Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
ami is making building blocks. the blocks are shaped like triangular pr…
B. $176$ cm²
-
if lm = 11, then kl = ________
11
-
the diagram of collinear points is shown with ab = 5, bf = 20, ac = 12,…
a. $BC = 7$ b. $CD = 3$ c. $AB + BD=15$
-
show that the equation represents a circle by rewriting it in standard …
Center: $(3,-5)$ Radius: $2$ Standard form: $(x - 3)^{2}+(y + 5)^{2}=4$
-
find mq and pq. b. mq = 4, pq = 4 d. mq = 8, pq = 8 a. mq = 4, pq = 8 c…
A. \(MQ = 4\), \(PQ = 8\)
-
2. (912.ar.1.2) the perimeter of any rectangle in which the length is 4…
D. $w=\frac{P - 8}{6}$
-
the area of the shaded sector is 8π. what is the measure of ∠sot, which…
B. $45^{\circ}$
-
in the figure ig = 18. what is the length of ij?
18
-
use straightedge and compass tools to construct a line perpendicular to…
The constructed line CD is perpendicular to line l and passes through point C.
-
what does the word bisect mean? to cut something into more than five pi…
To cut something into two congruent pieces or in half.
-
line l bisects the segment. find the value of x.
D. $x = 3$
-
example 3 find the distance between each pair of points. 21. v(5, 7) u(…
21. $10$ 22. $3\sqrt{5}$ 23. $\sqrt{73}$
-
find m∠mon. answer attempt 1 out of 2 m∠mon =
\(66\)
-
determine whether the lines intersect, and if so, find the point of int…
The lines do not intersect.
-
the diagram of collinear points is shown below. if gi = hj and gh = 3 a…
11
-
1) simplify the following expression 23 - 6(8 - 3) 2) combine like term…
1) $-7$ 2) $-15x^2+2x - 6$ 3) $x^2+2x$ 4) $p = 20$ 5) Associative 6) Associative 7) $x<6$ 8) Draw a number line with a closed - circle at 2 and an arrow pointing left.
-
given: ∠1 is an exterior angle of △urs. prove: m∠r = m∠1 - m∠3
1. $\angle1$ is an exterior angle of $\triangle URS$ 2. $m\angle1=m\angle R + m\angle3$ 3. $m\angle1 - m\angle3=m\angle R + m\angle3 - m\angle3$ 4. $m\angle R=m\angle1 - m\angle3$
-
the height of a triangle is 4 in. greater than twice its base. the area…
$x(x + 2)\leq168$
-
given the conditional statement below write the following. if a polygon…
Converse: If a polygon is a rectangle, then the polygon has four sides. Inverse: If a polygon does not have four sides, then the polygon is not a rectangle.
-
determine whether the lines intersect, and if so, find the point of int…
The lines do not intersect and the angle between them is approximately \(64.9^{\circ}\)
-
what is the standard form of the equation of the circle shown below? a …
C. $(x + 2)^2+(y - 2)^2=16$
-
find rm and ms. r m s 6 rm= rm=6 ms=6 rm=12 ms=6 rm=3 ms=3 rm=3 ms=6
C. RM=3 MS=3
-
ac is tangent to circle o at point a, and mab = 59. what is m∠acb? (not…
C. 31
-
hexagon ljklmn is shown on the coordinate plane below. if hexagon ljklm…
$(-0.8,1.6)$ (It seems there is an error in the provided options as the correct answer based on the above calculation is $(-0.8,1.6)$ and it is not among the given choices. But if…
-
what does the word bisect mean? to cut something into two congruent pie…
To cut something into two congruent pieces or in half.
-
in the diagram, oabc is a quadrilateral and p, q, r, and s are the mid …
(i) $\frac{1}{2}(\mathbf{b}-\mathbf{a})$ (ii) $\frac{5}{4}\mathbf{a}+\frac{5}{6}\mathbf{b}$ (iii) $-\frac{5}{2}\mathbf{a}-\frac{2}{3}\mathbf{b}$ (iv) $\frac{5}{4}\mathbf{a}+\frac{…
-
use the given information to determine the length of line segment ab.
11
-
what is the angle of rotational symmetry for this regular polygon? a 24…
C. $120^{\circ}$
-
how long will it take? here are stages 1 - 4. what stage will have clos…
None of the given options are close to 30000000. There might be a wrong - assumption about the pattern. If we assume a different pattern, say a geometric - like growth. Let's try …
-
18/32 this point divides a line segment into 2 equal parts. vertex poin…
midpoint
-
which segment is congruent to $overline{cd}$?
