Answers Geometry A - Q1Unit Test

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Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

∠JKL

∠MKL

∠KLM

∠LMK

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Triangle XYZ is isosceles. Angle Y measures a°.

StartFraction a Over 2 EndFraction

90 a

180 2a

In which figure is point G a centroid?

Triangle A B C is a right triangle. Lines are drawn from each point to the opposite side and intersect at point G.

Triangle F D E is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each line segment splits each side into 2 equal parts.

Triangle L M N is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each angle has a different measure.

Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and they intersect at point G.

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

mX < mZ < mY

mY < mZ < mX

mY < mX < mZ

mZ < mY < mX

Consider triangle WXY.

Angle W is greater than angle Y.

Angle Y is the largest angle.

Angle X is smaller than angle W.

Angle W is the smallest angle.

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

x = 2.25

x = 11.25

x = 13

x = 22

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

3 inches

6 inches

12 inches

18 inches

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

m∠A = 15° and m∠C = 35°

m∠A + m∠B = 155°

m∠A + m∠C = 60°

m∠A = 20° and m∠C = 30°

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

54°

72°

108°

144°

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

5 cm and 8 cm

6 cm and 7 cm

7 cm and 2 cm

8 cm and 9 cm

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

m∠ABC = 15°

m∠ABC = 45°

m∠ABC = 60°

m∠ABC = 75°

In the triangles, and .

congruent to

longer than

shorter than

the same length as

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

Angle L is a base angle and measures 36°.

Angle L is a base angle and measures 72°.

Angle L is a vertex angle and measures 36°.

Angle L is a vertex angle and measures 72°.

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

Nigel is closer because his distance to the chest is opposite the larger angle.

Mia is closer because her distance to the chest is opposite the smaller angle.

Nigel is closer because his distance from the chest is 100 meters.

Mia is closer because her distance from the chest is 100 meters.

Which statements regarding the diagram of ΔEBC are true? Select three options.

∠BEC is an exterior angle.

∠DEC is an exterior angle.

∠ABE and ∠EBC are supplementary angles.

∠BCF and ∠DEC are supplementary angles.

∠BEC is a remote interior angle to exterior ∠BCF.

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.