几何
三角形、圆、解析几何与证明题。
-
for each figure, decide which category or categories describe it. choos…
- First figure (orange): Quadrilateral (checked), Parallelogram (checked), Rectangle (checked) - Second figure (blue): Quadrilateral (checked), Parallelogram (checked), Rectangle …
-
question solve for x and graph the solution on the number line below. -…
Inequality Notation: \(x \geq 3\) For the number line: Place a closed circle at 3 (since the inequality is "greater than or equal to") and draw an arrow to the right to represent …
-
plot at least four points from the table of values with integer coordin…
Points like \((1,1)\), \((2,2)\), \((-1,-1)\), \((3,3)\) are plotted (actual plotting depends on table, this is a sample).
-
how many pairs of parallel sides does a trapezoid have? note: your answ…
1
-
determine if $2x^2 + y^2 = 1$ is an ellipse. \\bigcirc not an ellipse \…
Not an Ellipse
-
determine if $16x^2 + 4y^2 = 1$ is an ellipse. \\bigcirc not an ellipse…
Ellipse, we can write the equation of the ellipse in standard form \(\frac{(x - h)^{2}}{a^{2}}+\frac{(y - k)^{2}}{b^{2}}=1\). Where: \(h = 0\) \(k = 0\) \(a=\frac{1}{4}\) \(b=\fra…
-
11 mark for review a right triangle has legs with lengths of 24 centime…
113
-
answer the following true or false: the foci always lie on the minor ax…
False
-
put each figure in the category that best describes it. put only one fi…
- Quadrilateral: The first (irregular 4 - sided) figure. - Square: The second (with equal sides and right angles) figure. - Rhombus: The fourth (with equal sides) figure. - Trapez…
-
9 mark for review a circle has center o, and points r and s lie on the …
46
-
8 mark for review circle a has a radius of 3n and circle b has a radius…
D. 1,849
-
8. $-x + y > -2$ $x + 2y < 2$ to the teacher: for online: this assessme…
The graph consists of two dashed lines: \(y = x - 2\) (with shading above) and \(y=-\frac{1}{2}x + 1\) (with shading below), and the overlapping shaded region is the solution to t…
-
2 mark for review right triangles lmn and pqr are similar, where l and …
B. \( 53^\circ \)
-
estimation without using calculators, use side de and side de to estima…
\( 4 \)
-
find the center and the radius of the circle. $x^{2}+y^{2}+2x - 35 = 0$…
Center: \((-1,0)\) Radius: \(6\)
-
7. -x + y ≤ -1 to the teacher: for online: this assessment contains que…
To graph the inequality \(-x + y\leq - 1\) (or \(y\leq x - 1\)): 1. Draw a solid line through the points \((0,-1)\) and \((1,0)\) (since the inequality is \(\leq\), the line is so…
-
quadrilateral abcd is shown use the drop - down menus to create true st…
For the second drop - down (direction for moving point B), the answer is "right".
-
11.1: distance and midpoint formulas; circles score: 18/24 answered: 15…
Center: \((-1,1)\) Radius: \(2\)
-
19 multiple choice 1 point in the figure shown, line segments ad and bc…
110
-
quadrilateral abcd is shown. use the drop - down menus to create true s…
First drop-downs: C, 2, left. Second drop-downs: B, 2, down (or other, but based on analysis, first is C, 2, left; second could be B, 2, down, but need to match the grid. However,…
-
12 mark for review triangle fgh is similar to triangle jkl, where angle…
B. \(\frac{308}{317}\)
-
10 mark for review circle k has a radius of 4 millimeters (mm). circle …
D. \( 116\pi \)
-
drag the shape(s) to the boxes that match their description. note: shap…
- "Has two pairs of parallel sides": Parallelogram, Square, Rectangle - "Has only one pair of parallel sides": Trapezoid
-
solve for x and graph the solution on the number line below. 4 < x - 1 …
Inequality Notation: \( x > 5 \) (For the number line: Place an open circle at 5 and draw an arrow pointing to the right.)