B. $\overline{DA}$
-
the perimeter of △jkl is 106. find the length of midsegment (overline{s…
A. 17
-
find measurement for pr.
3
-
if lm = 11, then km =
22
-
11. what is the highest number of degrees that an angle can have? 90 36…
There is no highest number of degrees for an angle as angles can be measured in multiples of full - rotations. But among the given options, B. 360
-
you said stage 20 will have $2^{10}$ circles. how many times as many ci…
Twice as many
-
10. joanne does a daily walk from building p to building q. given point…
13 feet
-
find rm and ms. rm=3, ms=6 rm=3, ms=3 rm=6, ms=3 rm=6, ms=6
RM=3, MS=3
-
the perimeter of △jkl is 106. find the length of mid - segment st.
# Explanation: ## Step1: Recall mid - segment theorem The length of a mid - segment of a triangle is half the length of the third side of the triangle it is parallel to. Let the s…
-
dm - topic 2: practice #3 due september 15 at 11:59 pm grade: 100% find…
\(x = 23\), \(y = 137\)
-
a point, ray, segment, line, or plane that intersects a segment at the …
Segment Bisector
-
drag the vertices of △klm to form a scalene obtuse triangle.
Drag the vertices to make one angle greater than 90° while keeping all side - lengths unequal.
-
convert the point from rectangular coordinates to cylindrical coordinat…
$(4\sqrt{3},\frac{\pi}{6}, - 5)$
-
line l bisects the segment. find the length of eg.
34
-
circle the best answer, and write the letter. 11. representatives met i…
11. A. Philadelphia 12. D. all of the above 13. A. U.S. Constitution 14. Twenty - seven changes (amendments) have been made to the Constitution. 15. Women.
-
stage 10 the number of circles at stage 10 is extremely large. write an…
\(2^{10}\)
-
find the value of r if m is the mid - point of jk.
D. r = 3
-
drag the vertices of △mno to form a scalene right triangle.
# Explanation: ## Step1: Recall triangle properties A scalene right - triangle has one angle equal to 90° and all side lengths different. ## Step2: Adjust vertices Drag the vertic…
-
find the length of side x/ 16 20 x select one: a. 18 b. 4 c. 26 d. 12
D. 12
-
10/32 this point, line or ray that divides a line segment into 2 equal …
A. bisector
-
find the length of side c, to the nearest tenth. select one: a. 3.2 b. …
b. 7.2
-
which definition matches the word? congruent drawn around another figur…
Same as or Equal to
-
a water taxi leaves its dock, and travels 7 km due north to pick up med…
C. $25^{\circ}$
-
solve this right triangle. give the measures to the nearest tenth. sele…
d. $\angle F = 67^{\circ}, GH = 18.8$ m, $FH = 20.5$ m
-
m is the midpoint of the line segment. find the value of x.
$x = 47$
-
solve this right triangle. give the measures to the nearest tenth. sele…
D. $\angle F = 67^{\circ}, GH = 188$ m, $FH = 205$ m
-
pq is reflected across the line x = - 3. the coordinates of the endpoin…
D. $(-8,4)$
-
in the figure, fg = 11, whats the length of gh
11
-
determine the length of side d to the nearest tenth of a centimeter. se…
b. 29.5 cm
-
true or false. a segment can have more than one midpoint.
False
-
find tm and ms given that m is the midpoint of the segment.
TM = 7.5, MS = 7.5
-
there are four types of angles. acute angle greater than 0° and less th…
1. 45° 2. 90° 3. 135° 4. 180° 5. acute 6. obtuse 7. right 8. Draw an angle like 120° and name it (e.g., ∠ABC) 9. Draw an angle like 30° and name it (e.g., ∠DEF) 10. Draw a 180° an…
-
4. determine the tangent ratio for ∠t. a. 35/12 b. 35/37 c. 37/35 d. 12…
A. $\frac{35}{12}$
-
determine the length of de to the nearest tenth of a centimeter. select…
d. 15.9 cm
-
drag the vertices of △def to form an equilateral triangle.
Drag the vertices to make all side - lengths equal and all angles 60°.
-
akiyo is designing a bird house with a symmetrical roof, as shown in th…
C. 19.9 cm
-
find mq and pq.
