Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
surface area of rectangular prisms determine the lateral and total surf…
Lateral Area: \( 104 \) square inches Total Surface Area: \( 188 \) square inches
-
solve for the value of a) (there is a right triangle w v u, with a righ…
$x \approx 104$ (rounded to nearest whole number) or $\boldsymbol{\frac{96}{\sin(68^\circ)} \approx 103.5}$
-
solve for the value of x. rc a)
$x \approx 38.8$
-
match the correct figure to each label. \\(\\overrightarrow{cd}\\) \\(\…
$\overrightarrow{CD} ightarrow$ The figure showing a ray starting at point $C$ and passing through point $D$. $\overleftrightarrow{CD} ightarrow$ The figure showing a line passing…
-
use the coordinates of points a and b to write an expression to represe…
$\frac{3 - 6}{5 - (-4)}$
-
what is the slope of line h?slope = \\frac{vertical distance}{horizonta…
-3
-
select the correct answer from each drop - down menu. given: (ux = wz),…
3 the addition property of equality does not apply to this step substitution property of equality
-
6-116. samantha is dilating triangle ( abc ) at right. she multiplied e…
a. To graph the new triangle \(A'B'C'\), plot the points \(A'(0, -6)\), \(B'(4, 0)\), and \(C'(-4, -2)\), then connect the vertices with line segments. b. Triangle \(ABC\) was dil…
-
select the correct answer from each drop - down menu. given: (ux = wz),…
3 the substitution property of equality was used to replace $UX$ and $WZ$ with their equivalent expressions substitution property of equality
-
geometry - honors - 9(ac)10(a) - 2025-2028 7-4: mathxl for school: prac…
\( s_2 = \boldsymbol{36} \) \( a = \boldsymbol{9\sqrt{5}} \) \( u_1 = \boldsymbol{9\sqrt{5}} \) \( u_2 = \boldsymbol{18\sqrt{5}} \)
-
(04.01 mc) δefg is located at e (0, 0), f (-7, 4), and g (0, 8). which …
\( \triangle EFG \) is an isosceles triangle. (The option: \( \triangle EFG \) is an isosceles triangle.)
-
what is the y - intercept?
-1
-
(04.01 lc) how could you use coordinate geometry to prove that \\(overl…
C. Prove the lengths are the same.
-
what type of slope? steep zero slope undefined negative
undefined
-
question 1 (04.01 mc) how can you prove a triangle is a right triangle?…
B. Use the slope formula to see if any sides are perpendicular. ### Question 2
-
7 a fish farm builds a breeding basin in the form of a quadrilateral ab…
Since opposite sides of quadrilateral ABCD have equal slopes (are parallel), ABCD is a parallelogram.
-
name a linear pair of angles. ____ and ____
\(\angle 7\) and \(\angle 8\) (or other valid linear pair from the diagram, e.g., \(\angle 3\) and \(\angle\) a supplementary angle; the exact answer depends on the diagram's angl…
-
name two adjacent angles. ____ and ____
$\angle1$ and $\angle2$ (Other valid pairs like $\angle2$ and $\angle3$, $\angle7$ and $\angle8$ etc. are also correct)
-
9) drag and drop the words to the sentences. if two lines intersect, th…
First blank: vertical angles Second blank: supplementary
-
in the figure, ( mangle 1=(5x)^circ ) and ( mangle 2=(x - 6)^circ ). (a…
(a) Equation: $5x + (x - 6) = 90$ (b) $m\angle 1 = 80^\circ$ $m\angle 2 = 10^\circ$
-
in the figure, ( mangle1=(x + 13)^circ ) and ( mangle2=(6x)^circ ). (a)…
(a) Equation: $(x+13) + 6x = 90$ (b) $m\angle1 = 24^\circ$ $m\angle2 = 66^\circ$
-
line e goes through points a and b. what is the slope of line e? start …
Slope = $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{3}{2}$
-
drag the tiles to the correct boxes to complete the pairs. not all tile…
$LY ightarrow 6$ $NM ightarrow 17$ $m\angle NLY ightarrow 53.13^{\circ}$ $m\angle NMY ightarrow 28.07^{\circ}$
-
Question was provided via image upload.
