Secondary II
Chapter 7 Review
Name __________________________________________
1. Quadrilateral VWXY is a square
2. Quadrilateral PQRS is a rectangle
a) Name all parallel segments.
a) Name all parallel segments.
b) Name all congruent segments.
b) Name all congruent segments.
c) Name all right angles.
c) Name all right angles.
d) Name all congruent angles.
d) Name all congruent angles.
e) Name all congruent triangles.
e) Name all congruent triangles.
Period ______
3. Quadrilateral PLGM is a parallelogram
4. Quadrilateral RHMB is a rhombus
a) If m∠𝑃𝐿𝐺 = 124°, what is 𝑚∠𝐺𝑀𝑃?
a) If 𝑚∠𝐻𝑅𝐵 𝑖𝑠 70°, what is 𝑚∠𝐻𝑀𝐵?
b) If 𝑚∠𝐿𝑃𝑀 = 56°, what is 𝑚∠𝐿𝐺𝑀?
b) If 𝑚∠𝑅𝐻𝐵 = 55°, what is ∠𝑀𝐻𝐵?
̅̅̅̅ = 20 meters, what is 𝑀𝑃
̅̅̅̅̅?
c) If 𝐿𝐺
̅̅̅̅̅̅
̅̅̅̅ = 25 𝑓𝑒𝑒𝑡, what is 𝐻𝑅?
c)If 𝑅𝐵
d) If ̅̅̅̅
𝑃𝑅 = 12 𝑖𝑛𝑐ℎ𝑒𝑠, what is ̅̅̅̅
𝐺𝑅 ?
d) If ̅̅̅̅
𝐻𝑆 = 18 𝑐𝑚, what is ̅̅̅̅
𝑆𝐵?
e) What is 𝑚∠𝑅𝑆𝐵?
Secondary II
5. Quadrilateral ABCD is a kite
6. Quadrilateral WXYZ is an isosceles trapezoid
a) If 𝑚∠𝐴𝐵𝐶 = 95°, what is 𝑚∠𝐴𝐷𝐶?
a) If 𝑚∠𝑋𝑊𝑍 = 66°, what is 𝑚∠𝑌𝑍𝑊?
b) If 𝑚∠𝐵𝐶𝐸 = 34°, what is 𝑚∠𝐸𝐵𝐶?
b) If ̅̅̅̅̅
𝑊𝑌 = 10 𝑖𝑛𝑐ℎ𝑒𝑠, what is ̅̅̅̅
𝑍𝑋?
̅̅̅̅ = 16 𝑓𝑒𝑒𝑡, what is 𝐴𝐷
̅̅̅̅ ?
c) If 𝐴𝐵
̅̅̅̅̅ = 7 𝑖𝑛𝑐ℎ𝑒𝑠, what is ̅̅̅̅
c) If 𝑊𝑋
𝑍𝑌?
̅̅̅̅ = 25 𝑓𝑒𝑒𝑡, what is 𝐸𝐷
̅̅̅̅ ?
d) If 𝐵𝐷
7. Determine each measure of a regular nonagon.
8. Determine each measure of a regular 15-gon.
a) The sum of the interior angles.
a) The sum of the interior angles.
b) The measure of an interior angle.
b) The measure of an interior angle.
c) The measure of an exterior angle.
c) The measure of an exterior angle.
Determine the measure of each missing angle in each figure.
9.
10.
Secondary II
11. Use the figure to answer each question.
a) What is the sum of the measures of the interior angles?
b) What is the value of x?
c) What is the measure of ∠𝑅𝑄𝑃?
12. Suppose that the measure of each interior angle of a regular polygon is 157.5°. Classify the polygon.
13. Suppose that the measure of each exterior angle of a regular polygon is 22.5°. Classify the polygon.
14. Find the measure of the midsegment.
15. Find the value of x.
List all types of quadrilaterals with the given characteristics.
16. The quadrilateral has four congruent sides.
17. Exactly one pair of opposite sides of the quadrilateral is parallel.
18. Opposite angles of the quadrilateral are congruent.
19. Exactly two pairs of adjacent sides are congruent.
20. The sum of the measures of the exterior angles of the quadrilateral is 360°.
21. The diagonals of the quadrilateral do not bisect each other.
22. Quadrilateral ABCD has congruent diagonals that are perpendicular to each other.
23. Quadrilateral JKLM has consecutive vertex angles that are supplementary but not congruent. If the
diagonals bisect vertex angles, what type of quadrilateral is JKLM?
Secondary II
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