A. \(MQ = 4,PQ = 8\)
-
complete the rows in the table to show what jada and noah would write f…
| Stage | Number of Circles (Jada) | Number of Circles (Noah) | |--|--|--| | 5 | $2\times2\times2\times2\times2$ | $2^{5}$ | | 10 | $2\times2\times2\times2\times2\times2\times2\ti…
-
what is the area of a circular region whose diameter is 6 centimeters? …
B. $9\pi$ cm²
-
line l bisects the segment. find the lengths of an
9.2
-
classifying angles look at the protractor on the right. find the measur…
1. (Measure from protractor) 2. (Measure from protractor) 3. (Measure from protractor) 4. (Measure from protractor) 5. Draw a 50° angle using protractor. Name it as ∠ABC (for exam…
-
a right rectangular prism with base dimensions 7.8 m by 5.1 m has a vol…
A. 2.8 m
-
line segments that have the same length are called _______
congruent line segments
-
a right cylindrical can has a volume of 263.1 cm³. what is the volume o…
A. $87.7\ cm^{3}$
-
pentagon opqrs is shown on the coordinate plane below. if pentagon opqr…
(3.5, 7.875)
-
the radius of a volleyball is approximately 11 cm. determine the surfac…
d. $1521$ $cm^{2}$
-
what is the area of a right triangle 9 centimeters high with a base of …
C. 40.5 square cm
-
verify that the two lines are parallel, and find the distance between t…
$2.509$
-
circle the best answer, and write the letter in the blank. 11. people a…
11. C. naturalization 12. D. all of the above 13. B. 18 14. Economic opportunities; Religious freedom 15. Cultural diversity enriches the nation through various cuisines, art form…
-
6. what is the measure of angle hjl in the picture below? 140° 45° 50° …
$50^{\circ}$
-
angles and lines exam cp geometry a q / angles and lines 5. what do deg…
the incline of an angle
-
4. what type of angle is shown on the protractor below? obtuse reflex a…
acute
-
3. which postulate explains why angle pqr would be 140 degrees in the p…
angle addition postulate
-
two sides of a triangle measure 9 and 19. which inequality shows all th…
A. \(10 < x < 28\)
-
2. what are angle 2 and 3 in the picture below referred to as? vertical…
C. alternate exterior angles
-
points p, q, and r are collinear. point q is between p and r, pq = 8x +…
59
-
angles and lines exam cp geometry a 0 / angles and lines 1. why is cp i…
C. $\overline{AP}$ is not congruent to $\overline{PB}$.
-
9. $9a + 8 - 2a - 3 - 5a$ 10. $4xy - 6xy + 5y - 9x$ 11. $7x + 2y + 5 - …
9. $2a + 5$ 10. $-2xy + 5y - 9x$ 11. $2x+11y + 4$ 12. $-3f-12g - 4$ 13. $-a + 3b-1$ 14. $11n^{2}-11n - 9$ 15. $10c^{2}-2c + 5$ 16. $-15x^{2}y$ 17. $5a^{2}b^{2}-ab^{2}$ 18. $3x^{2}…
-
w 1 n y x 2n - 37 find xy. figure is not drawn to scale.
38
-
what is the volume of the rectangular prism? use the formula. 5 yd, 4\f…
D. $17\frac{1}{2}$ yd³
-
complete the sentences with words from the box. straight angle angle bi…
1. vertical angles 2. acute angle 3. adjacent angles 4. straight angle 5. angle 6. complementary angles 7. angle bisector 8. supplementary angles 9. obtuse angle 10. congruent ang…
-
de bisects ac at point b. ac = 3x + 32 and ab = 3x + 1. find bc.
$31$
-
read the passage from sugar changed the world. one of these early hindu…
- "sugar cane was now an ingredient in ceremonies involving fire" - "Perhaps that transformation itself seemed magical" - "sugar cane is called ikshu, which means 'something that …
-
quadrilateral abcd is a translation of quadrilateral abcd. what is the …
\((x,y)\to(x - 2,y - 5)\)
-
the dimensions of a rectangle are shown. write the area of the rectangl…
$x^{3}+27$
-
find the point(s) of intersection (if any) of the plane and the line. 2…
$(x,y,z)=(-1,-1,0)$; The line does not lie in the plane.
-
find the distance between points u and g.
3
-
find the value of x. round the answer to the nearest tenth if necessary…
C. 7.5
-
in quadrilateral abcd, ∠a is opposite ∠c, and ∠b is opposite ∠d. ∠a ≅ ∠…
C. ABCD could be any parallelogram.
-
what is the measure of each interior angle of a regular octagon? 45° 60…
$135^{\circ}$