Download Interventions and Extensions 4

Name: ___________________________________
Ready to Move On Quiz #4
Date: _____________
SCORE: _______/ 20 pts
Intervention 1
1. Complete the chart below.
Triangle Name
Definition
Picture
Acute
A triangle with three congruent sides.
Scalene
A triangle with three congruent angles.
The Triangle Angle Sum Theorem states that the sum of the measures of angles of a triangle is 180˚. Use this information to find
each angle.
2.
3.
4.
The Trianlge Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of its two remote (non-adjacent)
angles. Circle the number of each exterior angle and draw a box around the number of each remote interior angle.
5.
6.
7
8. Two angles of a triangle measure 53˚. What is the measure of an exterior angle at each vertex of the triangle?
Use the diagram at the right.
A. Label the interior angles 53˚, 53˚, and a.
B. Label the exterior angles adjacent to the 53˚ angles x and y and the
third exterior angle z.
C. Now complete the flow chart on the next page
9. We can also use the linear pair postulate to help us find measures of angles.
A. Are
complementary or supplementary angles?
B.
C.
10. Use the triangle at the right to complete the diagram below.
Find the measures of anlges 1 and 2 and give a reason for your explanation.
11.
12.
= ____ because__________________________
=_____because__________________________
=____because___________________________
=____because___________________________
Name: ___________________________________
Ready to Move On Quiz #4
Date: _____________
Intervention 2
For questions 1 and 2, find the value of x. Show all work.
1.
2.
3. Find the measures of the numbered angles. Given 𝑚∠𝐴𝐵𝐶 = 84°. Show all work.
4. The picture shows an example of a draw bridge. Use the given information to find 𝑚∠1.
̅̅̅̅ ⊥ 𝑄𝑅
̅̅̅̅
5. Find each numbered angle if 𝑃𝑄
6.
∠1 = __________
∠2 = __________
∠3 = __________
∠4 = __________
∠5 = __________
∠6 = __________
SCORE: _______/ 20 pts
Name: ___________________________________
Ready to Move On Quiz #4
Date: _____________
SCORE: _______/ 20 pts
Extensions
1. When radar tracks an object, the reflection of signals off the ground can result in clutter. Clutter causes the receiver to
confuse the real object with its reflection, called a ghost. At the right, there is a radar receiver at A, an airplane at B, and
the airplane’s ghost at D. What is the value of x?
2. Find the measure of each numbered angle if 𝑚∠𝐷𝐺𝐹 = 53 𝑎𝑛𝑑 𝑚∠𝐴𝐺𝐶 = 40
For question 3-4, Identify the indicated type of triangle (by sides and angles) if ̅̅̅̅
𝐵𝐶 ≅ ̅̅̅̅
𝐴𝐷 , ̅̅̅̅
𝐸𝐵 ≅ ̅̅̅̅
𝐸𝐶 , 𝑎𝑛𝑑 𝑚∠𝐴𝐸𝐷 =
125°
3. ∆𝐴𝐸𝐷
4. ∆𝐵𝐸𝐶
5. A watchtower, built to help prevent forest fires, was designed as an isosceles triangle. If the side of the tower meets
the ground at a 105 degree angle, what is the measure of the angle at the top of the tower? Show all work or explain
your reasoning.