Unit Test — Cumulative exam Answers

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Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Question illustration
A
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
B
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
C
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
D
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
22
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Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons1.ABCD is a square1.given2.∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles2.definition of a square3.∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA3.right angles are congruent4.AB ≅ BC ≅ CD ≅ DA4.?5.△BAD ≅ △ABC5.SAS6.BD ≅ AC6.CPCTCWhat is the missing reason in the proof?

Question illustration
A
all sides of a square are congruent
B
all right angles measure 90°
C
definition of diagonal
D
definition of perpendicular
23

Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.
24

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

A
14.2 feet
B
17.1 feet
C
47.6 feet
D
55.2 feet
25

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

A
8, 10, 14
B
9, 12, 15
C
10, 14, 17
D
12, 15, 19

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