Conjectures about Triangles

Multiple Choice

In quadrilateral QUAD, the m∠A = 62°. What is the measure of arc DQU?

• 236°

• 62°

• 118°

• 124°

Multiple Choice

A statement that is written in the form 'if and only if p, then q' is called a ___ statement.

• biconditional
• Conditional

• Converse

Multiple Choice

What is the hypothesis in the conditional statement: 'If Estelle goes out in the rain without an umbrella, she will get wet'?

• Estelle goes out in the rain without an umbrella

• She will get wet

• It is raining

• She has an umbrella

Multiple Choice

Write the converse of the statement: 'If Estelle goes out in the rain without an umbrella, she will get wet.' Is this a biconditional statement? Explain your reasoning.

• 'If Estelle goes out in the rain without an umbrella, she will get wet.

• 'If Estelle gets wet, she will goes out in the rain without an umbrella.

• 'If Estelle goes out in the rain with an umbrella, she will NOT get wet.

• 'If Estelle does not get wet, she will goes out in the rain with an umbrella.

Dropdown

Do you think that all conditional statements and their converses are biconditional statements?

I believe ALL conditional and converse statements ​ ​

Select answer

biconditional statements as one part of the statement ​

Select answer

always mean the second part is true

Multiple Choice

If an angle is acute, then it has a measure of less than 90 degrees.

Find the converse

• If an angle is acute, then it has a measure of less than 90 degrees.

• If an angle is NOT acute, then it has a measure of greater than 90 degrees.

• If an angle is less than 90 degrees then it is acute

• If an angle is greater than 90 degrees then it is Not acute

Multiple Choice

Conditional: If it is raining, then there are clouds in the sky

Converse: If there are clouds in the sky, then it is raining

Is this a Biconditional statement

• Yes both statements are true

• No, it does not have to rain if clouds are in the sky

• No the converse statement is the wrong statement for the given conditional

Drag and Drop

An Exterior Angle is located ​

Placeholder

An Interior Angle is located ​

Placeholder

A Remote interior Angle is located ​

Placeholder

and ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Outside of a polygon

Inside of a Polygon

creates a linear pair with the exterior angle

does not touch the exterior angle

Labelling

Label the Angles

Drag labels to their correct position on the image

Exterior aangle

Interior Angle

Remote Interior Angle

Multiple Choice

According to the Triangle Sum Theorem, what is the sum of the three angles of a triangle?

• 90°

• 180°

• 270°

• 360°

Multiple Choice

A Linear Pair, is always = to ?

• 90°

• 180°

• 270°

• 360°

Multiple Choice

The Sum of the 2 Remote Interior Angles =

• The Third Angle of a Triangle

• Exterior Angles

• Nothing

• 67

Multiple Select

Which of the following are always true about the angles of a triangle?

• The sum of the interior angles is 180°

• There can be more than one right angle

• All angles can be acute

• There can be more than one obtuse angle

Open Ended

Explain how you can use the measures of two angles in a triangle to find the third angle.

Multiple Choice

What is the sum of the interior angles of any triangle?

• 90°

• 180°

• 270°

• 360°

Multiple Choice

How many minutes are you supposed to earn in MATHIA each week

• 30 min

• 45 min

• 60 min

• 120 min