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Geometry Review: Angles
1) Based on the diagram below, which statement is
true?
2) A transversal intersects two lines. Which condition
would always make the two lines parallel?
1) Vertical angles are congruent.
2) Alternate interior angles are congruent.
3) Corresponding angles are supplementary.
4) Same-side interior angles are complementary
3) In the diagram below of
, and
,
,
.
4) An overhead view of a revolving door is shown in
the accompanying diagram. Each panel is 1.5 meters
wide.
What is the exact width of d, the opening from B to C?
5) Which set of numbers could be the lengths of the
6) The diagram below shows a pennant in the shape of
sides of a right triangle?
1)
an isosceles triangle. The equal sides each measure 13,
the altitude is
, and the base is 2x.
2)
3)
4)
What is the length of the base?
7) Juliann plans on drawing ABC, where the
measure of A can range from 50° to 60° and the
measure of B can range from 90° to 100°.
Given these conditions, what is the correct range
of measures possible for C ?
8) In an equilateral triangle, what is the difference
between the sum of the exterior angles and the sum
of the interior angles?
(1) 180°
(2) 120°
(3) 90°
(4) 60°
(1) 20° to 40° (2) 30° to 50°
(3) 80° to 90° (4) 120° to 130°
9) The degree measures of the angles of ABC are 10) In ABC, mA  95, mB  50, and
represented by x, 3x, and 5x  54. Find the value mC  35. Which expression correctly relates the
of x.
lengths of the sides of this triangle?
(1) AB < BC < CA
(3) AC < BC < AB
(2) AB < AC < BC
(4) BC < AC < AB
11) In the diagram below of ABC with side The
AC a 12) The accompanying diagram shows the roof of a
extended through D, mA  37 and mBCD  117. house that is in the shape of an isosceles triangle.
Which side of ABC is the longest side? Justify The vertex angle formed at the peak of the roof is
84°.
your answer.
What is the measure of x?
13) Tina wants to sew a piece of fabric into a scarf in
the shape of an isosceles triangle, as shown in the
accompanying diagram.
14) In the diagram of
measure of
is 40°.
What is the measure of
below,
. The
?
What are the values of x and y?
15) In
,
and
. Find
16) In the accompanying diagram, isosceles
Find
and
.
.
,
, and
.
17) In isosceles triangle ABC,
1)
2)
3)
4)
18) In
,
always true?
1)
2)
3)
4)
. Which statement will always be true?
. An altitude is drawn from B to
and intersects
at D. Which conclusion is not