Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
a section of a rectangle is shaded. the area of the shaded section is 6…
11 units
-
find the perimeter and area of triangle lmk if each unit on the graph m…
Perimeter = 16 cm, Area = 12 $cm^2$
-
congruent triangles quiz which of the following statements are true? se…
From smallest to largest, $\angle B,\angle C,\angle A$
-
a recycling truck begins its weekly route at the recycling plant at poi…
22.62 miles
-
10 the coordinates of △bcd and its image after a transformation are giv…
D. 180° rotation
-
9 the coordinates of △jkl and its image after a transformation are give…
B. Reflection in the y - axis
-
these two shapes are similar. find c. 2 ft. 6 ft. 3 ft. c c = feet
9
-
8 graph △xyz with x(1, 2), y(9, 7), z(10, 1), and its image after a cou…
D. $X'(2, -1), Y'(7, -9), Z'(1, -10)$
-
1 graph rhombus stuv with s(-6, 2), t(2, 8), u(10, 2), v(2, -4) and its…
C. (1, -2)
-
6 graph rectangle j k l m with j(-2, -2), k(6, -2), l(6, -7), m(-2, -7)…
A. (-6, 4)
-
5 graph △def with d(-8, 1), e(-7, 5) f(-3, 2), and its image after a ro…
A. $D'(8, - 1), E'(7, - 5), F'(3, - 2)$
-
4 graph parallelogram wxyz with w(2, -8), x(-5, -1), y(-1, 2), z(6, 0),…
C. (-3, 1)
-
what is the area of the composite figure? 262 cm² 264 cm² 266 cm² 268 c…
$264$ $cm^2$
-
the area of the regular pentagon is 6.9 cm². what is the perimeter? 2 c…
C. 10 cm
-
graph square pqrs with p(-6, -2), q(-2, 0), r(0, -4), and s(-4, -6) and…
E. (-9, -3)
-
in the diagram below, $overline{wx}congoverline{zy}$. which additional …
$\overline{WZ}\cong\overline{XY}$
-
2 graph △lmn with l(3, -7), m(8, -4), n(1, -2), and its image after a c…
A. $L'(7,3), M'(4,8), N'(2,1)$
-
how does the area of triangle abc compare to the area of parallelogram …
The area of $\triangle ABC$ is equal to the area of parallelogram $GHJK$
-
the regular hexagon has a radius of 4 in. what is the approximate area …
42 in.²
-
1 graph △abc with a(5, 1), b(-2, 6) c(-3, 4), and its image after a ref…
C. $A'(5, - 1), B'(-2, -6), C'(-3, -4)$
-
what is the area of this figure? square miles
40
-
figure abcd is a parallelogram. two trapezoids are created using line s…
Each area is equal to half of the area of \(ABCD\)
-
an area reserved for a parking lot is 80 feet long and 77 feet wide. th…
30
-
the length of a rectangle is 4 less than four times the width. if the p…
$13.6$
-
what is the area of parallelogram rstu? 21 square units 24 square units…
21 square units
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Hypotenuse - Leg (HL)
-
the shaded figure is a rhombus. the area of the shaded section is 60 sq…
C. 8 units
-
the length of a rectangle is 5 yd less than twice the width, and the ar…
Length: 6 yd Width: 5.5 yd
-
10. which pair of lines are parallel? a a and b c c and d b a and c d b…
10. C. \(c\) and \(d\) 11. \(x = 124\) 12. B. \(85\) 13. C. \(95\) 14. A. The angles should be congruent. 15. A. 2nd Ave 16. Depende de la pendiente de \(D - Street\) (suponiendo …
-
what is the area of parallelogram rstu? 24 square units 26 square units…
A. 24 square units
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Angle - Side - Angle (ASA)
-
what is the area of the composite figure if $overline{ab}congoverline{b…
$(2\pi + 40)$ $mm^{2}$
-
the length of a rectangle is 3 yd more than twice the width, and the ar…
Length: 17 yd Width: 7 yd
-
look at this angle: does v lie in the interior or in the exterior of ∠s…
exterior
-
an equilateral triangle has an apothem measuring 2.16 cm and a perimete…
$24.2$ $cm^{2}$
-
how can you decompose the composite figure to determine its area? as th…
as a triangle, a rectangle, and a semi - circle
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Angle - Angle - Side (AAS)
-
trapezoid abcd is graphed in a coordinate plane. what is the area of th…
10 square units
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Side - Angle - Side (SAS)
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: ASA (Angle - Side - Angle)
-
lesson 2: congruent parts, part 2 cool down: connect the dots write a c…
1. $\text{LMNOP}\cong\text{AHFSY}$ 2. $\text{DEFC}\cong\text{XUVW}$ 3. $\text{OMN}\cong\text{UTE}$
