Geometry Semester 1 Final Review (Ch 1)

A line segment has a midpoint of (2, 1.5) and a length of 15 units. Which choice shows the correct endpoints of the line segment?

• (0,0) and (4,3)

• (-5, -2) and (7, 7)

• (-4, -3) and (8, 6)

• (-2, 1) and (6, 2)

What is the perimeter of square DEFG if the coordinates of D and E are D(0,0) and E(3,0)?

• 9 units²

• 9 units

• 12 units²

• 12 units

Find the area of a triangle with vertices A(0,2), B(8, 2) and C (4, -3).

• 17 units²

• 20 units²

• 15 units²

• 19 units²

Which angle measures approximately 127°?

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If m∠SQR = (2x + 6)°, m∠PQR = (10x - 5)° and m∠SQP = 61°. Find m∠SQR and m∠PQR.

• m∠SQR=45° and m∠PQR=16°

• m∠SQR=10° and m∠PQR=51°

• m∠SQR=51° and m∠PQR=10°

• m∠SQR=16° and m∠PQR=45°

If m∠GOH = 24° and m∠FOH = 50°, then what is the m∠FOG?

• 26°

• 28°

• 31°

• 23°

In the figure (not drawn to scale), ray MO bisects ∠LMN, m∠LMO = (15x - 21)° and m∠NMO = (x + 63)°. Solve for x and find m∠LMN.

• 6; 111°

• 3; 24°

• 6; 138°

• 3; 27°

Name an angle complementary to ∠BOC.

• ∠COD

• ∠BOE

• ∠DOE

• ∠AOB

Given that x < 105, which is NOT a possible value for y in the figure?

• 105°

• 65°

• 80°

• 150°

According to the diagram, which of the following statements are true?

• The area of ΔACD is 8 square units

• The area of ΔADE is 7.5 square units

• The perimeter of ΔAFB is greater than 13 units

• The perimeter of ΔABC is 12 units

• The perimeter of BCDEF is less than 24 units