Answers2026-2027_MDCPS_1206315_Geometry Sem 2Special Parallelograms

Volume of Prisms Answers

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A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

Question illustration
A
(25π – 48) cm2
B
(25π – 30) cm2
C
(25π – 24) cm2
D
(25π – 12) cm2
2
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A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters.

Question illustration
A
(2π + 28) mm2
B
(2π + 32) mm2
C
(2π + 40) mm2
D
(2π + 48) mm2
3

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.

Question illustration
A
98°
B
108°
C
118°
D
128 °
4

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

Question illustration
A
36°
B
40°
C
45°
D
60°
5

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

Question illustration
A
as three triangles and a circle
B
as two triangles, a rectangle, and a circle
C
as a triangle, a pentagon, and a semicircle
D
as a triangle, a rectangle, and a semicircle
6

Polygon A B C D is shown with exterior angles. Exterior angle A is 25 degrees, exterior angle B is 146 degrees, and exterior angle D is 149 degrees.

Question illustration
A
25º
B
40º
C
140º
D
155º
7

A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trapezoid has base lengths of 8 centimeters and 14 centimeters. The height of the trapezoid is 4 centimeters. The rectangle has side lengths of 20 centimeters and 6 centimeters.

Question illustration
A
262 cm2
B
264 cm2
C
266 cm2
D
268 cm2
8

Which polygon is a concave octagon?

A
A polygon has 7 sides. One angle goes inside of the shape.
Option A
B
A polygon has 8 sides.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides.
Option D
9

A square is inscribed in an equilateral triangle that is inscribed in a circle.

Question illustration
A
area of the circle – area of the square – area of the triangle
B
area of the triangle – area of the square + area of the circle
C
area of the triangle + area of the square + area of the circle
D
area of the circle – area of the triangle + area of the square
10

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

Question illustration
A
70 cm2
B
100 cm2
C
105 cm2
D
130 cm2
11

Which expressions represent the area of the entire shaded region, including the light and dark shading? Select three options.

A
12a cm2
B
2b cm2
C
(6a – b) cm2
D
(12a + 2b) cm2
E
(6a + b) cm2
12

An interior angle of a regular polygon has a measure of 135°. What type of polygon is it?

A
hexagon
B
octagon
C
nonagon
D
decagon
13

Which statements are true about polygons? Select three options.All sides and all angles in a polygon are congruent.The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.In a polygon, all segments with a common endpoint are collinear.If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

A
All sides and all angles in a polygon are congruent.
B
The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.
C
In a polygon, all segments with a common endpoint are collinear.
D
If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
E
The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
14

A polygon with 5 sides is shown with its exterior angles. The exterior angles are 62 degrees, 66 degrees, 77 degrees, 59 degrees, and (12 x) degrees.

Question illustration
A
6
B
8
C
10
D
12
15

Which polygon has an interior angle sum of 900°?

A
A polygon has 8 sides.
Option A
B
A polygon has 10 sides.
Option B
C
A polygon has 9 sides.
Option C
D
A polygon has 7 sides.
Option D
16

A polygon with 7 sides is shown. An angle goes inside of the shape.

Question illustration
A
convex heptagon
B
concave heptagon
C
concave octagon
D
convex octagon
17

A composite figure is comprised of a square and 4 semicircles.

Question illustration
A
as a pentagon and four semicircles
B
as two rectangles and four circles
C
as a square and four semicircles
D
as two triangles and four circles
18

What is the sum of the measures of the interior angles of a 12-gon?

A
1620°
B
1800°
C
1980°
D
2160°
19

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.

Question illustration
A
as a circle, three rectangles, and a triangle
B
as a circle, a trapezoid, and four triangles
C
as a semicircle, three rectangles, and a square
D
as a semicircle, a trapezoid, and two rectangles
20

What is the measure of each interior angle of a regular octagon?

A
45º
B
60º
C
120º
D
135º

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