-
1. what type of lines are coplanar and do not intersect? a parallel b p…
A. parallel 2.
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Angle - Side - Angle (ASA)
-
which equations represent circles that have a diameter of 12 units and …
$x^{2}+(y - 3)^{2}=36$, $x^{2}+(y + 8)^{2}=36$
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: SSS (Side - Side - Side)
-
what is the center of a circle represented by the equation (x + 9)^2+(y…
$(-9,6)$
-
multiple - choice question how does hitchcock tell the story without th…
C. camera angles and shots of inanimate objects
-
in the triangle, suppose that (mangle d=(x + 7)^{circ}), (mangle e=(6x …
(a) Equation: $(x + 7)+(6x + 2)+(2x)=180$ (b) $m\angle D = 26^{\circ}$ $m\angle E = 116^{\circ}$ $m\angle F = 38^{\circ}$
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Angle - Angle - Side (AAS)
-
which equation represents a circle that contains the point (-2, 8) and …
$(x - 4)^2+y^2=100$
-
which equation represents a circle with a center at (-3,-5) and a radiu…
\((x + 3)^2+(y + 5)^2=36\)
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: Angle - Side - Angle (ASA)
-
what line of reflection will give an image with point b at (-4,2)? x=-3…
y = -x
-
in the triangle below, ∠s is a right - angle. suppose that m∠q=(3x - 17…
(a) Equation: (3x−17)+(5x - 13)+90 = 180 (b) m∠Q = 28° m∠R = 62° m∠S = 90°
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: SAS (Side - Angle - Side)
-
in the triangle below, ∠q is a right angle. suppose that m∠p=(5x - 3)° …
(a) Equation: (5x - 3)+(4x - 15)+90 = 180 (b) m∠P = 57° m∠Q = 90° m∠R = 33°
-
what line of reflection will give an image with point d at (-4,5)? x=-3…
$y=-x$
-
the triangle inequality theorem states that the sum of any two sides of…
# Explicación: ## Paso 1: Aplicar la desigualdad inferior La diferencia entre los dos lados dados debe ser menor que el tercer lado. Entonces, $|15 - 8|\lt x$, es decir $7\lt x$. …
-
what line of reflection will give an image with point a at (-4,5)? x=-3…
$y=-x$
-
determine if the triangles are congruent. if yes select the correct the…
Congruent: Yes Theorem: SAS (Side - Angle - Side)
-
17) what property of equality is illustrated by the statement? (g1g) if…
17) Symmetric Property of Equality 18) If \(x + 2=7\) and \(7=y + 1\), then \(x+2=y + 1\) 19) A. (Linear - pair angles are adjacent and supplementary, and in option A, \(\angle1\)…
-
a regular pentagon is shown. what is the measure of the radius, c, roun…
8.09 cm
-
the area of a rectangle is 35 yd², and the length of the rectangle is 3…
Length: 10 yd Width: 3.5 yd
-
the area of a rectangle is 77 ft², and the length of the rectangle is 1…
Length: 11 ft Width: 7 ft
-
the length of a rectangle is 3 ft less than double the width, and the a…
Length : 7 ft Width : 5 ft
-
the area of a rectangle is 28 ft², and the length of the rectangle is 1…
Length : 8 ft Width : 3.5 ft
-
Question was provided via image upload.
26
-
10 fill in the blank 6 points if l || m, then find the value of x and y…
\(x =-\frac{1}{3},y=\frac{680}{21}\)
-
12 numeric 3 points given a || b, solve for x.
$29.5$
-
Question was provided via image upload.
