetry.
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quadrilateral wxyz is a reflection of quadrilateral abcd. the lengths o…
\( WX = 4\space\text{cm} \), \( XY = 2\space\text{cm} \), \( YZ = 3\space\text{cm} \), \( ZW = 2\space\text{cm} \) \( m\angle W = 82^\circ \), \( m\angle X = 59^\circ \), \( m\ang…
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2. in the following pair of images, △jkl is a scale drawing of △abc. (△…
The scale factor is $3$. ### Part b: Write an equation relating scale drawing and original figure
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helpful misses grace has made five guesses so far, all misses. that’s a…
The three points of the boat's location are \((1,1)\), \((1,2)\), and \((2,1)\) (or other correct coordinates based on the exact grid interpretation, but this is a likely solution…
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fix any punctuation or capitalization errors below. click \submit answe…
The tourists asked Stoick the Vast for directions: "We've been walking in circles for an hour."
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9. a regular polygon has rotational symmetry for an angle of 18°. how m…
The regular polygon has 20 sides.
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simple & compound sentences practice name: class: 5th date: 9/5/25 dire…
Simple ### Question 12
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8. what are the angles of rotation for a 15-gon? how many line of symme…
The angles of rotation are \( 24^\circ, 48^\circ, \cdots, 336^\circ \) (multiples of \( 24^\circ \) up to \( 336^\circ \)). The number of lines of symmetry is 15.
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consider the following compound inequality. (\frac{18}{4} < \frac{y + 5…
The solution set is the open interval \((4,\frac{19}{2})\) (or \((4, 9.5)\)). When graphing, place open circles at 4 and \(9.5\) on the number line and draw a line segment connect…
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3. 2x + 9 5x + 24 x = ?
\(x = 21\)
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1. use the diagram to answer parts (a)–(e). a. is scale drawing a an en…
Reduction ### Part (b)
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for each rectangle with area given, determine the binomial factors that…
### Part 1: Factor the area of Rectangle A The area of Rectangle A is given by the quadratic expression \( 6x^2 + 17x - 3 \). We factor this quadratic: #### Step 1: Find two numbe…
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define hyperbola provide an example:
- **Define Hyperbola**: A hyperbola is the set of all points in a plane where the absolute difference of the distances from two fixed points (foci) is constant. Standard forms: \(…
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7. what are the angles of rotation for a 20-gon? how many lines of symm…
The angles of rotation are \(18^{\circ}k\) where \(k = 1,2,\cdots,19\) (i.e., \(18^{\circ},36^{\circ},\cdots,342^{\circ}\)) and the number of lines of symmetry is 20.
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subjects in questions circle the subject in each sentence. the subject …
### Part 1: Circle the subject in each sentence 1. **Sentence**: Where is the pie? - Subject: *pie* (Circle "pie") 2. **Sentence**: Who is your favorite author? - Subject: *author…
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multiple choice circle the best answer, and write the letter in the bla…
B. Anti - Federalists ### Question 2
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1. what is the area of each square? e = 30 mm f = 40 mm g = 50 mm
- Area of square with side \( e \): \( 900 \, \text{mm}^2 \) - Area of square with side \( f \): \( 1600 \, \text{mm}^2 \) - Area of square with side \( g \): \( 2500 \, \text{mm}…
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2. find the length of a side of a square if its area is: a. 81 square i…
The length of the side is 9 inches. ### Part b: Area = \(\frac{4}{25}\) \( \text{cm}^2 \)
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11. find an expression for perimeter rectangle diagram with length 4m −…
\( 14m + 2 \)
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casey travels from her house directly west to the bank and then directl…
40 miles
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which is/are a pythagorean triple(s)? (select all that apply.) 8, 17, 1…
B. 9, 40, 41, C. 5, 12, 13
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ordered pairs that identify points on a plane (with options: dots, y-ax…
coordinates
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consider the following linear inequality. 4n - 20 < -15 + 3n step 2 of …
The solution set \(n < 5\) is graphed with an open circle at 5 and an arrow to the left on the number line. In interval notation, this is \((-\infty, 5)\).
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unit 6 lesson 6 5. draw all of the diagonals in each regular polygon. f…
| Number of Sides | Number of Diagonals | | ---- | ---- | | 3 | 0 | | 4 | 2 | | 5 | 5 | | 6 | 9 | | 7 | 14 | | 8 | 20 | | \(n\) | \(\boldsymbol{\frac{n(n - 3)}{2}}\) | The pattern…
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directions: $\\angle abc$ is bisected by $\\overrightarrow{bd}$. find t…
\(25\) ### Problem (11)
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the solution set is (-infty, -1) cup 7, infty) part: 1 / 2 part 2 of 2 …
To graph the solution set: - Place a closed circle (the "[" or "]" - like symbol for inclusive) at \(-1\) and draw an arrow to the left. - Place a closed circle at \(7\) and draw …
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question 10 1 pts a rectangle that is 2 inches by 3 inches has been sca…
A. 1/7
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the scale drawing car length is 3 cm. if the scale is 1 cm:4 ft, what i…
12 feet
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question 8 1 pts if the original is 12 units and the scale factor is 1/…
3 units (corresponding to the option "3 units")
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use the following information to find x. write the value of the variabl…
\(\frac{3}{4}\)
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use the diagram to find the perimeter and the area of rectangle bcef. r…
The perimeter is $\boldsymbol{16.97}$ units. The area is $\boldsymbol{16}$ square units.