-
m/j accel math gr 7-zielske (lms) 5-2: lesson quiz (lms graded) what is…
$\frac{5}{2}$
-
find the ratio of triangles to total shapes in the diagram below. ratio…
\(16:36\)
-
4. given that ( moverarc{if} = moverarc{ft} = 140^circ ), write four ad…
1. \( \text{Longitud de }\overarc{IF} = \text{Longitud de }\overarc{FT} \) 2. \( IF = FT \) 3. Ángulo central de \( \overarc{IF} = \) Ángulo central de \( \overarc{FT} = 140^\circ…
-
determine if triangle lmn and triangle opq are or are not similar, and,…
The triangles are not similar. The reason is that when we check the ratios of the corresponding sides (after ordering the sides of each triangle from smallest to largest), the rat…
-
question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x < 8 \) For the number line: Place an open circle at 8 (since \( x \) is not equal to 8) and draw an arrow to the left (indicating all numbers less than 8…
-
question 3 1 pts find the slope of a straight line that passes through …
\(-7.00\)
-
for the triangles to be congruent by hl, what must be the value of x? 2…
\(x = 4\) (the option is 4)
-
triangle abc is congruent to △abc by the hl theorem. what single rigid …
B. reflection
-
the triangles are congruent by sss. which transformation(s) can be used…
reflection only, rotation, then translation
-
determine if triangle pqr and triangle stu are or are not similar, and,…
The triangles are similar (by SSS similarity, as their corresponding sides are in the ratio 5:1).
-
for the figure below, give the following. (a) one pair of angles that f…
s: (a) \(\angle 1\) and \(\angle 2\) (other valid pairs: \(\angle 2\) and \(\angle 4\), \(\angle 4\) and \(\angle 3\), \(\angle 3\) and \(\angle 1\), \(\angle 5\) and \(\angle 6\)…
-
the triangles are congruent by the sss congruence theorem. which rigid …
A. reflection, then rotation
-
use the drawing tools to form the correct answer on the graph. graph th…
To graph \( y=-2x + 3 \), plot the y - intercept \( (0,3) \), then use the slope \( - 2 \) to find another point (e.g., \( (1,1) \) or \( (-1,5) \)) and draw a line through the pl…
-
for the figure below, give the following. (a) one pair of angles that f…
s: (a) \(\angle 1\) and \(\angle 2\) (or other valid linear pair) (b) \(\angle 1\) and \(\angle 4\) (or other valid vertical pair) (c) \(\angle 1\) and \(\angle 2\) (or other vali…
-
5-1 lesson quiz (lms graded) which line has a slope of \\(\\frac{3}{2}\…
The third graph (bottom-left)
-
the triangles are congruent by sss or hl. which transformation(s) can m…
D. rotation, then translation
-
determine if triangle jkl and triangle mno are or are not similar, and,…
The triangles \( JKL \) and \( MNO \) are similar by the SAS (Side - Angle - Side) similarity criterion. The ratio of the sides adjacent to the \( 76^\circ \) angle in each triang…
-
which value of x would make \\( \\triangle suv \\cong \\triangle t uw \…
3
-
for the figure below, give the following. (a) one pair of vertical angl…
s: (a) Vertical angles: \( \angle 1 \) and \( \angle 6 \) (or other vertical angle pairs like \( \angle 2 \) & \( \angle 5 \), \( \angle 3 \) & \( \angle 8 \), \( \angle 4 \) & \(…
-
the triangles are congruent by sss and hl. which transformation(s) can …
reflection, then translation
-
the triangles are congruent by sss or hl. the diagram shows the sequenc…
D. reflection, then rotation, then translation
-
question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( z > 1 \) For the number line: Place an open circle at 1 (since the inequality is strict, \( > \), not \( \geq \)) and draw an arrow to the right to represe…
-
in the figure below, m∠1 = (x - 18)° and m∠2 = 8x°. find the angle meas…
\( m\angle1 = \boxed{4}^\circ \) \( m\angle2 = \boxed{176}^\circ \)
-
for a project in his geometry class, tariq uses a mirror on the ground …
\( 7.19 \)
-
in the figure below, ( mangle 1 = 3x^circ ) and ( mangle 2 = (x + 68)^c…
\(m\angle1 = \boxed{84}^\circ\) \(m\angle2 = \boxed{96}^\circ\)
-
the triangles are congruent by sss or hl. the diagram shows the sequenc…
D. reflection, then rotation, then translation
-
examine this figure. which two pieces of information, if true, would he…
B. Line \(MK\) is the perpendicular bisector of \(\overline{LN}\) D. \(\overline{ML}\cong\overline{MN}\)
-
1/3 + 4/5 partition each area model again to make like units.
