Answers2026-2027_MDCPS_1206315_Geometry Sem 2Special Parallelograms

Special Parallelograms — Unit test Answers

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Angle K measures 67º and angle L measures 119°.

Question illustration
A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
2
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UV and RV are secant segments that intersect at point V.

Question illustration
A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
3

All tangents to the circle are congruent and form a square. The perimeter of square ACEG is 24 cm.

Question illustration
A
2 cm
B
3 cm
C
6 cm
D
8 cm
4

Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees. Point E is on the second arc. Arc F H has a measure of x degrees.

Question illustration
A
130°
B
230°
C
260°
D
310°
5

Line EF is tangent to circle G at point A.

Question illustration
A
90°
B
95°
C
190°
D
195°
6

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Given: Circle O; intercepts ; D intercepts Prove:

Question illustration
A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
8

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

Question illustration
A
15°
B
75°
C
105°
D
165°
9

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

A
(−9,6)
B
(−6,9)
C
(6,−9)
D
(9,−6)
10

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
11

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
12

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Question illustration
A
4.5 units
B
8 units
C
12 units
D
12.5 units
13

The chords intersect at point U.

Question illustration
A
2
B
4
C
6
D
8
14

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
15

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

A
2 units
B
3 units
C
4 units
D
5 units

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