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# Geometry Mid-Year Review (Grade 10)

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## Geometry Mid-Year Review

1.
How would you label AB?
1. line
2. line segment
3. ray
4. angle
2.
The union of two distinct rays with a common endpoint is
1. a triangle.
2. a point.
3. an angle.
4. a tangent.
3.
points lie on top of each other.
1. Bisector
2. Concurrent
3. Collinear
4. Corresponding
5. None of the above
4.
A part of a line that starts at an endpoint and extends infinitely in one direction.
1. Plane
2. Ray
3. Right Angle
4. Endpoint
5.
Find the measure of the angle complementary to the given angle.
$mangy=15deg$
1. $75deg$
2. $165deg$
3. $90deg$
4. $35deg$
6.
An angle measuring 32 degrees has a complement that measures (2x - 16) degrees. What is the value of x?
1. 82
2. 37
3. 172
4. 33
7.
Angles MRQ and RPN are alternate interior angles of two parallel lines cut by a transversal. If angle MRQ = 5x + 7 and angle RPN = 7x - 21, what is the value for angle MRQ?
1. 14
2. 77
3. 42
4. 69
8.
Which set of angles is an example of corresponding angles?
1. $ang1 and ang2$
2. $ang4 and ang5$
3. $ang6 and ang8$
4. $ang3 and ang7$
9.
Which of the following correctly classifies the relationship between $ang4$ and $ang5$?
1. alternate interior angles
2. same-side interior angles
3. corresponding angles
4. vertical angles
10.
Classify the triangle with points: M(-3, -4); N(2, 5); L(2, -4).
1. Right
2. Obtuse
3. Acute
11.
m$ang$A = 23, m$ang$B = 57. Find m$ang$C.
1. 90
2. 100
3. 110
4. 120
12.
A right triangle has an angle measuring 38 degrees. Which is the degree measure of another angle of this triangle?
1. 52 degrees
2. 82 degrees
3. 104 degrees
4. 142 degrees
13.
The altitude of equilateral triangle ABC is 15. What is the length of a side of triangle ABC?
1. $5sqrt2$
2. $5sqrt3$
3. $10sqrt2$
4. $10sqrt3$
14.
Trapezoid LMNO is congruent to trapezoid QRST. Which side of QRST corresponds to LM?
1. QR
2. RS
3. ST
4. TQ
15.
What is the interior angle measure of a regular pentagon?
1. $108^o$
2. $90^o$
3. $540^o$
4. $360^o$
16.
Mr. Chang made two similar rectangular window frames. One frame was 12 feet wide and 16 feet long. What could be the dimensions of the other frame?
1. 2 feet wide and 6 feet long
2. 6 feet wide and 8 feet long
3. 16 feet wide and 20 feet long
4. 24 feet wide and 48 feet long
17.
In circle O, which is the chord?
1. AB
2. OD
3. AC
4. AO
18.
The radius of a circle is 8 centimeters (cm). What is the approximate circumference of the circle? (Use $pi$ = 3.14)
1. 16 cm
2. 25 cm
3. 50 cm
4. 201 cm
19.
You have a 65 degree angle. Determine the complementary angle AND the supplementary angle.

20.
Find the values of $ang2, ang3, ang4$ when $ang1 = 78.5deg.$

21.
If AB = 7 and BC = 12, then what is the length of AC?

22.
Let the measure of arc ED be equal to 135 degrees and the measure of arc BC be equal to 25 degrees what is the measure of angle BAC? Show your work.

23.
Determine the most precise name of quadrilateral ABCD given the following vertices:
A(-1,0); B(-1,3); C(2,4); D(2,1).

24.
In the parallelogram shown, if angle B = 2x + 15 and angle A = 3x - 5, what is the measure of angle D?

25.
The diagonals of quadrilateral ABCD intersect at E(-1,4). Two vertices of ABCD are A(2,7) and B(-3,5). What must the coordinates of C and D be in order to ensure that ABCD is a parallelogram?

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