41
-
10) which segment is skew to $overline{gh}$? (g1f) a. $overline{hc}$ b.…
10) d. $\overline{EF}$ 11) b. $\angle1\cong\angle3$ 12) First, since $a\parallel b$, $\angle1=\angle2$. So, $5(y + 11)=4y- 10$. ## Step1: Expand the left - hand side $5y+55 = 4y -…
-
complete the proof. given: $overline{km}congoverline{nm}$, $overline{lk…
[x] Given [y] Given [z] Reflexive Property of Congruence [a] SSS (Side - Side - Side) Congruence Postulate
-
10) which segment is skew to gh? (g1f) a. bc b. eg c. ad d. ef 11) whic…
10) Without seeing the specific figure clearly, it's hard to determine. But if we assume a standard 3 - D rectangular - prism like figure, we need to check for parallel segments b…
-
statements reasons $overline{pq}congoverline{sr}$ given $angle pqrconga…
[x] Reflexive Property of Congruence [y] Side - Angle - Side (SAS) Congruence Postulate
-
write the trigonometric equation needed to solve for angle (x). then so…
14. $x\approx55.8^{\circ}$ 15. $x\approx10.2^{\circ}$ 16. $x\approx30.9^{\circ}$ 17. $x\approx23.1^{\circ}$ 18. $x = 45^{\circ}$
-
given: $overline{kl}paralleloverline{np}$, $overline{kl}=overline{pn}$ …
- $\angle1\cong\angle4$: Reason - Alternate interior angles are congruent (since $KL\parallel NP$). - $\angle2\cong\angle3$: Reason - Vertical angles are congruent. - $\triangle K…
-
circles identify the center and radius of each. then sketch the graph. …
1. Center: $(-2,1)$, Radius: $3$ 2. Center: $(-3,-4)$, Radius: $\sqrt{3}$ 3. Center: $(2,-3)$, Radius: $1$ 4. Center: $(0,3)$, Radius: $3$ 5. Center: $(-2,-1)$, Radius: $3$ 6. Cen…
-
determine if the triangles are congruent. if congruent, select the reas…
The triangles are congruent by Angle - Side - Angle (ASA).
-
select the correct reasons to complete the proof. *hint draw the figure…
- **x**: Definition of mid - point. - **y**: Hypotenuse - Leg (HL) congruence theorem.
-
determine if the triangles are congruent. if congruent, select the reas…
The triangles are congruent by Side - Side - Side (SSS)
-
determine if the triangles are congruent. if congruent, select the reas…
The triangles are congruent by the Side - Angle - Side (SAS) postulate.
-
statements reasons \\(\\overline{ac}\\) bisects \\(\\overline{bd}\\) gi…
1. $\overline{AE}\cong\overline{CE}$ 2. (Relevant segments from bisector) 3. (Vertical angles statement) 4. $\overline{BE}\cong\overline{DE}$
-
use the following diagram for 1 - 9. a||b, g||h (4 pts each). 1) the sp…
1. c. alternate exterior 2. b. alternate interior 3. b. alternate interior 4. d. consecutive/same - side interior 5. c. supplementary 6. a. vertical angles 7. b. 64° 8. b. 74° 9. …
-
here are 3 triangles. 1. triangle pqr is congruent to which triangle? e…
1. $\triangle PQR$ is congruent to $\triangle NML$ by the SAS congruence criterion. 2. First, translate $\triangle PQR$ so that $P$ coincides with $M$. Then rotate $\triangle PQR$…
-
determine if the triangles are congruent. if congruent, select the reas…
ASA
-
below, line x is parallel to line y. if the measure of angle g is 105°,…
Measure of angle $a = 105^{\circ}$ Measure of angle $b = 75^{\circ}$ Measure of angle $c = 75^{\circ}$ Measure of angle $d = 75^{\circ}$
-
the statement tu = xv is true for which diagrams?
It depends on the congruence markings in the diagrams. If the diagrams show that the triangles containing $\overline{TU}$ and $\overline{XY}$ are congruent with $\overline{TU}$ an…
-
determine if the triangles are congruent. if congruent, select the reas…
The triangles are congruent by the Side - Angle - Side (SAS) postulate.
-
which of the following is not a method for proving triangles congruent?…
C. AAA
-
winona wants to work with her older sister and make a power washing com…
20 blocks
-
which of the following is not a method for proving triangles congruent?…
C. AA
-
below, line x is parallel to line y. if the measure of angle g is 105°,…
Measure of angle $d = 105^{\circ}$ Measure of angle $b = 75^{\circ}$ Measure of angle $c = 75^{\circ}$ Measure of angle $f = 75^{\circ}$
-
complete the sentences below to find the value of x. (overline{ap},over…
$20$
-
cpctc proofs if △abc≅△dec, which angle of △abc corresponds to ∠cde? sho…
$\angle CAB$
-
which figure represents the statement bd bisects ∠abc.
B.
-
use what you know about the triangle inequality theorem to find the mis…
a. Minimum Value: \(8\), Maximum Value: \(26\) b. Minimum Value: \(3\), Maximum Value: \(31\)
-
the circle has center o. its radius is 7 m, and the central angle a mea…
$\frac{245\pi}{36}$ $m^{2}$
-
the circle has center o. its radius is 8 in, and the central angle a me…
$16\pi$ in²
-
let the sides in order from shortest (at the bottom) be: d e f 36° 57° a
\(DF, DE, EF\)
-
the circle has center o. its radius is 2 cm, and the central angle α me…
$\frac{5\pi}{3}$ $cm^{2}$