Blank 1: \( 31^\circ \) (from options: \( 31^\circ \)) Blank 2: \( 59^\circ \) (from options: \( 59^\circ \)) Blank 3: \( 38^\circ \) (from options: \( 38^\circ \)) Blank 4: \( 69…
-
in the figure, ( mangle 1=(2x)^circ ) and ( mangle 2=(x + 66)^circ ). (…
(a) Equation: $2x + (x + 66) = 180$ (b) $m\angle1 = 76^\circ$ $m\angle2 = 104^\circ$
-
in the figure below, $m\\angle 1=(x + 48)\\degree$ and $m\\angle 2 = 2x…
$m\angle 1 = 62^\circ$ $m\angle 2 = 28^\circ$
-
4) matching the relationships between angle pairs are based on their in…
For the first blank (in "Any two angles are ____ if the sum of their measures is \( 90^\circ \)"): If we assume a mis - option and the intended is "complementary" (but not in opti…
-
the hypotenuse of a right triangle measures 10 cm and one of its legs m…
The measure of the other leg is approximately \(7.1\) cm.
-
6 a straight connecting street segment is built perpendicular to an exi…
$y = -\frac{7}{2}x - 3.7$ or $y = -\frac{7}{2}x - \frac{37}{10}$
-
in the figure below, $m\\angle 1 = 3x^\\circ$ and $m\\angle 2 = (x + 68…
$m\angle 1 = 84^\circ$ $m\angle 2 = 96^\circ$
-
7) choose the best answer. which is the best definition for vertical an…
The option (let's assume the fourth option is labeled as, for example, D) D. two of adjacent angles whose noncommon sides are two opposite rays that form a straight line (the exac…
-
2) choose the best answer. which is the best definition for complementa…
The option (assuming the third option is labeled, for example, C) C. Two angles in which the sum of their measures equals \(90^\circ\)
-
6.4. angle and perpendicular bisectors 1. find sv if s is the circumcen…
\( 1.7 \)
-
answer the following questions. 1) choose the best answer. which is the…
The correct option is the third one (the option with the text "two angles that share a common vertex and one common side but have no common interior points").
-
find the length x.
3
-
find the length x.
3
-
find the length x.
$2.5$
-
question one of the legs of a right triangle measures 1 cm and its hypo…
The measure of the other leg is \(\boldsymbol{17.0}\) cm (or approximately 17.0 cm).
-
a scale drawing for a restaurant is shown below. in the drawing, 2 cm r…
$18$
-
3. the shapes at right are similar. a. what is the scale factor? b. fin…
a. $\frac{1}{3}$ b. $x = \frac{8}{3}$, $y = \frac{5}{3}$
-
an angle measures ((2x + 11)^circ). part a. what is the measure of an a…
A. $(2x + 11)^\circ$ B. $(169 - 2x)^\circ$
-
10) 6 in. 2\\frac{1}{5} in. 1\\frac{3}{10} in. sa = v =
Surface Area (SA) = \(47\frac{18}{25}\) square inches Volume (V) = \(17\frac{4}{25}\) cubic inches
-
the hypotenuse of a right triangle measures 5 cm and one of its legs me…
The measure of the other leg is \(\boldsymbol{3}\) cm.
