Name______Date______
Chapter Test B
For use after the chapter “Essentials of Geometry”
In Exercises 1-3, use the diagram to decide whether the
statement is true or false.
1.Point R lies on line g.
2.Points A, M, R, and Z are coplanar.
3. Points A and Q are collinear.
4. The diagram shows three
houses on a street. Find the
distance from House A to
House C.
In each diagram, M is the midpoint of the segment. Find the
indicated length.
5.XM6.CG
Find the exact distance between the points.
7.A and B
8.C and F
9.D and E
Use the endpoint and midpoint M of the segment to find the
coordinates of the other endpoint.
10.; A(–1, 3), M(3, 1)11.; C(–2, –3), M(–4, 2)
Use the given information to find the value of x.
12.ABD DBC13.WXZ ZXY
Name______Date______
Chapter Test Bcontinued
For use after the chapter “Essentials of Geometry”
14.Given that 1 is a complement of 2 and m2 = 17º, find m1.
15.Given that 3 is a supplement of 4 and m3 = 46º, find m4.
16.Two angles form a linear pair. The measure of one angle is four times
greater than the measure of the other angle. Find the measure of each
angle.
17. Two angles form a linear pair. The measure of one angle is six more
than twice the measure of the other angle. Find the measure of each
angle.
Tell whether the statement is always, sometimes, or
never true.
18.A pentagon is a plane figure.
19.A triangle is concave.
20.A hexagon has six congruent sides.
21.A quadrilateral is equiangular but not equilateral.
22.The complement of an acute angle is an acute angle.
23.The supplement of an acute angle is an obtuse angle.
Classify the polygon by the number of sides. Tell whether the
polygon is equilateral, equiangular, or regular. Explain your
reasoning.
24.25.
26. The lengths of two sides of a regular hexagon are 3x – 8 and 2x – 1.
Find the length of each side of the hexagon.
27.The expressions (5x + 5)° and (4x + 13)° represent the measures of
two angles of a regular octagon. Find the measure of an angle of the
octagon.
28.Joe ran from Point A to Point
C and Mike ran from Point B to
Point C. About how much farther
did Joe run than Mike? Round
your answer to the nearest tenth.
The distance between consecutive
grid lines represents 1 yard.
Name______Date______
Chapter Test C
For use after the chapter “Essentials of Geometry”
In Exercises 1-4, use the diagram.
1.Name the intersection ofand.
2.Name the intersection of plane ABC
and plane LOD.
3.Name three planes that intersect at
point O.
4.Name three lines that intersect at
point N.
5.The midpoint of is M(–1, 3). One endpoint is F(–2, 5). Find the
coordinates of endpoint G.
6.The midpoint of is M(2, 1.5). One endpoint is R(1, –1). Find the
coordinates of endpoint Q.
The endpoints of two segments are given. Find the exact
length of each segment. Tell whether the segments are
congruent.
7.; A(1, 1), B(5, 3) 8.; W(1, 2), X(5, 1)
; C(–3, –2), D(–1, 2); Y(4, 1), Z(2, 4)
9.Given that mQRT = 95º, find
mQRS and mSRT.
10.Given that ABD is a straight
angle, find mABC and
mCBD.
11.Given that XYZ and LMN are
complementary angles, find
mXYZ and mLMN.
12.Given that QRS and EFG are
supplementary angles, find
mQRS and mEFG.
Name______Date______
Chapter Test Ccontinued
For use after the chapter “Essentials of Geometry”
13.FGH and HGJ form a linear pair. Find the measures of the
angles if mFGH = 11xº and mHGJ = (6x – 7)º.
14.LMN and NMO form a linear pair. Find the measures of the
angles if mLMN = (3x + 10)º and mNMO= (2x + 45)º.
Draw a figure that fits the description.
15.A regular triangle16.A quadrilateral that is
equilateral but not equiangular
17. A concave pentagon18.An isosceles triangle that is not
equiangular
Tell whether the statement is always, sometimes, or never true.
19. A nonagon is a plane figure.
20. A quadrilateral is convex.
21. A hexagon is equiangular but not equilateral.
22. The complement of the supplement of an angle is an acute angle.
23.Tony walks from point A to
point B and then from point B
to point C as shown in the
diagram. How many feet could
he have saved by walking on
the diagonal sidewalk from
point A directly to point C?
Round your answer to the
nearest foot. The distance
between consecutive grid
lines represents 4 feet.
Answers forEssentials of Geometry
Chapter Test B
1.false2.true3.true4.150 ft5.7 6.38
7.8.9. 10.(7, – 1)
11.(–6, 7)12.513.2414.73º15.134º
16.36º; 144º17.58º; 122º18.always
19.never20.sometimes21.sometimes
22.always23.always24.regular triangle; it
has all angles and sides congruent25.equilateral;
it has all sides congruent but not all angles26.13
27.135°28.0.5 yd
Chapter Test C
1.Point L2.
3.Planes LON, CNO, and ALO
4.,, and5.(0, 1)6.(3, 4)
7.AB =CD =
8.WX =; YZ =; ≇
9.mQRS = 30º; mSRT = 65º
10.mABC = 35º; mCBD = 145º
11.mXYZ = 24º; mLMN = 66º
12.mQRS = 67º; mEFG = 113º
13.mFGH = 121º; mHGJ = 59º
14.mLMN = 85º; mNMO= 95º
15.16.
17.Sample answer:18.Sample answer:
19.always20.sometimes21.sometimes
22.always23.9 ft