The sum of \(\frac{1}{3}+\frac{4}{5}\) is \(\frac{17}{15}\) (or \(1\frac{2}{15}\)). For the area models, partition the first into 15 parts (5 per original part) and the second int…
-
solve the inequality and graph the solution on the line provided. -69 -…
Inequality Notation: \( x > 1 \) (For the number line, we would draw an open circle at 1 and an arrow pointing to the right to represent all numbers greater than 1.)
-
suppose abc is a right triangle with sides of lengths a, b, and c and r…
A. \(\frac{\sqrt{61}}{5}\)
-
the width of a rectangle measures (3u - 4v) centimeters, and its length…
\( 26u - 4 \) (the option with \( 26u - 4 \))
-
for each figure, decide which category or categories describe it. choos…
- Purple Figure: Quadrilateral (☑), Parallelogram (☑), Trapezoid (☑) - Blue Figure: Quadrilateral (☑), Trapezoid (☑), Parallelogram (□) - Red Figure: Quadrilateral (☑), Parallelog…
-
use the polygon tool to draw a rhombus that includes the given side. st…
The rhombus is drawn with vertices at \((1,7)\), \((5,9)\), \((7,5)\), \((3,3)\) (and back to \((1,7)\)) using the polygon tool. (Since it's a drawing problem, the key is to ident…
-
which of the following statements are true about rectangles? select all…
- Opposite sides are parallel. - They must have four right angles. - They are quadrilaterals.
-
solve the inequality and graph the solution on the line provided. $-9 +…
Inequality Notation: \( x < 8 \) For the number line: Draw an open circle at 8 (since the inequality is strict, \( x < 8 \) not \( x \leq 8 \)) and shade the line to the left of 8…
-
which triangle is an isosceles triangle? click on the correct triangle.
The first triangle (the left - most triangle with two sides marked as equal)
-
decide if each statement is always true, sometimes true, or never true.…
For "Scalene triangles are acute triangles": Sometimes For "Obtuse triangles are right triangles": Never
-
decide whether each statement is true or false. an equilateral triangle…
For "An equilateral triangle has 3 acute angles": True (select the True circle). For "An isosceles triangle has 2 equal side lengths": True (select the True circle).
-
warm up dive in \\(\\frac{2}{3} + \\frac{3}{5}\\) make like units. ther…
$\frac{19}{15}$ (or $1\frac{4}{15}$)
-
find the value of x. 8√3 30° 60° x x = ?
16
-
use the polygon tool to draw an isosceles triangle that includes the si…
To draw the isosceles triangle: 1. Locate the midpoint of the given vertical side (the average of the y - coordinates of its endpoints). 2. Choose a point on the horizontal line t…
-
how would this triangle be classified by side lengths? this is a/an ▼ t…
isosceles
-
a large flower bed in the shape of a z has been planted at edwards midd…
40
-
find the area of the figure. 9 4 1/2 7 1/2 1 1/2 units²
\(38\frac{1}{4}\) (or \(\frac{153}{4}\))
-
6. where is the orthocenter of △abc? a (-4, 4), b (2, 7), c (2, 1) (coo…
The orthocenter of \(\triangle ABC\) is \((2,4)\)
-
the putting green for a hole at a miniature golf course is shown in the…
112.5
-
use the figure to complete each part. (a) name the sides of ∠tqr. and (…
(a) \( \overrightarrow{QT} \) and \( \overrightarrow{QR} \) (b) \( \angle RQS \) and \( \angle SQR \) (c) \( Q \)
-
name: class: date: question #1 based on the figure shown, sandra conclu…
D. \( \angle 1 \cong \angle 5 \) and \( \angle 5 \cong \angle 7 \)
-
use the figure to complete each part. (a) write two other names for \\(…
s: (a) \( \angle NMQ \) and \( \angle QMN \) (or \( \angle M \) if acceptable, but three - point names are more precise here) (b) \( \overrightarrow{MP} \) and \( \overrightarrow{…
-
do you know how? 7. find the length of each of the medians of the trian…
The lengths of the medians are \(24\), \(27\), and \(36\)
-
use the figure to complete each part. (a) name the vertex of \\( \\angl…
(a) $B$ (b) $\angle DBC$, $\angle 2$ (c) $\overrightarrow{BC}$, $\overrightarrow{BA}$
-
use the figure to complete each part. (a) name the sides of ∠nmq. and (…
(a) \( \boldsymbol{\overline{MN}} \) and \( \boldsymbol{\overline{MQ}} \) (b) \( \boldsymbol{\angle QMP} \) and \( \boldsymbol{\angle PMQ} \) (c) \( \boldsymbol{M} \)
-
the putting green for a hole at a miniature golf course is shown in the…
# Explanation: ## Step1: Split the shape We can split the putting green into a rectangle and a trapezoid (or a triangle and a rectangle, another way). Let's use the rectangle and …
-
6. generalize for any right triangle, where is the orthocenter located?…
The orthocenter of a right triangle is located at the vertex of the right angle.
