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Geometry
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MIDTERM EXAM: Chapter 1 Review
Key Concepts & Skills
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Use defined and undefined terms (e.g., points, lines, planes, rays, segments, collinear, coplanar,
betweenness, congruent, etc.)
Identify or sketch skew and parallel lines
Sketch, label, name basic elements of Geometry
Sketch intersections of lines and planes
Apply segment postulates (e.g., Segment Addition Postulate, Ruler Postulate) and the distance formula to
find measures of segments.
Classify angles (acute, obtuse, etc.) and apply angle postulates (e.g., Angle Addition Postulate) to find
angle measures.
Name angles and find measures using a protractor
Bisect segments and angles.
Find the midpoint of a segment on the coordinate plane.
Apply the properties of a bisector to solve problems.
Identify vertical angles, linear pairs, complementary angles, and supplementary angles.
Solve problems by applying geometric properties and algebra skills (e.g., find angle measures given
algebraic expressions for angle values).
Find the perimeter, circumference, and area of squares, rectangles, triangles, and circles (common plane
figures)
Formulas
Distance between
2 points:
MD/1-08/Ch. 1 MT Review
d  (x2  x1)2  (y2  y1)2
Midpoint
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x2  x1 y2  y1 
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2
2 
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Geometry
Problems
I. Segments, distance, midpoint
1) Use the distance formula to determine if PQ  QR given P (-4, 3), Q (-2, 1), R (0, -1)
2) Using points P, Q, & R from #1, find the midpoints of PQ, QR, & PR .
3) Q is between P and S. R is between Q and S. S is between Q and T. PT = 30, QS = 16, and PQ = QR = RS.
Find PQ, ST, and RP.
4) Find the length of segments AB, BC, and CD given: AD = 30,
AB = 2x + 2, BC = 4x – 1, and CD = 3x – 7.
MD/1-08/Ch. 1 MT Review
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Geometry
II. Angles
1) Classify the angle as acute, right, obtuse, or straight.
a) mKLM = 180
b) mA = 150
c) mY = 45
2) Find the measure of the unknown angle.
a) mDEF
b) mHJL
c) mQNM
3) Ray QS is the bisector of PQR. Find any angle measures not given in the diagram.
a)
b)
c)
4) Use the diagram to the right to decide whether the statement is always, sometimes, or never true.
a) If m2 = 115, then m3 = 65.
b) If m1 = 40, then m3 = 50.
c) 3 and 4 are congruent.
d) 1 and 4 are complements.
MD/1-08/Ch. 1 MT Review
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Geometry
5) A and B are complementary. Find mA and mB.
a) mA = 7x + 1, mB = 5x – 7
b) mA = 5x + 11, mB = 2x – 5
6) Ray BD bisects ABC. Find the value of x.
a)
b)
7) Find the values of the variables.
a)
MD/1-08/Ch. 1 MT Review
b)
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Geometry
III. Perimeter, Circumference, and Area. Find the perimeter (or circumference) and area of the
figure described.
1) Rectangle with length 10 cm and width 4.5 cm.
2) Circle with radius 9 in. (Use  = 3.14)
3) Triangle defined by A (-6, 0), B (2, 0), and C (-2, -3)
4) A square garden has sides of length 14 ft.
IV. Points, Lines, Planes. Decide whether the statement is true or false.
1) Point C lies on line l.
2) Point E lies on AB .
3) Points D, A, and B are collinear.
4) Points D, A, and B are coplanar.
5) Point C lies on line
6) Lines l and
m.
m intersect at E.
MD/1-08/Ch. 1 MT Review
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