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4. draw the lines of symmetry for each regular polygon. fill in the tab…
| Number of Sides | Number of Lines of Symmetry | |-----------------|-----------------------------| | 3 | 3 | | 4 | 4 | | 5 | 5 | | 6 | 6 | | 7 | 7 | | 8 | 8 | | \( n \) | \( n \)…
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use the figure to the right to find its volume in cubic units. the volu…
36
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true or false: if point c on \\(\\overline{af}\\) is located such that …
True
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use the figure to the right to find its area in square units. the area …
9
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what is the perimeter of the larger triangle? 36 units 12 units 24 unit…
36 units
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2 triangle s and triangle l are scaled copies of one another. a what is…
3 ### Part (b)
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the two rectangles are scale drawings. what is the measurement of x? 20…
20 units
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find the area of the rectangle. 28 in 9 in square inches
252
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question 2 1 pts jamie made a scale drawing of his apartment building. …
30 inches
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find the area of the rectangle. 6 ft 16 ft square feet
96
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what is the scale factor from triangle abc to triangle def? options: ○ …
A. 2
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question 1 1 pts image of two triangles what is the scale factor from t…
2
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lesson 5 practice problems 1 rectangles p, q, r, and s are scaled copie…
To solve this, we analyze the size of each rectangle (P, Q, R, S) visually. A scale factor greater than 1 means the image is larger, equal to 1 means same size, and less than 1 me…
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making an argument will a rectangle that has the same perimeter as △qrs…
No. The area of \( \triangle QRS \) is calculated as \( \frac{1}{2}\times4\times2 = 4 \). For a rectangle with the same perimeter (\( 4 + 4\sqrt{2}\approx9.66 \)), the maximum are…
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find the area of the rectangle. 7 cm 6 cm square centimeters
42
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find the area of the rectangle: 4 mm 9 mm square millimeters
36
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do now: find the locations mentioned in the list below on the map and c…
These cities are all located along major maritime trade routes (especially the Indian Ocean trade network) and served as important trading ports/centers, facilitating trade and cu…
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if p = (-3,4), find: r_y-axis (p) (?, )
\((3,4)\)
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if p = (-2,7), find: ( r_{x\text{-axis}} (p) ) ((?, ))
\((-2,-7)\)
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p (-2, 4) y=1 if p = (-2, 4), then find: r_{y=1} (p) (-2, ?)
\(-2\)
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if jm = x + 17 and mk = 5x - 25, find jl
\( 55 \)
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1/9 which quadrilateral is also considered a rhombus, rectangle, and pa…
C. Square
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brayden is working on a report in which he will compare and contrast th…
A. All rhombuses are squares
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which statement is false? a parallelogram has diagonals that are perpen…
Green option: "Has diagonals that are perpendicular"
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which sine ratios are correct for δpqr? check all that apply. □ sin(p) …
# Explanation: First, recall the definition of sine in a right triangle: $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$. In $\triangle PQR$, $\angle Q = 90^\circ$…
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use the graph and use transformations to move each item into the approp…
s (example, based on typical graph positions): 1. Move down (e.g., 13 units) 2. Move right 5, Move down 4 3. Move right 3, Move down 6 4. Move right 8 5. Move right 9, Move down 3…
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4/10 which statement is false? a parallelogram ________ has diagonals t…
A. Has diagonals that are perpendicular
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in the figure to the right, s||t. use the figure to answer the followin…
\(\boldsymbol{\angle a}\), \(\boldsymbol{\angle f}\) (so the checkboxes for \(\angle a\) and \(\angle f\) should be selected)
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in exercises 7–10, sketch a diagram of the description. (see example 3.…
### Part (a) #### Explanation: 1. **Draw Plane \( P \)**: Represent plane \( P \) as a flat surface (e.g., a parallelogram or a rectangle) to visualize the 2 - dimensional space. …
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3. the length of a rectangle is twice the width. a. find the width if t…
The width is \( 10 \) cm. ### Part (b)
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name the quadrant or axis where each point lies. point b: point l: poin…
Point B: Quadrant II Point L: Quadrant III Point Q: y - axis Point Z: Quadrant IV
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name each polygon.
Octagon ### Problem 11:
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a surveyor measures the distance across a straight river by the followi…
95.3
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name each polygon
To solve the problem of naming each polygon, we analyze each figure based on the number of sides: ### Figure 7 (Top - Left): - A polygon with 8 sides is called an **octagon**. ###…
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5 paige is making lemonade. the recipe calls for 2 scoops of lemonade m…
s: - Part A: Diagram with 2 symbols (e.g., circles) for lemonade mix and 5 symbols (e.g., squares) for water. - Part B: \( 2:5 \), \( \frac{2}{5} \), 2 to 5.
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are these two shapes congruent? you can use the tool to rotate, reflect…
Yes, these two shapes are congruent.
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name each polygon. 7. octagon figure 7. octagon (handwritten) 8. trapez…
Octagon ### Problem 8:
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11. $overline{og} perp overline{eb}$ $m\\angle gof = 9x - 2$ $m\\angle …
\( 18^\circ \)
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name each polygon. 7 octagon 11 hexagon 8 trapezoid 12 ______ 9 pentago…
Parallelogram (or Quadrilateral, but Parallelogram is more accurate) ### Problem 13:
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geometry: cc.2.3.hs.a.14 common district assessment - unit 1 learning t…
A. Plane B, B. Plane VWY, E. Plane RYV ### Question 2