Geometry Quiz

Find the value of x given that CD is a midsegment.

• x = 6

• x = 5

• x = 4

• x = 3

Answer explanation

Since CD is a midsegment, it is parallel to the base and half its length. If the lengths of the bases are given, you can set up an equation to find x. The correct value that satisfies this condition is x = 4.

B is between A and C. AB = 9x, BC = x + 1, and AC = 41. Find the length of AB.

• 36 units

• 5 units

• 4 units

• 15 units

Answer explanation

Given AB + BC = AC, we have 9x + (x + 1) = 41. Simplifying gives 10x + 1 = 41, leading to 10x = 40, so x = 4. Therefore, AB = 9x = 36 units. The correct answer is 36 units.

Tags

CCSS.HSG.SRT.B.4

An angle with a measure of 180° is called?

• Acute

• Straight

• Right

• Obtuse

Answer explanation

An angle measuring 180° is called a straight angle. It forms a straight line, distinguishing it from acute (less than 90°), right (exactly 90°), and obtuse (greater than 90° but less than 180°) angles.

Tags

CCSS.4.G.A.1

A specific case that proves a conjecture is false.

• Postulate

• Theorem

• Counterexample

• Deductive Reasoning

Answer explanation

A counterexample is a specific case that disproves a conjecture, demonstrating that it is not universally true. In contrast, a postulate is assumed true, and a theorem is proven true, making 'counterexample' the correct choice.

Tags

CCSS.HSG.CO.B.7

Which term names a portion of a line with one endpoint that continues forever in one direction?

• point

• line

• segment

• ray

Answer explanation

A ray is defined as a part of a line that has one endpoint and extends infinitely in one direction. This distinguishes it from a line (which has no endpoints) and a segment (which has two endpoints).

Tags

CCSS.4.G.A.1

Name a pair of adjacent angles.

• ∠2 and ∠3

• ∠1 and ∠4

• ∠2 and ∠5

• ∠3 and ∠5

Answer explanation

∠3 and ∠5 are adjacent angles because they share a common vertex and a side, making them directly next to each other. The other pairs do not meet this criterion.

If △MNL ≅ △PQR, then ML = ?

• PR

• PQ

• QR

• MN

Answer explanation

Since △MNL ≅ △PQR, corresponding sides are equal. Therefore, ML corresponds to QR. Thus, ML = QR.

A geometric drawing using only a compass and straightedge is called?

• Image

• Preimage

• Sketch

• Construction

Answer explanation

A geometric drawing made with only a compass and straightedge is known as a 'Construction'. This term specifically refers to the method of creating geometric figures using these tools.

Tags

CCSS.HSG.CO.C.9

Find FG given that EH is a median.

• 22

• 20

• 44

• 2

Answer explanation

Since EH is a median, it divides the triangle into two equal areas. The length FG can be calculated using the properties of medians in triangles, leading to the conclusion that FG equals 44.

Tags

CCSS.HSG.CO.C.10

Determine whether the lines are parallel, perpendicular or neither. Line 1: (1, 0) and (7, 4) Line 2: (7, 0) and (3, 6)

• Parallel

• Perpendicular

• Neither

Answer explanation

To determine the relationship between the lines, we calculate their slopes. Line 1 has a slope of 2/3, and Line 2 has a slope of -3/2. Since the slopes are neither equal (not parallel) nor negative reciprocals (not perpendicular), the lines are neither.