Answers25-26 MISD Geometry A - CRUnit Test

Unit Test — Test Answers

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1
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Point Z is the circumcenter of ΔTUV.

Question illustration
A
23.7°
B
32.8°
C
33.5°
D
57.2°
2
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is the angle bisector of YEX and the perpendicular bisector of . is the angle bisector of YGZ and the perpendicular bisector of . is the angle bisector of ZFX and the perpendicular bisector of . Point A is the intersection of , , and .

Question illustration
A
Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z.
B
Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G.
C
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
D
Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z.
3

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

1
10.2 inches
2
24.0 inches
2
28.2 inches
3
30.0 inches
4

Point Z is equidistant from the vertices of ΔTUV.

Question illustration
A
Line segment T A is-congruent-to line segment T B
Option A
B
Line segment A Z is-congruent-to line segment B Z
Option B
C
BTZ BUZ
Option C
D
TZA TZB
Option D
5

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

8
8, 10, 14
9
9, 12, 15
1
10, 14, 17
1
12, 15, 19
6

Jace is making a water play table from a triangular table top. He sketched a dotted line to show where he wants to add a circular water bowl. It should go all the way to the edges of the table as shown.

Question illustration
A
He should find the midpoint of each edge of the table.
B
He should bisect each of the angles at the vertices of the triangular table top.
C
He should draw perpendicular lines through any point along the edges of the table.
D
He should draw perpendicular line segments from each corner to the opposite edge of the table.
7

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.
8

[Figure may not be drawn to scale]

Question illustration
A
25 units
B
50 units
C
100 units
D
150 units
9

Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.Triangle 1: 3 in., 6 in., 7 in.Triangle 2: 3 in., 6 in., 8 in.Triangle 3: 3 in., 7 in., 8 in.Triangle 4: 6 in., 7 in., 8 in.

1
1
2
2
3
3
4
4
10

[Figure may not be drawn to scale]

Question illustration
A
12 mm
B
24 mm
C
36 mm
D
48 mm
11

Triangle J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M, and L N are created.

Question illustration
A
LN ⊥ JK, JO ⊥ LK, and JL ⊥ MK.
B
JL = LK = KJ
C
JM = ML, LO = OK, and KN = NJ.
D
LN is a perpendicular bisector of JK, JO is a perpendicular bisector of LK, and MK is a perpendicular bisector of JL.
12

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.What is the greatest possible whole-number value of the congruent side lengths?

9
9 cm
1
10 cm
1
14 cm
1
15 cm

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