Geometry Midterm Exam Review

In the diagram at right of △ACE, medians AD, EB, and CF intersect at G. The length of AG is 32 cm. What is the length, in centimeters, of DG? Enter your answer in the box.

In the diagram of △KLM below, m∠L=70, m∠M=50, and MK is extended through N. What is the measure of ∠LKN?

• 120°

• 60°

• 300°

• 180°

In the diagram at right of △AGE and △OLD, ∠GAE≅∠LOD, and AE≅OD. To prove △AGE≅△OLD by SAS, what other information is needed?

• ∠AEG ≅ ∠ODL

• GE ≅ LD

• ∠AGE ≅ ∠OLD

• AG ≅ OL

Transversal EF intersects AB and CD as shown in the diagram below. Which statement could always be used to prove AB∥ CD?

• ∠3 and ∠6 are supplementary.

• ∠2≅∠4

• ∠7≅∠8

• ∠1 and ∠5 are supplementary.

In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?

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In the diagram at right, △LMO is isosceles with LO=MO. m∠NOM = 28° and m∠L=55°, Determine m∠N. Enter your answer in the space provided.

Find the coordinates of the midpoint of a segment having endpoints at Q(1,−3) and R(11,5). Enter your coordinates in the spaces provided.

What is the converse of 'If an angle measures 90°, then it is a right angle" ?

• An angle is a right angle if it measures 90°

• If an angle is a right angle, then it measures 90°

• If an angle does not measure 90°, then it is not a right angle.

• If an angle is a not a right angle, then it does not measure 90°.

In △ABC, AB= 5 feet and BC = 3 feet. Which inequality represent all possible values for the length of AC, in feet?

• 2 ≤ AC ≤ 8

• 2 < AC < 8

• 3 ≤ AC ≤ 7

• 3 < AC < 7

In the figure, GK bisects ∠FGH. If m∠HGK = 6w − 4 and m∠FGH = 124, find the value of w. Enter your response in the grid below.