-
a composite figure is shown. the figure has been decomposed along the d…
Triangle area: $\boldsymbol{8}$ feet² Trapezoid area: $\boldsymbol{25}$ feet² Combined area: $\boldsymbol{33}$ feet²
-
5. look for relationships consider the three types of triangles: acute,…
- **Orthocenter**: - Acute triangle: orthocenter is inside the triangle. - Right - triangle: orthocenter is at the right - angled vertex. - Obtuse triangle: orthocenter is outside…
-
to find the area of the composite figure, two students divided the shap…
To match each expression to the partial shape: - Square (dotted): $2 \cdot 2$ (area of square: side×side, side = 2). - Rectangle: $2 \cdot 5$ (area of rectangle: length×width, len…
-
20 mark for review the perimeter of an equilateral triangle is 624 cent…
104
-
what is the total area of the figure below? 16 in. 9 in. 8 in, 6 in. 10…
141 square inches
-
17 mark for review in triangles abc and def, angles b and e each have m…
C. The lengths of sides \(BC\) and \(EF\)
-
a large flower bed in the shape of a z has been planted at edwards midd…
28
-
15 mark for review in triangle xyz, angle y is a right angle, the measu…
\( 338 \)
-
13 mark for review what is the diameter of the circle in the xy-plane w…
B. 8
-
regular hexagon abcdef is divided into six equilateral triangles, as sh…
For the first "Choose...": \(180\) For the second "Choose...": \(60\) For the third "Choose...": \(2\) (and then to find the sum of interior angles of hexagon, we can use these to…
-
find the area of the figure. 6 4\\frac{1}{2} 1\\frac{1}{2} 4\\frac{1}{2…
\( \frac{189}{8} \) (or \( 23\frac{5}{8} \) or \( 23.625 \))
-
10 mark for review a cube has an edge length of 68 inches. a solid sphe…
A. 149,796
-
a triangular pyramid and its net are shown. rain uses the calculations …
Rain is not correct. The lateral faces have a height of 12 inches (not 13 inches), so the area of each lateral face is \(\frac{1}{2}\times10\times12 = 60\), 3 lateral faces give \…
-
the putting green for a hole at a miniature golf course is shown in the…
\( 125 \)
-
a composite figure is shown. the figure has been decomposed along the d…
Triangle area: $\boldsymbol{8}$ feet² Trapezoid area: $\boldsymbol{24}$ feet² Combined area: $\boldsymbol{32}$ feet²
-
in the diagram, line x is parallel to line y, m∠1 = 65°, and m∠7 = 55°.…
The sum of \( \angle1\), \( \angle7\), and \( \angle8\) is \(\boldsymbol{not\ 180^\circ}\) (it should be noted that the correct relationship is that \( \angle1+\angle7\) is equal …
-
question 7 entering coordinate point answers some questions ask for ord…
\((1,0),(3, - 1)\)
-
the base of the pyramid in the diagram is a regular hexagon. the length…
\( 187 \, \text{ft}^3 \) (corresponding to the option "187 ft³")
-
what is the y-intercept of the line displayed on the right? what are th…
\((0, - 4)\)
-
to find the area of the composite figure, two students divided the shap…
For the left figure's partial shapes: Area of lower rectangle: \(3 \cdot 6\), Area of upper triangle: \(\frac{1}{2}(2 \cdot 4)\). For the right figure's partial shapes: Area of tr…
-
the equation for \\(\\overline{qr}\\) is \\(5y = -4x + 41\\). is \\(\\o…
Yes, because the slope of \( \overline{OR} \) times the slope of \( \overline{QR} \) equals \( -1 \).
-
use the following graph to find x when y = -1. when y = -1, x = box
\( \boxed{2} \)