-
5 a ski resort is building two parallel straight ski slopes for childre…
$s = -4$
-
a scale drawing for an apartment is shown below. in the drawing, 1 cm r…
$54$
-
c. then, the robot flips its arms (moves its right arm up and its left …
i. Reflection ii. $g(x) = -x^3$
-
1. two vertical angles are labeled as $\\angle c$ and $\\angle d$. the …
B. 12.2
-
a scale drawing for a plot of land is shown below. in the drawing, 5 cm…
72
-
b. assume that after each dance move, the robot always returns to its o…
i. Translation (specifically horizontal translation) ii. $f(x)=(x+2)^3$
-
al 25-26 3.8 lets dance portfolio a. first, the robot will jump straigh…
i. Translation ii. $y = x^3 + 4$
-
3. name the angle relationship shown in the diagram. write an equation …
## Angle Relationship: Vertical angles and supplementary angles (straight angle sum) ## Equation: $x + 80 + 60 = 180$ ## $x = 40$
-
what is the perimeter of the triangle? units related content intro to t…
24
-
a student is given ∠qos ≅ ∠rot and the diagram and asked to prove m∠qor…
4 the subtraction property of equality should be used instead of the subtraction property of congruence
-
similar figures examples find the scale factor for the images a. b. wri…
## Part 1: a. 3 b. 3 ## Part 2: a. Similarity statement: $ABCD \sim EFGH$; Scale factor: 2 b. Similarity statement: $\triangle ABC \sim \triangle DFE$; Scale factor: 2 ## Part 3: …
-
match the mathematicians to their descriptions. regarded as the father …
regarded as the father of geometry $\longleftrightarrow$ Euclid a mathematician who compiled basic geometric facts, or elements, into a textbook $\longleftrightarrow$ Hippocrates …
-
it was confusing and frightening, not in a way i could untangle. i was …
A. He thinks the fighting is foolish and wasteful.
-
select the correct answer. prove: if two angles are supplementary, they…
A. An image showing two separate angles, one acute and one obtuse, that appear to sum to $180^\circ$ but are not adjacent.
-
4 determine whether the straight air routes with equations $x - \\frac{…
The lines are intersecting, and the point of intersection is $(-5, -4)$.
-
find the value of each variable in the parallelogram. 2m° n° 72° m = n =
$m=36$, $n=108$
-
the hypotenuse of a right triangle measures 16 cm and one of its legs m…
The measure of the other leg is approximately \(\boldsymbol{11.6}\) cm.
-
in exercises 9 - 30, find the measure of the angle. (the angle number i…
$m\angle9=66^\circ$, $m\angle10=114^\circ$, $m\angle11=66^\circ$, $m\angle12=114^\circ$, $m\angle13=66^\circ$ $m\angle14=137^\circ$, $m\angle15=43^\circ$, $m\angle16=43^\circ$ $m\…
-
1. in the diagram below ∠bad is a straight angle. a. describe the angle…
1a. The angles are supplementary (sum to $180^\circ$). 1b. $x = 48$ 1c. $48 + 132 = 180$, which confirms the solution is correct. 1d. $\angle CAD = 132^\circ$ 2. $x = 30$, $\angle…
-
find the value of x that makes the quadrilateral a parallelogram. 4x + …
$8$
-
the hypotenuse of a right triangle measures 16 cm and one of its legs m…
The measure of the other leg is approximately \(\boldsymbol{11.6}\) cm.
-
what type of proofs did they use? candices proof is an indirect proof b…
Candice's proof is an indirect proof because the last statement contradicts given information. Joe's proof is a direct proof because each statement builds on logic from a previous…
-
what type of proofs did they use? candice’s proof is a direct proof an …
Candice's proof is an indirect proof because it begins by assuming the opposite of what is to be proved. Joe's proof is a direct proof because it uses a series of logical statemen…
-
select the correct answer from each drop - down menu. how are rays and …
1. For the blank defining an angle: rays that extend from a common point 2. For the blank about angle measure and side length: not
-
select the correct answer from each drop - down menu. how are rays and …
1. A ray: is part of a line that has an endpoint and extends infinitely in one direction 2. and an angle is two rays that share a common endpoint 3. the measure of an angle is the…
