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Review for Triangles and Quadrilaterals Test
1. The diagram below shows
, and
.
If
, what is
?
, with
Geometry CC
6. Which numbers could represent the lengths of the
sides of a triangle?
1)
2)
3)
4)
,
2. The angles of triangle ABC are in the ratio of
What is the measure of the smallest angle?
3. Triangle PQR has angles in the ratio of
Which type of triangle is
?
1) acute
2) isosceles
3) obtuse
4) right
4. In the diagram of
point D.
below,
.
7. If two sides of a triangle are 1 and 3, the third side
may be
1) 5
2) 2
3) 3
4) 4
8. On the banks of a river, surveyors marked locations
A, B, and C. The measure of
and the
measure of
.
.
is extended to
Which expression shows the relationship between
the lengths of the sides of this triangle?
1)
2)
3)
4)
If
what is
,
,
,
?
5. In the diagram below of
to point A.
Which statement must be true?
1)
2)
3)
4)
, side
is extended
9. In the diagram below of
, D is the midpoint of
, and E is the midpoint of
.
If
, which expression represents DE?
1)
2)
3)
4)
10. In the diagram below, parallelogram ABCD has
diagonals
and
that intersect at point E.
Which expression is not always true?
1)
2)
3)
4)
11. Which statement is not always true about a
parallelogram?
1) The diagonals are congruent.
2) The opposite sides are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
12. Which statement is true about every
parallelogram?
1) All four sides are congruent.
2) The interior angles are all congruent.
3) Two pairs of opposite sides are congruent.
4) The diagonals are perpendicular to each
other.
13. In the diagram below of parallelogram STUV,
,
, and
.
14. In the diagram below of parallelogram ABCD with
diagonals
and
,
and
.
What is the measure of
?
15. Which quadrilateral has diagonals that always
bisect its angles and also bisect each other?
1) rhombus
2) rectangle
3) parallelogram
4) isosceles trapezoid
16. The diagonals of a quadrilateral are congruent but
do not bisect each other. This quadrilateral is
1) an isosceles trapezoid
2) a parallelogram
3) a rectangle
4) a rhombus
17. Which quadrilateral does not always have
congruent diagonals?
1) isosceles trapezoid
2) rectangle
3) rhombus
4) square
18. In quadrilateral ABCD, the diagonals bisect its
angles. If the diagonals are not congruent,
quadrilateral ABCD must be a
1) square
2) rectangle
3) rhombus
4) Trapezoid
19. If the diagonals of a quadrilateral do not bisect
each other, then the quadrilateral could be a
1) rectangle
2) rhombus
3) square
4) trapezoid
What is the length of
?
20. As shown in the diagram of rectangle ABCD
below, diagonals
and
intersect at E.
If
is
1)
2)
3)
4)
and
, then the length of
6
10
12
24
23. In the diagram of trapezoid ABCD below,
,
What is
, and
24. Trapezoid TRAP, with midsegment
, is shown
in the diagram below. Solve algebraically for x
and y.
25. Proof involving rectangle
26. Triangle Inequality proof.
, what is
22. In the diagram below,
trapezoid ABCD.
If
,
the value of x?
.
?
21. In the diagram below, MATH is a rhombus with
diagonals
and
.
If
,
?
is the median of
, and
, what is