-
which statement is not one of the axioms of euclidean geometry? a. give…
D. If two planes intersect, their intersection is a point.
-
find the length of the third side. if necessary, round to the nearest t…
\(19.5\)
-
pretest: foundations of geometry given: ( mangle 1 = 110^circ ) ( mangl…
1. $m\angle1 = 110^\circ$: $\boldsymbol{\text{given}}$ 2. $m\angle2 = 70^\circ$: $\boldsymbol{\text{given}}$ 3. $\angle1$ is supplementary to $\angle2$: $\boldsymbol{\text{definit…
-
jonathan is standing near a fountain (f) that is located at the center …
D. The distance from F to G is equal to the distance from F to B.
-
drag the tiles to the correct boxes to complete the pairs. not all tile…
1. If two figures are congruent, then their corresponding sides are equal. → If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. 2. If t…
-
2. what is the scale factor of the dilation from triangle a to triangle…
$\frac{1}{2}$
-
drag the tiles to the correct boxes to complete the pairs. match each d…
- circle → the set of all points in a plane that are equidistant from a given point - line segment → a part of a line that begins at one point and ends at another point - angle → …
-
which greek mathematician is known as the father of geometry? a. pythag…
C. Euclid
-
select the correct answer. which statement is a converse of ( p )? ( p …
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
-
nd the area of the figure. (sides meet at right angles.)
$21$ $\text{cm}^2$
-
select the correct answer from each drop - down menu. given: ( cd = ef …
## Statement: $CE = DF$ ## Reason: transitive property of equality
-
find the area of the figure. (sides meet at right angles.)
$68$ $\text{yd}^2$
-
what is the slope of the line that goes through points a and b? whats a…
The slope of the line through A and B is $-\frac{1}{4}$. Another way to write the slope is $\frac{3-1}{-3-5}$ (or any equivalent fraction simplifying to $-\frac{1}{4}$).
-
find the area of the figure. (sides meet at right angles.)
$50$ $\text{m}^2$
-
2. what is the scale factor of the dilation from triangle a to triangle…
1. $\frac{1}{2}$ 2. a. Enlargement; b. Reduction 3. a. $\frac{2}{3}$; b. Reduction
-
what is the slope of the line that goes through points a and b? subtrac…
$\frac{-1}{4}$
-
draw a polygon with 3 angles and 2 equal sides.
An isosceles triangle can be drawn on the dot - grid. For example, by connecting three points such that two of the sides have the same length (e.g., choosing three appropriate poi…
-
choose 1 answer: a translation b rotation c reflection d dilation
D. Dilation
-
choose 1 answer: a translation b rotation c reflection d dilation
D. Dilation
-
find the length of the third side. if necessary, round to the nearest t…
\(16.3\)
-
line m goes through points a and b. what is the slope of line m? start …
First, fill the fraction as $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}$. The slope of line $m$ is $\frac{3}{5}$.
-
what is another way to write the slope of line d? slope = \\(\\frac{\\t…
$-\frac{5}{4}$ (corresponding to the option $-\frac{5}{4}$)
-
in her lifeguarding class, summer swam a loop from point a to point b, …
C. 360 meters (go to J)
-
4, use the coordinates to write an expression you could use to find the…
$\frac{3 - 8}{6 - 2}$
-
which side of figure jklm corresponds with ab? jk kl lm mj
\(JK\) (the option with \(JK\) as the text, so the first option: \(JK\))
-
is parallelogram uvwx a rectangle? yes no
no
-
quadrilateral abcd is a square. what is bd? bd = submit
74
-
quadrilateral bcde is a rectangle, ab = 12a + 41, and ae = 19a + 27. wh…
$2$
-
quadrilateral uvwx is a square. what is ( mangle xwy )?( mangle xwy = s…
$45$
-
quadrilateral vwxy is a square. what is vy? x 5w - 86 y 4w - 52 w v vy …
84
-
quadrilateral tuvw is a rectangle, sv = 2v + 30, and sw = 20v + 12. wha…
$v = 1$
-
is parallelogram fghi a square? yes no
no